1.04k likes | 1.16k Views
????? ?????? ??? ??? ????? ?? ??? ?????? (power point) . ???? ????? ?????? : ???? ??? ??? ???? ???? ??? ???? ???? ??????? ???? ??? . ??? : ???????? ????? (2) ????? ???? ???? : 3 ???????? ???? : ???????? ????? (2) ????? ????? ????
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2. ??? ??? ?? ?????? ??? ???? ?????
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???????? ?? ?? ??? ??? ????? ?? ???? ?????? .
???? ??? (?) ?? ???? ?? ?????? ? ?? ?????? ????????
3. ????? ?????? ??? ??? ????? ?? ??? ?????? (power point) ???? ????? ?????? : ???? ??? ??? ???? ????
??? ???? ???? ??????? ???? ??? ??? : ???????? ????? (2)
????? ???? ???? : 3 ????
???? ???? : ???????? ????? (2) ????? ????? ???? ????? ?????
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4. ??? ??? : ???? ?? ??? ???????? ?????? (2) ?????? ?????? ????????? ?? ???? ????? ???? ?????? ?? ????? ????? ????? ?????? ????? ? ??????? ???? ??????? ???? ? ????? ? ???????? ????? ??? ????????? ? ????? ???? ?????? ? ????? ? ????? ????? ??? ?????? ? ???? ??? .
5. ?????? ??? : ???????? ????? (2) ?? ???? 3 ????? ?? ???? ??? ???? ???? ???????? ???? ???????? ??? .
??? ???? ??? ??? ? ???????? ????? (1) ?? ???? 3 ????? ?? ?????? ???? ??? ????? ??? .
??? ??? ??? ????? ??? ????????? ?????? (3) ?? ??????? ???? ??? ??? ???????? ???????? ??? .
6. ??? ??? : ??? ???
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7. ??? ??? ซ ????? ???? ????? ?? ??????? ป ??? ??? ??????? ?????? ?? :
???? ?????? ???? ???? ??? ????? ????? ??? ?? ???? ???? ?????? ???? ? ??? ???? ?? ????? ????? ?????? ????? .
???? ????? ????? ????? ??? ????? ?? ??? ???? ?????? ?? ??? ??? ซ ??????? ป ? ซ ????? ????? ?? ????? ????? ป .
8. ?????? :
?? ????? ?? ???? ????? ?? ??? ?? ?????? ????? ????? ?? ????? ???? ????? ????? ? ?????? ????? ????? ??? . ?????? ?? ????? ?? ?????? ??? ????? ??? :
1- ????? ????? ??? ???? ????? ?? ????? (?????) : ???????? ????? ?? ?? ?????? ????? ???? ????? ?????? ? ???? ?????? ????????? ????? . ??????? ?????? ???? ??????? ? ????? ?????? ? ? ???? ??? ?? ???? ????? ????? ?? ???? ????? .
2- ????? ????? ???? ????? ?? ????? : ???????? ????? ?? ???? ?????? ????????? ???? ? ?? ?????? ????? ???? ????? ?????? ??? . ??? ???? ????? ? ??????? ????? ? ?? ?????? ???? ????? ????? ?? ?? ????? ????? ???? ?? ???? ? ????? ?????? ????? ???????? .
9. 3- ?? ????? ?? : ?? ???? ?? ????? ? ???? ?? ???? ????? ????? ?? ????? ????? ???? ?? ??? ????? ?? ??? ? ????? ????? ???? ?? ??????? ???? ???? ? ?? ???? ???? ?? ?? ????? ?? ??? ???? ?? ????? ??????? ??? ?? ??? . ?? ???? ?? ????? ?? ????? ?? ????? ???? ???? ????? .
4- ??? : ????? ??? ?? ?? ????? ????? ???? ?? ?????? ????? ????? ?? ??? ? ????? ????? ?? ??????? ????? ??? ? ?? ??????? ?? ????? ????? ? ?? ???? .
5- ???? ??? (????? ?? ??????) : ???? ?? ???? ????? ??? ?? ?? ????? ????? ????? ?? ???? ???? ??? ???? ?? ??? . ??? ??? ??? ?? ??????? ??? ??? ? ?? ?????? ????? ??? ?? ??????? ??? ???? .
???? ??? ?? ????? ???? ??? ????? ???? ???? ???? .
10. ????? ???? ?????? :
?? ??? ????? ???? ? ?????? ?? ?? ???? ????? ?? ??? :
??? ?????? ???? : ??????? ??? ?? ??? ???? ?????? ??? ? ?? ?????? ????? ?? ????? ????? ?? ??? (????? ?????) ? ????? ?? ?? ??? ??? ???? ??? ??? .
? ?????? ??? ???? : ??????? ??? ?? ???? ?????? ??? ? ????? ?? ?? ??? ??? ???? ???? ??? ? ?????? ?? ??? ???? ????????? ??? ???? ????? ??? ??? ? ?? ????? ????? ???? ????? ?? ??? .
????? ?????? ???? ?? ????? ??? ?? ????? ????? ??? ????? ???? ??? ? ????? ????? ??? ????? (???? ? ????? ) ?? ???? ?? ???? ???? ?????? ?? ??????? ???? ????? ?? ???? .
11. ?? ????? ?? ?????? ???? ???? ????? ? ??????? ? ?? ?? ?????? ?????? ????? ????? ??? ? ????? ?????? ???? ?? ???? ?????? ??? ?? ??????? ????? ??? ?????? ????? ? ?????? ????? ?? ????? ???? ??? ???? ????? ?? ???? . ???? ???? ??? ??? ? ????? ?????? ???? ?? ???? ????? ???? ????? ??? ????? ??? ??? ?? ????? ????? ?????? ???? ?? ??? ?????? ????? ??? .
?? ????? ?? ?????? ???? ?? ?????? ?????? ????? ????? ??? (??????? ??? ) ? ????? ?????? ???? ?? ???? ????? ???? ????? ??? ????? ? ????? ?????? ???? ??? ?? ????? ????? ??? ????? ?? ???? .
?? ????? ?? ?????? ???? ?? ???? ???? ?? ?????? ????? ????? ?? ??????? ??? ? ?? ???? ????? ???? ????? ??? ?????? ? ? ????? ???? ?? ?? ??? ????? ????? ??? ? ????? ??????? ???? ( ?? ????? ?? ?? ???? ?????? ????? ???? ) ?? ???? ????? ?? ??? .
????????? ?????? ???? ????? ???? ???? ???? ? ???? ???? ??????? ?????? ?? ?? ????? ??? ????? ??? ? ?? ????? ?????? ?????? ?? ????? ??? ?? ??? .
12. ?? ???? ?????? ??? ???? ? ?????? ?? ???? ???? ?????? ? ????? ??????? ???? ??? ?? ???? ????? ???? ????? ??? ?????? ?? ??? . ??? ?? ???? ????? ????? ??? ????? ? ???? ???? ??? ??????? ???? ??? ????? ????? ???? ?????? ??? ? ?????? ???? ???? ?? ?????? ?? ????? ??? ? ?? ???? ??? ? ???? ???? ???? ????? ?? ???? .
?????? ??? ? ?????? ??? ???? ????? ???? ???? ???? ? ???? ??????? ???? ??????? ???? ??? ?????? ??? ? ?? ?? ???? ???? ?? ?????? ??? ? ?????? ?????? ?????? ?? ????? ????? ?? ??? .
13. ???? 1-1 ???? ????? ???? ?????? ?? ???? ????? ???? ?? ??? :
14. ?? ????? ????? ??? ???
15. ?? ????? 11-1
17. ?? ????? 12-1
19. ????? ?????? : 5778 = [(0157/10 ื5/192) + (10ื 385)]
20. ?? ????? 13-1
22. ?? ????? 14-1
26. ?? ????? 15-1
28. ?? ????? 16-1 :
29. 4) ???? ????? ????? ?? :
????? ????? ??? ? ?????? ????? (45/35ื40000) 1418000
?????? ???? (5/27ื2200) = (25/2ื2200) + (7/5ื1540) 74228
???? ???? ??? ??????? ????? ??? ? ?????? ????? 1492228
30. ???? ????? ?? ????? ???? ????? ????
(5/27 ื 4000) + (25/2 ื 2000) + (7/5ื800) + 119060
?????? ??? ???? (5/27 ื 1800) + 25/2 ื 1800) + (7/5 ื 1260) 60732
??? ????? ??? ????? ????? 1672020
????? ???????? ?? ?? ???? 70% ????? ??? :
44000 = ( ?????? ??? ???? ) 4000 48000
5) ??? ?????? ???? ?? ???? ???? ??? ????? ???? (??? ?? ????? ????? ??? ? ?? ????? ???? ) ????? ?? ??? . ???????? ?????? ???? ???? ??? ????? ???? ???? ?? ???? ??? ? ???? ? ?????? ????????? ???? ?? ???????? ????? ?? ??? .
? ???? ???? ?? ?????? ??? ???? ?? ???? ??? ? ???? ????? ?? ??? .
? ?????? ?????? ???? ?? ???????? ????? ?? ??? .
? ?????? ?????? ???? ?????????? ????? ?? ??? .
31. ?? ????? 17-1 ???? ??? : ????? ????? ??? ?? ??????? ???? ??? ?? ??? ?????? ???? ???? ? ????? ???? ??????? ????? ???? . ???? ?? ??????? ???? ??? (600 = 6/0 ื 1000) ?????? ?? ??? ? ?? ????? ???? ???? ??? ??????? ???? ??? ?? ?? ????? ??? ????? ??? ?? ??? .
???? ??? : ????? ????? ??? ?? ??????? ???? ??? ?? ??? ?????? ???? ???? ? ????? ???? ??????? ???? . ? ??????? ???? ????? ????? ?????? ???? ?? ?????? ????? ????? ????? ???? .
???? ??? : ????? ????? ??? ?? ??????? ???? ??? ?? ??? ?????? ??? ???? ? ? ????? ???? ??????? ????? ????? ? ? ?? ?? ??? ??? ?? ??????? ????? ????? ???? ??????? ?????? ???? ? ?? ??? ???? ?? ???? ???? ???? ????? ?? ???? .
32. ?? ????? 18-1
35. ?? ????? 19-1
37. ?? ????? 20-1
40. ?? ????? 21-1
51. ?? ????? 24-1
82. ????? ???? ??????? ????? : ??????? ????? ???????? ????? ?? ?? ????? ?? ?? ??? ????? ?????? ????? (???? ????? ) ???? ?????? ????? ?? ???? . ?? ????? ?? ?????? ?? ???? ???? ????? ????? ????? ??? ???? ?? ???? ??????? ???????? ???? ? ????? ???? ?????? ??? ? ???? ??????? ???? ?? ???? . ????? ??? ????? ????? ? ?? ????? ?????? ????? ? ????? ??? ????? ?????? ?? ??? ? ???? ??? ??????? ????? ????? ???? .
83. ???? ????? ????? ??? ????? ??? ??????? ????? (????) ?? ??? ????? ???? ???? ?? ??????? ?? :
??? ????? ????? ??? ????? ?? ??????? ?? ???? ???? ??????? ? ?? ?? ?? ??? ???? ????? ?? ??? :
1- ??? ???? ???? ???? ?? ???? ????? : ?? ???? ??? ??? ????? ??? ????? ?? ???? ???? ???? ??????? ??????? ?? ???? ????? ????? ?? ??? .
???? ???? ??? ?? ??? ??????? ??? ?? ???? ?????? ??? ?? ??? ??? :
????? ????? ??????? ????? ??? ? ? : ?? ????? 1000 ???? ? 2000 ???? ??? .
???? ???? ??????? ?? ???? ????? ? ??? ????? 1000 ???? ? ? ????? 500 ???? ??? . ?? ????? ??? ????? 1000000 ???? ??? ??????? ????? ????? ??? ????? ?? ???? ??? ???? ???? ???? ?? ???? ????? .
84. ??? ???? ???? ????????? (??? ???? ???? ????? ) : ?? ???? ??? ??? ????? ??? ????? ?? ???? ???? ???? ????????? (???? ???? ????? ?? ?? ??? ????? ??? ??????? ) ??????? ????? ?? ??? .
???? ???? ??? ?? ??? ??????? ??? ?? ???? ?????? ????? ?? ??? ??? :
85. 3- ??? ???? ??? ????? ???? ?????? : ?? ??? ??? ? ????? ??? ????? ?? ???? ???? ??? ????? ???? ?????? (???? ????? ?? ?? ??? ????? ??? ????? ? ????? ??? ??????? ) ??? ??????? ????? ????? ?? ????.
???? ???? ??? ?? ??? ??????? ???? ?????? ????? (???? ???? ) ?? ??? ??? . ?? ??????? ?? ??? ??????? ? ????? ????? ??? ????? ?? ??? ???? ??? ????? ???? ?????? ?? ????? ??? ????? ??? :
????? ???? ??? ????? ???? ?????? (???? ??? ??? ?????? ) ?????? ?? ??? ??? ????? ??? ????? ????? ?? ??? .
???? ?????? ???? ??? ??? ??????
???? ?? 2000000
??? ?? ??? ?? ???? ???? ??? ????? ???? ???? :
????? ??? ????? 1000000
????? ??? ??????? 500000 1500000
??? ?????? 500000
1 = 500000 = ??? ?????? = ???? ?? ??? ??????
4 2000000 ????
???? ????? ????? ??? ????? ?? ??? ???? ??? ??? ??????
??? ????? ??? ????? ? ??
???? 1000000 1000000 2000000
??? ?????? ?? ????? 25% (250000) (250000) (500000)
???? ???? ??? ????? ???? ???? 750000 750000 1500000
??? ?? ??? ????? ??? ??????? (200000) (300000) (500000)
??? ?? ????? ??? ????? 550000 450000 1000000
86. ? ) ????? ????? ??? ????? ?? ???? ?????? ?????? ? ?? ?? ??? ???? ????? ?? ??? .
1- ??? ?????? : ?? ??? ??? ? ????? ??? ????? ?? ???? ?????? ??????? ????? ??? ??? ???? ????? ?? ??? .
???? ???? ??? ?? ??? ??????? ???? ?????? ??? (???? ????) ?? ??? ??? . ?? ??????? ?? ??? ??????? ? ????? ????? ??? ????? ?? ??? ?????? (??????) ?? ???? ??? ??? :
???? ????? ????? ??? ????? ?? ??? ??????
87. 2- ??? ??????? ???? ???? ??? ?? ???? : ?? ??? ??? ? ?? ????? ????? ??? ????? ?? ?? ?????? ??????? ????? ??? ? ??????? ???? ???? ??? ?? ???? ????? ????? ??? ???? ?? ??? ? ??? ??? ?? ????? ?? ????? ??? ????? ? ?? ???? ???? ??? ????? ????? ???? ??? ????? ??? ?? ??????? ???? ???? ??? ?? ???? ???? ?? ??? .
???? ???? ??? ?? ??? ??????? ???? ?????? ??? (???? ???? ) ?? ??? ??? . ?? ??????? ?? ??? ??????? ? ????? ????? ??? ????? ?? ??? ??????? ???? ???? ??? ?? ???? ?? ???? ??? ??? :
3000 ???? = 2000 ???? ????? + 1000 ???? ????? ???
??????? ???? ???? ??? ?? ???? 3/333 = 3000 ???? ๗ 1000000 ????
???? ???? ??? ????? ??? ?? ??? ????? ??? ????? 333333 = 3/333 ื 1000 ????
???? ???? ??? ????? ? ?? ??? ????? ??? ????? 666667 = 3/333 ื 2000 ????
???????? ????? ????? ??? ????? ?? ??? ??? ?????? ? ??????? ???? ???? ???? ??? ?? ???? ?? ????? ????? ???? ?? ??? .
88. 3- ??? ??????? ????? : ?? ??? ??? ???? ????? ??? ????? ?? ?? ?? ??????? ?????? ?? ??? ????? ?? ??? ??? ????? ??? ????? ??? ??????? ????? ?? ???? .
???? ???? ??? ?? ??? ??????? ??? ?? ???? ?????? ??? ?? ??? ??? . ????? ????? ??????? ??? ? ? ?? ????? 1000 ???? ? 2000 ???? ??? . ????? ??? ????? ???? 1000000 ???? ??? . ????? ???? ???? ??? ???? ????? ??? 3 ???? ? ???? ????? ? 2 ???? ??? . ???? ????? ????? ??? ????? ?? ??? ??????? ????? ?? ????? ??? ??? .
89. ?) ??? ??????? ???? ?????? ?? ?? ???? ???? ????????? ? ??? ????? ????? ??? ????? : ?? ??? ??? ????? ??? ????? ??? ??????? ????? ????? ??? ??? ? ???? ?????? ?? ?? ???? ???? ????????? (???? ???? ????? ??????? ?? ?? ??? ????? ??? ??????? ) ?? ????? ??????? ?? ??? . ??? ??? ?? ??? ???????????? ???????? ???? ????? ??? .
90. ????? ???? ??????? ????
??????? ???? ???????? ????? ?? ?????? ?? ????? ??????? ???? ? ????? ?? ???? ? ?? ???? ???? ????? ?????? ???????? ????? . ????? ???? ???? ?? ??????? ???? ???? ? ?? ?????? ???? ??? ????? ?? ??????? ???? ??? .
???? ????? ???? ??????? ???? ?????? ??????? ???? ???? ?? ?? ???? ???? ?? ?? ?????? ??? ????? ???? :
??? ???? ??? : ??????? ????? ????? ?? ??????? ???? ?????? ??? ???? ? ????? ???? ?? ???? ??????? ???? ?? ??? ?? ????? ??? ?? ???? ???? ??? ? ???? ????? ?? ??? :
???? ???????
???? ?? ????? ??? ?????
????
???? ?? ???? ???? ??? ????? ???? ????
91. ?) ???? ??? : ???? ?? ????? ??? ????? ?? ???? ???? ???? ??? ?? ????? ???? ????? ?? ??? ?? ?? ?? ??? ???? ????? ?? ??? :
??? ???? ????? (???? ????) : ?? ???? ??? ??? ? ???? ???? ??????? ????? ???? ?? ????? ??? ????? ??? ?? ??? ? ?? ???? ?????? ????? ???? ????? ?? ???? .
??? ????? ???? ????? : ?? ???? ??? ??? ? ??? ????? ???? ?? ????? ??? ????? ????? ??? ?????? ?? ??? :
???? ???? ??????? ????? ???? X
??? ?? ??? :
????? ??? ????? ? ???? (X)
??? ???? ?????? ?????? (X)
????? ??? ??????? ????? ???? (X)
??? ????? ???? ?? ????? ??? ????? (X)
92. ?? ????? ????? ??? ???
93. ?? ????? (1-2)
98. ?? ????? (2-2)
104. ?? ????? (5-2)
105. ????? ????? ??? ????? ?? ?? ????? ????? ??? ? ? ? ?
????? ????? ????? ????? ?? ????? ???? ????? ??? ????? (1) = ????? ????? ???? ????? ?? ?? ????? ????
800000 8000000 = 7200000
108. ?? ????? (6-2) ????? ????? ??? ????? ??? ????? ???? ???? ? ??????? ???? ??? ? ???? :
110. ?? ????? (7-2)
112. ?? ????? (8-2)
114. ?? ????? (9-2)
117. ?? ????? (10-2)
118. ?? ????? (11-2) ???? ???? ?? ??? ???? ?? ??? ???? ???? ????? ? ?????? ?????? ????? ? ????? ??? ?? ??? ?? ???? ?? ???? ???? ????????? ??????? ???? ??? ???? ?? ???? ??? ??? ??? ?? ???? ???? ?????? ????? ??? ?? ???? ????? 22000 ???? ???? ?? ?? ????? ? ????? ?? ??? ? ?? ????? ?? ???? ????? ?? ???? 150000 ???? ?????? ?? ???? ?? ????? ?????? ????? ???? ????? ? ??? ?? ???? ????? ????? ???? ???? .
???? ???? ??? ? ????? ???? ????? ??? ?? ?? ???? ??? ????? ????? ??? ??? ??????? ซ?ป ? ซ?ป ????? ???? ??? ?? ???? ?? ??????? ????? ?? ??? ???? ???? ????????? ??????? ??? ??? .
122. ????? ????? ????????? :
????? ????????? ????? ??? ?? ????? ????? ?? ???? ????? ?? ???? ?????? ????????? ???? ? ?????? ? ????? ???? . ???? ??? ????????? ?? ?? ?? ???? ????? ?? ??? :
??? ???????????? ????? . ?? ???? ? ????? ????? ? ?? ??????? ??? ???? ???? ????? ???? ? ????? ??? ????? . ??? ? ???? ???? ???? ???? ????? ?? ???? ????? ? ?? ???? ????????? ???? ????? ?? ???? ????? .
? ???????????? ???? ?? ???? ???? ????? ??? ????? ????? ????? ??? ???? ? ??? ?????? ? ????? . ?? ????? ???? ????????? ?? ????? ??? ???? ? ?????? ? ????? ????????? ???? ???? ???? ??? ????? ??????? ?? ??? ? ?? ???? ?????? ????? ??? ????? ?? ????? ??? ????????? ? ???????? ????? ? ????? ? ????? ?? ??? .
?? ??????? ????? ??? ????? ???? ?? ????? ??? ????????? ???? ?????? ????? ? ? ?? ??? ??? ???? ?????? ??????? ?????? ?? ??? .
123. ???????? ???? ????? :
?????? ?? ???? ????? ? ?????? ??? ????? ????? ? ????????? ???? ???? ??? ??? ?? ?? ????? ????? ? ????? ????? ? ??? ?? ??? ??? ????? ????? ?????? ?? ?? ??? ????? ?? ??? . ?? ????? ??? :
????? ????????? ???? ????? ???? ????? ????? ????? ????? ???? ?????
?????? ?? ???? ?????
?????? ??? ???? ???? ??? ?????? ???? ???? ?????
(??? ????? ???? ??? ????????? ????) ???? ????? ???? ??? = ?????? ??? ???? ???? ???
(???? ????????? ???? ???? ????? ???? ??? ) ??? ????????? ???? = ?????? ???? ????
???? ???? ????? ?????
124. ???????? ?????? ?????? :
?????? ?? ?????? ?????? ? ?????? ??? ????? ????? ? ????????? ?????? ?????? ??? ?? ?? ?? ??? ?? ????? ??? ????? ?? ??? :
????? ????????? ?????? ?????? ???? ????? ????? ????? ????? ?????? ??????
?????? ?? ?????? ??????
?????? ??? ?????? ?????? ?????? ??????
( ??? ????? ?????? ??? ????????? ?????? ) ????? ?????? ????? = ?????? ??? ??????
(????? ????????? ???? ????? ????? ????? ?????? ????? ) ??? ????????? ?????? = ?????? ?????? ??????
125. ???????? ????? ????? :
????? ? ????? ???????? ????? ????? ?? ?? ???? ????? ?? ??? :
??? ?? ??? ????? ????? ??? ????? ????? ? ???? ?? ?? ???? ??????? ????? ????? :
?? ??????? ?????? ??? ????? ????? ?????? ??? ????? ????? ????? ? ??? ??? ????? ??? ?? ?? ????? ??? ???? ????? ??? :
????? ????? ??? ??? ?? ????? ?? ???? ????? ?????? ????????? ????? ????? ?????
?????? ?? ????? ?????
?????? ?????? ????? ????? ?????? ????? ????? ?????
(??? ????????? ????? ????? ื ????? ?????? ?????) ????? ????? ????? = ?????? ????? ????? ?????
(????? ????????? ????? ?????? ????? ) ??? ????????? ????? ????? = ?????? ?????? ????? ?????
???? ????? ?????
126. ?????? ?? ????? ???? ??? ?????? ??? ????? ???? ????? ? ??? ??? ??? ?? ?? ????? ??? ????? ?? ??? :
????? ???? ??? ??? ?? ????? ????? ???? ?????
?????? ?? ????? ????
?????? ??? ?????? ????? ????? ????
????? ???? ????? ??? ????? ???? ????? = ?????? ????? ????? ????
????? ???? ??? ??? ?? ????? ????? ???? ????? ??? = ?????? ???
?? ???? ???? ????????? ???? ????? ?????
?- ?? ??? ???? ????? ????? ? ???? ???? ?? ?? ???? ????? ???? .
127. ?????? ?? ????? ?? ?????? ??? ????? ????? ???? ? ????? ??? ??? ?? ????? ?? ???? ????? ????????? ???? ????? ????? ?????? ?? ??? ??? ????? ?? ??? .
????? ??? ??? ?? ????? ?? ????
????? ????????? ???? ????? ????? ????? ????? ????
??? ?? ??????? ? ?????? ?? ?????
??? ?? ??????? ? ?????? ??? ?????? ???? ?????
??? ?? ??????? ? ?????? ??? ?????? ?????? ?????? ?????
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128. ??? ?? ??????? : ?? ??? ??? ?????? ?? ????? ?? ?? ?????? ???? ????? ?? ??? :
????? ???? ?? ???? ????? ????????? ???? ????? ????? ????? ????? ????? = ?????? ???? ?????
[ ( ??? ????????? ื ????? ????????? ) ????? ???? ????? ??? ] = ????? ???? ?? ???? ????? ?????????
????? ????? ???? ????? ????? ???? ????? ?????
????? ??? ??? ?? ????? ?? ???? ????? ???? ?? ???? ????? ????????? = ?????? ???
????? ????????? ???? ????? ????? ???? ????? ?????
?????? ??? ?? ???? ??? ??? ???? ?????? ??? :
( ????? ????????? ???? ????? ????? ????? ???? ) ??? ????????? ????? ????= ?????? ???
??? ?? ??????? : ?? ??? ??? ? ?????? ???? ????? ?? ?? ?????? ???? ?? ????? ?? ??? ? ?????? ??? ????? ??? ?? ??????? ?????? ?? ???? .
????? ???? ?? ???? ????? ?????? ????? ????? ????? ????? = ?????? ?????
????? ???? ?? ???? ????? ????????? ????? ???? ?? ???? ????? ?????? ????? = ?????? ?????? ???? ????? ?????
?????? ?????? ?? ??? ??? ?? ???? ??? ??? ???? ?????? ??? :
(????? ????????? ???? ????? ????? ????? ?????? ????? ) ??? ????????? ????? ????? = ?????? ??????
129. ??? ???? ??????? : ?? ??? ??? ???????? ??? ? ?????? ????? ??? ?? ??????? ?????? ?? ??? ? ?????? ????? ?? ?? ?????? ????? ????? ????? ? ?????? ????? ????? ???? ????? ?? ??? .
???????? ??? ? ????? ? ????? ???? :
?? ??????? ???? ?????? ??? ?? ?? ??? ???? ????? ?? ????? ??????? ??? ??????? ????? ? ????? ????????? ???? ???? ?? ?? ????? ????? ???????? ???? ????? ??? ? ?????? ????? ? ????? ???? ????? ?? ??? . ?? ??? ????? ?????? ??? ???? ???? ??? ?????? ??? ?? ?? ???? ???? ??? ??? . ??? ?????? ???? ???? ?? ?? ?????? ???? ?? ?? ????? ??? ????? ?? ??? .
???? ????? ???? ?? ??? ????????? ???? ????? ???? ?? ??? ????????? = ?????? ????? ????
????? ????????? ?? ????? ?????
(????? ????????? ?? ???? ?????? ?? ??? ???? ????? ????? ) ??? ??????? ????????? ???? = ?????? ????? ????
?? ???? ?????
130. ???????? ????? ? ????? ?????? :
?? ??????? ???? ?????? ??? ?? ?? ???? ????? ?????? (???? : ???? ? ???? ???? ? ???? ) ???? ????? ????? ??????? ????? ? ????? ????????? ????? ?????? ?? ?? ????? ????? ?????? ???? ???????? . ???????? ????? ? ????? ?????? ????? ?? ??? .
?? ??? ????? ?????? ??? ?????? ???? ??? ?????? ??? ?????? ?? ?? ???? ??? ????? ?????? ??? ? ??? ?????? ?????? ?????? ?? ?? ??? ?????? ????? ?????? ? ?????? ????? ?????? ?? ????? ??? ????? ?? ??? :
????? ?????? ????? ?? ??? ????????? ????? ?????? ???? ?? ??? = ?????? ????? ??????
? ????? ????????? ????????? ? ????? ?????
(????? ???? ?????? ????? ?????) ??? ??????? ????????? ?????? = ?????? ????? ??????
?? ??? ?????? ???? ?? ???? ?????
131. ?? ????? ????? ??? ???
137. ?? ????? (16-3) :
139. ?? ????? 17-3 : ??? ???:
??? ??? ??? ?????ื ????? ????????? ???? ????? ????? = ????? ??? ???
(200 + 400) ื 8000 = 4800000
??? ? :
(????? ????????? ????? ????? ????? ???? ??? ????? ) ??? ????????? ????? ???? = ?????? ???
(8000 10000) 200 = 400000
??? ? :
(????? ??? ????????? ???? ????? ????? ????? ??? ????? ) ??? ????????? = ?????? ?????? ??????
4800000 x 600 = 600000
????? ??? ????? 9000 = x
(????? ????? ื ??? ????????? ????? ????? ) ????? ????? ????? = ?????? ????? ??? ????? ?????
(9000 ื 400) 3230000 = 370000
??? ? :
(????? ????????? ???? ????? ????? ????? ????? ) ??? ????????? ????? ????? = ?????? ?????? ????? ?????
(1000)400= 400000
??? ?? :
????? ???? ????? = ????? ????? ????? ??? ????? ?????
2770000 = 3230000 6000000
??? ? :
????? ????????? ???? ????? ????? = ????? ????? ????? ื ????? ????????? ????? ?? ????
8000 = x ื 2
????? ????? ????? 4000 = x
140. ?? ????? 18-3 :
141. ?? ????? 19-3
143. ???? ซ?ป : ???????? ???? ? ?????? : (??? ????????? ??? ????? ) ???? ????? = ?????? ??? ????
?????? ??? ???? ??????? 110000 = (100-110) 11000
(???? ????????? ???? ????? ????? ???? ?????) ??? ????????? = ?????? ???? ????
?????? ???? ???? ??????? 100000 = ( 1000000 11000) 100
100
?? ?????? ???? ??????? 210000
?????? ?????? :
(??? ????????? ??? ????? ) ????? ??? ????? = ?????? ??? ??????
?????? ??? ?????? ??????? 55750 = (40 1055750) 25000 = ?????? ??? ??????
25000
(????? ??? ????????? ???? ????? ????? ????? ??? ????? ) ??? ????????? = ?????? ?????? ??????
(824000 25000) 40 =
40
?????? ?????? ?????? ??????? 176000 = (20600 25000) 40 =
?? ?????? ?????? ??????? 231750
?) ?????? ???????? ????? ??? ?? ??????? :
????? ??? ??? ?? ????? ????? ???? ?? ???? ???? ????????? ???? ????? ????? ????? ????? ?????
257500=[(2ื5/12)ื10300] 300000 319300
?????? ??? - ??????? 42500 ?????? ????? ??????? 19300
?????? ?? ????? ? ??????? 61800 = 257500 - 319300
144. ?? ????? (20-3) ??? ????????? ????? ???? ื ????? ????????? ???? ????? ????? = ????? ???? ??? ??? ?? ?????
??? 1) 50 ื 45000 = 2250000
????? ????????? ???? ????? ?? ???? ื ????? ????? ????? = ????? ????????? ???? ????? ?????
??? 2) ????? ????? ????? 15000 = x 3 ื x = 45000
?????? ??? ????? ????? ???? ??? ??? = ???? ????? ???? ??? ?????
??? 3) 50000 2250000 = 2200000
??? 4) 44000 = x 50 = 2200000 = ????? ???? ??? ????? = ??? ????????? ????? ????
x ????? ????? ?? ????? ??? ?????
????? ???? ??? ????? ????? ???? ????? = ?????? ????? ????? ????
??? 5) ??????? 200000 = 2200000 2400000 = ?????? ????? ????? ????
145. ??? -6) (150000) = 50000 + (200000) = ?????? ????? ???? + ?????? ????? ???? = ??? ?????? ????? ????
?????? ??? ?? ?????? ?????? ??? ?? ?????? ???
????? ????? ????
? 1) 3600000 = 0 ื45000 = ??? ????????? ????? ????? ื ????? ????????? ???? ????? ????? = ????? ????? ??? ???
? 2) 200000 = 100000 + 100000 = ?????? ?????? ????? ????? + ?????? ????? ????? ????? = ??? ??????
????? ?????
? 4) 100000= (45000 43750)80 = (????? ????????? ????? ?????) ??? ????????? = ?????? ?????? ?????
????? ???? ????? ????? ????? ????? ????? (?????)
(4500 x) 80
(????? ????? ื ??? ????????? ????? ????? ) ????? ????? ????? = ?????? ????? ????? ?????
? 3) 43750 = 3500000 (????? ????? x ื 80) 3400000 = 100000 ?????
80
????? ????? ?????
146. ?? ????? 21-3:
148. ?? ????? 22-3 : ??? ) : 2 ???? ??? .
??? ????? ??? ????????? 21250000 = 2500 ื 8500
??? ????? ??? ????? 24270000
?? ?????? ????? ??? ????? / ??????? 3020000
?) : 1 ???? ??? .
????? ???? ??? ????? ????? ???? ????? = ?????? ????? ????? ????
(1200 ื 30000 ) 3100000 = ?????? ????? ????? ????
12
100000 = 3000000 3100000 = ?????? ????? ?? ??? ???? ???????
?) : 2 ???? ??? .
2700 = 400 + 2300 = ????? ????? ???? + ????? ???? ??? = ?? ????? ??? ??????
?) : 3 ???? ??? .
(??? ????? ??? ????????? ) ????? ????? = ?????? ??? ?????? ????? ????
0 = (4000 4000 ) 2300 = ?????? ??? ?????? ????? ????
??????? 800000 = (6000 4000 ) 400 = ?????? ??? ?????? ????? ????
149. ?? ) : 1 ???? ??? .
[(????? ????????? ???? ????? ????? ื ??? ????????? ????? ????? )+ ????? ????? ???? ????? ?? ] ????? ????? ????? = ?????? ???? ?????
(????? ????????? ????? ????? ื ??? ????????? ????? ?????) ????? ????? ????? = ?????? ???? ????? ???? ????? ?????
[ ( 3/0 ื 8500) ื 1600 ] 5200000 = 1120000 ???????
?) : 1 ???? ??? .
( ??? ????????? ??? ????? ) ????? ???? ??????? ??? = ?????? ??? ???? ??????? ???
??????? 144000 = (400 480) 1800 = ?????? ??? ?????????
??????? 360000 = (380 500) 3000 = ?????? ??? ??????? ???? ??
????? 540000 = (380 290) 6000 = ?????? ??? ??????? ???? ?????
?? ?????? ??? ???? ????? 36000
150. ?? ????? 23-3 : ???? 1)
(??? ????????? ??? ????? ) ????? ??????? ??? = ?????? ??? ????
??????? 160000 = (210 220 ) 16000 = ?????? ??? ???? ???
??????? 290000 = (260 280) 14500 = ?????? ??? ???? ?
????? 210000 = (200 190) 21000 = ?????? ??? ???? ?
??????? 38000 = (240 250) 3800 = ?????? ??? ???? ?
??????? 40000 = (300 310) 4000 = ?????? ??? ???? ??
??????? 318000 ??? ?????? ??? ????
???? 2)
?????? ????? ???? :
???? ???? ????? ???? ?? ??? ???? ???? ????? ???? ?? ??? ????????? = ?????? ????? ????
????????? ? ????? ????????? ? ????? ?????
3931200 3924000 = 7200 ?????
151. ???? 3 )???? ???? ????? ???? ?? ??? ????????? ? ????? ?????
153. ?? ????? 24-3 :
154. ???? 2) ?????? ?????? ??? ? ???? ???? ???? ????? :
( ??? ????????? ??? ?????) ???? ????? = ?????? ??? / ???? ???? ?????
??????? 2000000 = (500 540) 50000 = ?????? ??? / ???? ???? ?????
(???? ????????? ???? ????? ????? ???? ????? ) ??? ????????? = ?????? ???? ????
??????? 3400000 = [(4ื10800) 50000] 500 = ?????? ???? ????
?????? ?? ???? ??????? 5400000
(??? ????????? ??? ?????) ????? ????? = ?????? ??? ??????
????? 440000 = (800 780) 22000 = ?????? ??? ??????
(????? ????????? ???? ????? ????? ????? ?????) ??? ????????? = ?????? ?????? ??????
??????? 320000 = [ (2ื10800) 22000] 800 = ?????? ?????? ??????
?????? ?? ?????? ????? 120000
156. ?? ????? 25-3 :
157. ???? 2)
(??? ????????? ??? ????? ) ???? ????? = ?????? ??? ????
? 3000 = (210 190) 150 = ?????? ??? ??? ?? ??? ?????? ??? ????
? 14000 = (210 200) 1400 = ?????? ??? ??? ?? ??? ???? ?? ????
? 17000
? 2000 = (280 260) 100 = ?????? ??? ? ?? ??? ?????? ??? ????
? 22200 = (280 250) 740 = ?????? ??? ? ?? ??? ???? ?? ????
? 24200
158. ? 1200 = (110 100) 120 = ?????? ??? ? ?? ??? ?????? ??? ????
? 11800 = (110 100) 1180 = ?????? ??? ? ?? ??? ???? ?? ????
? 13000
? 250 = (145 140) 50 = ?????? ??? ? ?? ??? ?????? ??? ????
? 1800 = (145 150) 360 = ?????? ??? ? ?? ??? ???? ?? ????
? 1550
????? ?????? ??? ???? ????? 52650
???? 3)
???? ???? ????? ???? ?? ??? ????????? ? ????? ????????? ???? ???? ????? ???? ?? ??? ????????? ? ????? ????? = ?????? ????? ????
768750 763150 = 5600 ?????
159. ??????? ?????????? ??? ?? ???? ื (????? ???? ?????? ????? ?????) = ?????? ????? ????
(85% ๗ 5/187) ื [(85% ๗ 4100) 3450] = ?????? ????? ????
6/220 ื (3485 3450) = 7721 ???????
160. ?? ????? 26-3 ( ??? ????????? - ??? ????? ) ???? ????? = ?????? ??? ???? ?????
? 89000 = (600 650) 1780 = ?????? ??? ???? ????? ???
? 32800 = (500 520 ) 820 = ?????? ??? ???? ????? ?
? 11250 = (200 190) 1125 = ?????? ??? ???? ????? ?
?? ?????? ??? ???? ??????? 110550
= ?????? ????? ???? ?????
???? ???? ????? ???? ?? ??? ????????? ? ????? ????????? ???? ???? ????? ???? ?? ??? ????????? ? ????? ?????
161. ????? 10500 = 1713500 1703000 = ?????? ????? ???? ?????
????? ???? ????????? ื (????? ???? ?????? ????? ????? ) = ?????? ????? ????
?? ???? ????? ?? ??? ????
575 ื (2980 3300 ) = 184000 ?????
575 = 690000 = ????? ???? ????????? ?? ???? ?? ??? ????
1200
2980 = 1200 ื 3725 = ?????? ????? ???? ??????
1500
165. ?? ????? 27-3 : ??? )
?????? ???????? ???? ????? :
(??? ????????? ??? ????? ) ???? ????? = ?????? ??? ???? ?????
??????? 28500 = (135 138) 9500 = ?????? ??? ???? ?????
(???? ????????? ???? ????? ????? ???? ????? ) ??? ????????? = ?????? ???? ????
????? 67500 = [ (20ื500) 9500 ] 135 = ?????? ???? ????
?????? ?? ????? 39000
?) ?????? ???????? ?????? :
(??? ????????? ??? ????? ) ????? ????? = ?????? ??? ??????
??????? 31500 = (900 915 ) 2100 = ?????? ??? ??????
(????? ????????? ???? ????? ????? ????? ????? ) ??? ????????? = ?????? ?????? ??????
??????? 90000 = [(4 ื 500 ) 2100] 900 = ?????? ?????? ??????
?????? ?? ??????? 121500
166. ?)
?????? ???????? ????? 6
[(????? ?????ื??? ????????? ????? ?????) + ????? ????? ???? ????? ?? ] ????? ????? ????? = ?????? ????? ?????
??????? 15000 =[(2100 ื 500) + 600000] 1665000 = ?????? ????? ?????
750 = 5 ื 900 = ??? ??? ????? ???? ????????? ???? ?? ????
6
1800000= 2400 ื 750= ????? ????? ???? ื ??? ??? ????? ????????? ???? ?? ???? = ?? ????? ???? ??????????
600000 = 1 ื 1800000 = ????? ???? ??? ????? ??
3
??? ????????? ????? ????? 500 = 2400๗ 1200000 ????? ????? ??? ????? 1200000 = 600000 1800000
(????? ????????? ???? ????? ????? ????? ????? ) ??? ????????? ????? ????? = ?????? ?????? ????? ?????
??????? 50000 = [ ( 4ื500) 2100 ] 500 = ?????? ?????? ????? ?????
(????? ????????? ???? ????? ????? ????? ???? ??? ????? ) ??? ????????? ????? ???? = ?????? ???
??????? 100000 = (2000 24000) (500 750) = ?????? ???
167. ?? ????? 28-3 : ????? ????????? ???? ????? ?? ???? ื ????? ????? ????? = ????? ????????? ???? ????? ????? (1)
4 ื 18000 = 72000
???? ????????? ???? ????? ?? ???? ื ?? ????? ????? ????? ???? = ????? ????????? ???? ????? ????? ???? (2)
25/2 ื 18000 = 40500
( ??? ????????? ??? ????? ) ???? ????? = ?????? ??? ???? ?????
??????? 393000 = (300 19530000) 39300 = ?????? ??? ???? ????? ???? ????
63000
????? 108000 = (25-23) 54000 = ?????? ??? ???? ????? ???? ???
(???? ????????? ???? ????? ????? ???? ????? ) ??? ????????? = ?????? ???? ???? ????? (1/3)
????? 360000 = [(5/2 ื 18000) 39300] 300 = ?????? ???? ???? ????? ???? ????
= [(3ื18000) 54000] 25 = ?????? ???? ???? ????? ???? ???
(??? ????????? ??? ????? ) ????? ????? = ?????? ??? ?????? (4)
??????? 200000 = (140 10000000) 70000 = ?????? ??? ??????
70000
168. [(????? ????????? ???? ????? ????? ) ????? ????? ] ??? ????????? = ?????? ?????? ?????? (1/4)
????? 280000 = [(4ื18000) 70000] 140 = ?????? ?????? ??????
= ?????? ???? ????? (5)
????? ??? ????? ????? [(????? ????????? ???? ????? ????? ื ??? ????????? ????? ????? ) + ????? ??? ????? ???? ??? ?????]
??????? 573333 = 15600000 [(72000 ื 130) + 170 ื 4ื100000 ] =
12
(????? ????????? ???? ????? ????? ????? ???? ??? ?????) ??? ????????? ????? ???? = ?????? ???
????? 6573390=[(4ื18000) 4ื100000] 170 = ?????? ???
12
??? ??? :
????? ???? ????? ?? ?? ???? ????? ????????? ???? ????? ????? ????? ???? ????? ?? = ?????? ???
(170 ื 4ื18000) (170ื4ื100000) = ?????? ???
12
6573333 = 12240000 5666667 = ?????? ???
169. ??? ????? ซ???????? ????? ???? ????????? ป
??? ??? ??????? ?????? ?? :
??? ??? ????? ????? ???? ?????????.
?????? ????? ???????? ???? ????? .
?????? ????? ???? ??????? ???????? .
170. ????? ???? ????????? ????? ??? ?? ??????? ?? ????? ??? ????????? ?? ????? ???? ???? ??? ????? ????? ??? . ?? ??? ???? ???? ????? ?? ?? ?????? ???? ????? ?? ???? ???? ??? ????? ???? ???? ???? ????? ???? ?? ???? .
??? ??? ??????? ???? ????? ???? ????????? ???? ???? ?? ??????? ?? :
??? ??? ???? (??? ?????)
?? ??? ??? ? ???? ????? ?? ????? ???? ?? ????? ??? ????????? ?????? ? ? ?? ????? ??? ????????? ???????? ?? ??? :
171. ?- ??? ???? :?? ??? ??? ? ???? ????? ?? ????? ???? ?? ????? ??? ????? ?????? ? ?? ????? ??? ????????? ???????? ?? ??? :
173. ??????? ???? ????? :
???? ?????? ? ??? ???????? ???? ????? ?? ??? ???? ???? :
??? ?????? ??? ???? ????? ???? ???? ????? ?????? ? ??? ?? ??? . ?? ????? ???? ???? ????? ?? ??? ????????? ? ??????? ?? ??? ? ? ?????? ????? ??? ????? ???? ?????? ? ??? ?? ???? .
? ???? ???? ????? ?? ???? ????? ??????? ?? ??? ? ?????? ??? ? ???? ???? ????? ???? ???? ?????? ? ?? ?????? ??? ?? ??? .
? ?????? ??? ???? ??????? ??? ????? ???? ???? ????? ?????? ? ??? ?? ??? .
?? ????? ???? ???? ????? ?? ???? ????????? ??????? ?? ??? . ????? ???? ???? ????? ? ?????? ??? ???? ???? ??? ?????? ?? ??? ? ?? ???? ?????? ??? ???? ??????? ??? ???? ?? ???? . ?????? ????? ??? ????? ???? ???? ?????? ? ??? ?? ??? .
???? ??????? ????????
?? ????? ??? ???? ?? ????? ???? ????? ??? ???? ? ??????? ???????? ???? ?? ???? ???? ???? ??????? ???????? ?? ??? ?? ?????? ??? ??? ?? ??? :
1- ???? ???????? ?? ???? ??? ? ???? .
2- ???? ???????? ?? ???? ???? ???? ??? ????? ???? ???? .
3- ????? ???????? ??? ?? ???? ?????? ????? ?? ????? ???? ? ?????? ????? ????? ??? ? ???? ???? ??? ????? ???? ???? .
175.
???? 1 )
(??? ????? ??? ????????? ) ???? ????? = ?????? ??? ???? ?????
??????? 15400 = ( 631400 - 400) 1540 = ?????? ??? ???? ?????
1540
(???? ????????? ???? ????? ????? ???? ?????) ??? ????????? = ?????? ???? ????
??????? 16000 = [(3 ื 500) 1520] 400 = ?????? ???? ????
?????? ?? ???? ??????? 31400
???? 2 ) ??????????????????????
(??? ????????? ??? ????? ) ????? ????? = ?????? ??? ??????
????? 51000 = (300 1479000 ) 5100 = ?????? ??? ??????
5100
(????? ?? ???? ????? ????? ????? ????? ) ??? ????????? = ?????? ?????? ??????
??????? 30000 = [ (10 ื 500) 5100 ] 300 = ?????? ?????? ??????
?????? ?? ?????? ????? 21000 ?? ????? 1-4 (???? 235 ) :
176. ???? 3 ) -------------------
???????? ????? ?? ??? ?? ??????? :
????? ??? ????? ????? [(????? ????????? ???? ????? ????? ื ??? ????????? ????? ?????) + ????? ??? ????? ???? ????? ?? ] = ?????? ???? ?????
??????? 66000 = 1276000 - ](10ื500)+460000] = ?????? ???? ?????
??? ??? ????? ???? ???? ?? ???? 1000 = 460000 : ?????? ??? ????????? ????? ?????
200๗ 92000
??? ??? ????? ????? ???? ?? ???? 1500 = 1000 2500 ?? ??? ??? ????? ???? ?? ????
(????? ????????? ???? ????? ????? ????? ???? ??? ?????) ??? ????????? ????? ???? = ?????? ???
????? 4000 = [(10ื500) 4600] 1000 = ?????? ???
10
????? ????????? ????? 4600 = 100๗ 46000 : ??? ??? : ?????? ????? ????????? ?????
????? ????????? ????? 4600 = 10ื(200 1 92000) : ??? ???
??????? 26000 = 40000 + (66000) = ?????? ?? ?????
177. ??? ???? ??????? ??? ?? ???????
?) ??? ?? ????? ???? 600000 (400ื3ื500)
?????? ??? ???? 15400
?????? ???? ???? 16000
?????? ???? ????? 631400 ( 410ื1540)
2) ????? ?? ????? ???? 1500000 ( 10ื300ื500)
?????? ?????? ?????? 30000
?????? ??? ?????? 51000
????? ??? ?????? 1479000
3) ????? ??? ????? 1276000
??????? ????? 1276000
4) ???? ??? ?? ????? ???? 1250000 (2500 ื 500)
?????? ???? ????? 66000
?????? ??? 40000
????? ??? ????? 1276000
178. ?????? ???????? ??? ?? ??????? :
[????? ????? ื ??? ????????? ????? ????? ) + ????? ????? ???? ????? ?? ] ????? ??? ????? ????? = ?????? ????? ?????
??????? 51000 = [ 5100 ื 150) + 460000 ] 1276000 = ?????? ????? ?????
(????? ????????? ???? ????? ????? ????? ????? ) ??? ????????? ????? ????? = ?????? ?????? ????? ?????
??????? 15000 = ((10ื500) 5100) 150 = ?????? ?????? ????? ?????
???? 4) ????? 40000 = ?????? ???
??? ???? ??????? ?? ??? ?? ??????? :
??? ??? ????? ?? ???? ? ??????
???? ????? ??? 2 ??????? ??? ? ?????? ????? ?? ??? ????? ?? ???? :
1) ????? ??? ????? 1276000
??????? ????? 1276000 ????? ??? ????? 1276000
2) ????? ?? ????? ???? 1250000 (2500 ื 500)
?????? ????? ????? 000/51
?????? ?????? ????? 000/15
?????? ??? 000/40
????? ??? ????? 1276000
179. ?? ????? (2-4) ??????? 311200 = (40 42) 155600 = ?????? ??? ????
????? 5808000 = ((16ื18800) 155600) 40 = ?????? ???? ????
??????? 384000 = (440 450) 38400 = ?????? ??? ??????
??????? 352000 = ((2 ื 18800) 38400) 440 = ?????? ?????? ??????
????? 44000 = [( 38400 ื 3060000 ) + 1260000][(1190000 + 3290000)] = ?????? ?????
36000
??????? 68000 = (2ื 18800) 38400) 85 = ?????? ?????? ????? ?????
????? 56000 = (37600- 36000) 1260000 = ?????? ???
36000
??? ??? ???? ??????? ??? ???? :
1) ?????? ???? ????? 7560000 (42ื180000)
??????? ???????? 7560000
2) ????? ??? ?????? 17280000 ( 450 ื 38400)
?????? ???????? 17280000
3) ??? ?? ????? ???? 1728000
????? ??? ?????? 1728000
180. 4) ??? ?? ????? ???? 6535200 (42 ื 155600)
?????? ???? ????? 6535200
5) ????? ??? ????? 4480000
??????? ????? 4480000
6) ??? ?? ????? ???? 4608000 (35 + 85) ื 38400
????? ??? ????? 4608000
7) ?????? ????? ????? ??? 33088000
??? ??????? ???? 33088000 (1760 ื 18800)
8) ????? ??? ????? 128000 ( 4608000 4480000)
??? ?? ????? ???? 128000
???? ???? ????? ????? ??? ???
9) ?????? ??? ???? 311200
??? ?? ????? ???? 5496800
?????? ???? ???? 5808000
10) ?????? ??? ?????? 384000
?????? ?????? ?????? 352000
??? ?? ????? ???? 736000
11) ??? ?? ????? ???? 32000
?????? ?????? ????? 68000
?????? ????? 44000
?????? ??? 56000
181. ?? ????? (3-4) ??????? 189000 = (500 2439000) 4500 = ?????? ??? ????
4500
??????? 7500 = ( 3ื1450) 4500) 500 = ?????? ???? ????
??????? 120000 = (250 3120000) 12000 = ?????? ??? ??????
12000
100000 = ( 8ื1450) 12000) 250= ?????? ?????? ??????
170 = 1955000 = ??? ????? ???? ????
11500
????? 215000 = [(12000 ื 180) + 1955000] (1920000 + 1980000) = ?????? ?????
????? 17000 = (( 8ื 1450) ื 11500 ) 170= ?????? ???
??????? 72000 = (11600 12000) 180 = ?????? ??????
182. ??? ???? ??????? ??? ?????
1) ??? ?? ????? ???? 2175000 (500ื3ื1450)
?????? ??? ???? 189000
?????? ???? ???? 75000
?????? ???? ????? 2439000
2) ????? ??? ?????? 3120000
?????? ???????? 3120000
3) ??? ?? ????? ???? 2900000(250ื 8 ื1450)
?????? ??? ?????? 120000
?????? ?????? ?????? 100000
????? ??? ?????? 3120000
4) ????? ??? ????? 3900000
??????? ????? 3900000
5) ??? ?? ????? ???? 4060000 ( 350 ื 8 ื 1450)
????? ??? ????? 4060000
6) ????? ??? ????? 160000
?????? ?????? 72000
?????? ????? 215000
?????? ??? 17000
183. ?? ????? (4-4) 5/14 = 6887500 = ??? ????? ?????? ??????
475000
400000 = 6000000 = ????? ????????? ???? ???? ????? ?????
15
5/9= 4750000 = 2250000 2500000 = ??? ??? ????? ?????????
500000 500000
??? ??? ????? 5/9
??? ??? ????? ????? 5/4
??? ??? ????? ???? 5
184. ?????? ???????? ??? ?? ???????
????? 37500 = [ ( 475000 ื 5/4) + 2500000 ] 4600000 = ?????? ?????
??????? 337500 = (( 6000000) 475000 ) 5/4 = ?????? ??????
15
??????? 500000 = ( 400000 500000 ) 5 = ?????? ???
??? ???? ??????? ??? ?? ??????? :
????? ??? ????? 4600000
??????? ????? 4600000
??? ?? ????? ???? 3800000 (5/9 ื 4000000)
????? ??? ????? 3800000
?????? ?????? 337500
?????? ??? 500000
?????? ????? 37500
????? ??? ????? 800000
185. ?? ????? (5-4) 40 = 500000 = ??? ??? ????? ????
12500
72 = 900000 = ??? ??? ??????????
12500
112 = 72 + 40 = ??? ??? ??? ?????
- ?????? ???????? ????? ??? ?? ??????? :
??????? 155900 = ( 890000 + 507500) [(10300 ื72) + 500000] = ?????? ???? ?????
??????? 88000 = (10300 12500) 40 = ?????? ???
??? ?? ???????
??????? 227900 = [(9300 ื 72) + 500000 ] 1397500 = ?????? ?????
????? 72000 = ( 10300 9300) 72 = ?????? ??????
??????? 88000 = ?????? ???
??? ??? ???? ??????? ??? ?? ??????? :
????? ??? ????? 1397500
??????? ????? 1397500
??? ?? ????? ???? 153600 (112 ื 10300)
????? ??? ????? 1153600
?????? ????? 227900
?????? ??? 88000
?????? ?????? 72000
????? ??? ????? 243900
186. ?? ????? (6-4) ????? 8832000 = (169 108928000) 736000 = ?????? ??? ??????
736000
9760000 = ( 108000000 736000) 160 = ?????? ?????? ??????
16
?????? ???????? ????? _ ??? ?? ??????? :
????? 3062500 = 65000000 [ ( 675000 ื 25200000) + 46800000]= ?????? ???? ?????
800000
??????? 7312500 = (675000 800000) 46800000 = ?????? ???
800000
???????? ????? ??? ?? ??????? :
????? 4984000 = [ ( 736000 ื 5/31) + 46800000 ] 65000000 = ?????? ?????
??????? 1921500 = ( 675000 736000) 5.31 = ?????? ??????
??????? 7312500 = ?????? ???
???????? ????? ??? ???? ??????? :
??????? 1921500 = ?????? ??????
??????? 7312500 = ?????? ???
(????? ????? ื ??? ????????? ????? ?????) ????? ????? ????? = ????? ????? ????? ?????
??????? 3316000 = ( 736000 ื5/31) 26500000 = ?????? ????? ????? ????? : ?????? ?????
????? ???? ????? ?? ????? ???? ????? = ?????? ????? ????? ????
????? 8300000 = 46800000 ( 26500000 65000000) = ?????? ????? ????? ????
187. ?? ????? (7-4) ????? 120000 = (1000 988) 10000 = ?????? ??? ???? ??????? ???
??????? 100000 = (7000 7100) 1000 = ?????? ???? ????
??????? 150400 = (800 840) 3760 = ?????? ??? ??????
??????? 464000 = ( 3180 3760) 800 = ?????? ?????? ??????
????? 85200 = (1000 988 ) 7100 = ?????? ??? ???? ???? ???
???????? ????? ??? ?? ??????? :
??????? 412560 = [(3760 ื 992000 ) + 1320000] 2198800 = ?????? ?????
8000
??????? 71920 = ( 3180 3760) 124 = ?????? ?????? ?????
??????? 795300 = (3180 8000) 1320000 = ?????? ???
8000
???????? ????? ??? ?? ??????? :
??????? 484480 = 2198800 [( 3180 ื 124) 1320000 ] = ?????? ???? ?????
??????? 795300 = ?????? ???
188. ??? ???? ??????? ??? ?? ???????
?????? ???? ????? 10000000 = (1000 ื 10000)
?????? ??? ???? 120000 (1000 988) 10000
??????? ???????? 9880000
???? ??? ?? ????? 7000000 ( 1000 ื 7000)
?????? ???? ???? 100000
?????? ???? ????? 7100000 (1000 ื 7100)
?????? ??? ???? ( ??????? ??? ) 85200
?????? ??? ???? ( ???? ???) 85200 ( 1000 988) 7100
???? ??? ?? ????? ???? 2544000( 800 ื 3180)
?????? ??? ?????? 150400
?????? ?????? 464000
?????? ???????? 3158400 ( 840 ื 3760)
????? ??? ????? 2198800
??????? ????? 2198800
???? ??? ?? ????? 919020 ( 289 ื 3180)
????? ??? ????? 919020
?????? ???? ????? 484480
?????? ??? 795300
????? ??? ????? 1279780
189. ??? ???? ??????? ??? ?? ???????
?????? ???? ????? 10000000 ( 1000 ื 10000)
?????? ??? ???? 120000 (1000 988) 10000
??????? ???????? 9880000
???? ??? ?? ????? 7000000 ( 1000 ื 7000)
?????? ???? ???? 100000
?????? ???? ????? 7100000 ( 1000 ื 7100)
?????? ??? ???? ( ??????? ??? ) 85200
?????? ??? ???? ( ???? ??? ) 85200 ( 1000 988) 7100
???? ??? ?? ????? ???? 2544000 ( 800 ๗ 3180)
?????? ??? ?????? 150400
?????? ?????? 464000
?????? ???????? 3158400 ( 840 ื 3760)
????? ??? ????? 2198800
??????? ????? 2198800
???? ??? ?? ????? 919020 ( 165 + 124) 3180
????? ??? ????? 919020
?????? ?????? ????? 71920
?????? ??? 795300
?????? ????? 412560
????? ??? ????? 1279780
190. ?? ????? (8-4) ????? 9000000 = (300 250) 180000 = ?????? ??? ???? ????? ??????? ???
????? 840000 = (( 15 ื 10000 ) 147200) 300 = ?????? ???? ????
????? 7360000 = (300 250 ) 147200 = ?????? ??? ???? ????? ???? ???
??????? 4500000 = (2400 2500) 45000 = ?????? ??? ??????
??????? 12000000 = ( 40000 45000) 2400 = ?????? ?????? ??????
?????? ???????? ????? _ ??? ?? ??????? :
( 37500000 + 12000000 [ ( 40000 ื 32000000 ) + 12800000] = ?????? ???? ?????
4 ื 8000
????? 3200000 = [ 40000 ( 4ื 8000)] 12800000 = ?????? ??? = 3300000 ?????
4 ื 8000
???????? ?? ??? ?? ??????? :
????? 8300000 = (( 45000 ื 1000) + 12800000 ) 4950000 = ?????? ?????
??????? 500000 = ( 40000 45000 ) 1000 = ?????? ??????
????? 3200000 = ?????? ???
191. ???????? ?? ??? ???? ??????? :
??????? 5000000 = ?????? ??????
????? 3200000 = ?????? ???
????? ???? ????? ?? ????? ???? ????? = ?????? ????? ????? ????
????? 800000 = 12800000 12000000 = ?????? ????? ????? ????
(????? ????? ื ??? ?? ????? ?????) ????? ????? ????? = ?????? ????? ????? ?????
????? 7500000 = (45000 ื 1000) 37500000 =
?? ?????? ????? 8300000
??? ??? ???? ? ??????
?????? ???? ????? 54000000 ( 300 ื 180000)
?????? ??? ???? ??????? ??? 9000000
??????? ???????? 45000000
??? ?? ????? ???? 45000000 ( 300 ื 15 ื 10000)
?????? ???? ???? 840000
?????? ???? ????? 44160000 ( 300 ื 147200)
?????? ??? ???? ??????? ??? 7360000
?????? ??? ???? ???? ??? 7360000
??? ?? ????? ???? 9600000
?????? ??? ?????? 4500000
?????? ?????? ?????? 12000000
???? ???????? 112500000 ( 2500 ื 45000)
193. ?? ????? (9-4) = ?????? ????? ???? ?????
???? ???? ????? ???? ?? ??? ????????? ? ????? ????????? ???? ???? ????? ???? ????? ?? ??? ????????? ? ????? ?????
194. ??????? 2000 = 122000 124000 = ?????? ????? ???? ?????
????? ???? ????????? ?? ???? ???? ????? ื (????? ???? ?????? ????? ????? ) = ?????? ????? ???? ?????
240 = ( 500 ๗ 120000) - 3/508 = 500 ื 610 = ????? ???? ??????
600
????? 400 = 240 ื ( - 3/508 510) = ?????? ????? ???? ?????
????? ???? ????????? ???? ?? ???? ?????? ื (????? ???? ?????? ????? ?????)
8/40 = 40 ???? ื 510 ???? ????? = ????? ???? ??????
500
??????? 2520 = 600 ื ( 8/40 45) = ?????? ????? ??????
????? ????????? ??? ????? ???? ?? ???? ื ( ????? ???? ?????? ????? ????? ????? ????? )
300 ื ( 8/40 45) 1260 ???????
195. ??? ??? ???? ??????? :
??? ?? ????? ???? 122400
?????? ????? ???? ????? 2000
?????? ????? ???? ????? 400
?????? ???? ????? 124000
???? ??? ?? ????? 24480 ( 600 ื 8/40)
?????? ????? ?????? 2520
?????? ??? ?????? 450
????? ???? ? ?????? 27450 ( 610 ื 45)
??? ?? ????? ???? 12240 ( 300 ื 8/40)
?????? ????? ????? 1260
????? ??? ????? 13500
20400 = 100 ื (204 = 200 ???? ื 510 ???? ) = ???? ????????? ???? ???? ???? ????? ?????
500
102000 = 250 ื (408 = 400 ???? ื 510 ????) = ???? ????????? ???? ??? ???? ????? ?????
500
122400
??? ????????? ???? ?????
(19000 = 100 ื 190 ????)
(105000 = 250 ื 420 ???)
124000
??????? 450 = ( 600 610 ) 45 = ?????? ??? ??????
196. ?? ????? (10-4) ??? ???? ??????? ???? ????????
????? ???? ??? ? ???? 9200
?????? ??? ???? 2800
?????? ?????? ?????? 1600
?????? ??? 2800
?????? ???? ????? 2000
???? ????????????????????????
???????? ??? ? ???? ???? ???? ????? ?? 29/12/1370
???? ???? 93000
???? ???? ??? ????? ???? ???? ????????? 36000
????? ?? ??? : ???????? ??????? 4800
???? ???? ??? ????? ???? ???? ????? (40800)
??? ?????? 52200
197. ?? ????? (11-4) ???? ?????? ????????????????????
???? ??? ? ???? ?????????
???? ?? ???? ????? 1373
???? ????????? (2700 ื 3650) 9855000
???? ???? ??? ????? ???? ???? ?????????? :
???? ?????? ( 90ื4ื3650) 1314000
?????? ?????? (150 ื 5 ื 3650) 2737500
????? :
???? ( 60 ื 5ื 3650) 1095000
????? ( 78ื 5 ื 3650) 1423500
(6570000)
??? ?????? ????????? 3285000
1 33% = ??? ?????? ?????????
3 ???? ?????????
???? ???? ??? ???? = ??? 1
???? ????
2 66% = 1 33% - 100%
3 3
??? ?????? ????????? 3285000 = 6570000 ื 3/1 33%
3/2 66%
198. ???? ????????? 9855000 = 3285000 + 6570000
??????? 24014 = ( 90 1555200) (800 17000) = ?????? ??? ???? ?????
17000
??????? 36000 = (( 4 ื 3950 ) - 16200) 90 = ?????? ???? ????
??? ??? ???? ???????
???? ????? 1555200
??????? ???????? 1555200
??? ?? ????? ???? 1422000 ( 90 ื 4 ื 3950)
?????? ??? ???? ????? 24014
?????? ???? ???? 36000
???? ????? 1482014 ( 1555200 ื 16200)
1700
????? ?????? 3322800
?????? ???????? 3322800
??? ?? ????? ???? 2872500 ( 150 ื 5ื 3830)
?????? ??? ?????? 126900
?????? ?????? ?????? 300000
????? ??? ??? ???? ?? ????? 23400 (156 ื 150)
????? ?????? 3322800
????? ??? ????? 2712000 ( 1536000 + 1176000)
??????? ????? 2712000
199. ??? ?? ????? ???? 2642700 ( 138 ื 5 ื 3830)
?????? ???? ????? 18300
?????? ??? 51000
????? ??? ????? 2712000
????? ????? ??? 6840000 ( 1800 ื 3800)
???? ??? ?? ????? ???? 6840000
???? 9885000
???? 9885000
???? ???? ??? ????? ???? ???? 6570000 ( 1800 ื 3650)
????? ????? ??? 6570000
????? ???? ????? ??? :
???? ?????
??? ?? ????? ??? - -
?????? ? ??????? ?? ???? 3800 3800
??? ?? ????? ??? 150 30
??? 3950 3830
200. ??????? 126900 = (150 3322800) ( 150 21300) = ?????? ??? ??????
??????? 300000 = [( 5 ื 3830) 21150] 150+ ?????? ?????? ??????
??????? 18300 = 271200 [(3830 ื 390) + ( 4000 ื 300)] = ?????? ???? ?????
??????? 51000 = [( 5 ื 3830) (5 ื 4000)] 60 = ?????? ???
203. ?? ????? (12-4) (??? ?????????ื ???? ?????) - (??? ?????ื ???? ?????) = ?????? ??? ???? ????? ???? ???
????? 58500 = (150 ื 4980) 688500 = ?????? ??? ???? ????? ???? ???
????? ????? ????? ?? 5000 = ๗ 500 ๗ 2500000
??? ????????? ???? ???? ?? ???? ????? ?????? 150 = 5000 ๗ 750000
(???? ????????? ???? ????? ????? ื ??? ?????????) ( ???? ????? ื ??? ????????? ) = ?????? ???? ???? ?????
??????? 12000 = (4900 ื 150 ) ( 4980 ื 150) = ?????? ???? ???? ?????
??????? 49500 = (( 2 ๗ 750000 ) 792000 ) 9900 = ?????? ??? ??????
5000 9900
??????? 7500 = ((2 ื 4900 ) 9900) 75 = ?????? ?????? ??????
???????? ????? ??? ?? ??????? :
????? 87503 ( 288997 + 119500) (( 4900 ื 40) + 300000) = ?????? ???? ?????
3503 = 120 ื ((120 + 9900) ๗ 292500)
????? ???? ?????? 288997 = 3503 292500
??????? 6000 = ( 4900 5000) 300000 = ?????? ???
5000
40 = 200000 = ??? ????????? ????? ????? ?? ????
5000
204. ??? ???? ???????
1) ???? ??? ?? ????? 735000 ( 4900 ื 150)
?????? ???? ???? 12000
?????? ??? ???? 58800
?????? ???? ????? 688500
2) ???? ??? ?? ????? 735000 ( 4900 ื 150)
?????? ??? ?????? 49500
?????? ?????? ?????? 7500
?????? ???????? 792000
3) ????? ??? ????? 412000
??????? ????? 412000
4) ???? ??? ?? ????? 490000 = (4900 ื 300000 + 200000)
5000
????? ??? ??? ???? ?? ????? 3503
?????? ??? 6000
?????? ???? ????? 87503
????? ??? ????? 412000
3503 = 120 ื (( 120 + 9900) ๗ 292500) : ????? ??? ??? ???? ?? ?????
80 = 4900 4980 = ?????? ????
206. ?? ????? (13-4) ??????? 15000 = (56 50) 2500 = ?????? ??? ???? ??????? ???
????? 5000 = (1900 2000) 50 = ?????? ???? ????
????? 2200 = (22 24) 1100 = ?????? ??? ??????
????? 2400 = (1100 1200) 24 = ?????? ?????? ??????
??????? 3560 = (( 14000 ื 1100 ) + 28000 ) ( 29800 + 12760) = ?????? ?????
1400
????? 1000 = 10 (1200 1100 ) = ?????? ?????? ?????
10 = 1400 ๗ 14000 = ??? ????????? ????? ?????
??????? 4000 = 20 (1200 1400 ) = ?????? ???
20 = 1400 ๗ 28000 = ??? ????????? ????? ????
207. ??? ?? ???? ??????? :
1) ???? 125000
?????? ??? ???? ??????? ??? 15000
??????? ???????? 140000
2) ????? ?? ????? ???? 100000
?????? ???? ???? 5000
???? 95000
3) ????? ?????? 24200
?????? ???????? 24200
4) ????? ?? ????? ???? 28800
?????? ??? ?????? 2200
?????? ?????? ?????? 2400
????? ?????? 24200
5) ????? ??? ????? 42560
??????? ????? 42560
6) ????? ?? ????? ???? 36000
?????? ??? 4000
?????? ????? 3560
?????? ?????? ????? 1000
????? ??? ????? 42560
208. ?? ????? (14-4) ???? 1) ??????? 500000 = (( 2 ื 20000) ( 41000 ) 500 = ?????? ?????? ??????
???? 2 )
( ????? ????? ื ??? ????????? ????? ????? ) ????? ????? ????? = ?????? ????? ????? ?????
??????? 640000 = ( 41000 ื 160 ) 10400000 17600000 ) = ?????? ????? ????? ?????
?????? ??? ????? ????? ????????? :
209. ???? 3)
??????? 500000 = [ ( 2 ื 20000 ) 42000 ] 250 = ?????? ??? ????? ????
410 = 2 ๗ 820 = ??? ??? ??? ????? ???? ?? ????
250 = 160 410 = ??? ????????? ????? ???? ???? ?? ????
42000 = 250 ๗ 10500000 = ????? ???? ( ????)
???? 4 ) ????? ??? ??? ?? ??? 16400000 = 820 ื 20000
???? 5) ?????? ?????? ??? ??? ?? ??? 20000000 = 500 ื 2 ื 20000
???? 6 ? 7 ) ????? ???? ????? ?????? ?????? ?????? 21000 = 2 ๗ 42000
?????? ??? ????? ????? ?? ?? ??? ????? 22000 ???? :
????? ???? ????? ?? 10500000
????? ????? ????? ??
( 160 ื 2 ื 22000) 7040000
??? 17540000
210. ?? ????? ( 15-4) ????? 500000 = ( 75 80 ) 100000 : ???? ??? : ?????? ??? ???? ??????? ???
????? 000 = ( 375 4000 ) 200 : ???? ?
??????? 10000 = ( 510 500 ) 1000 : ???? ?
??????? 640000 = ( 48000 40000 ) 80 : ???? ??? : ?????? ???? ????
??????? 6000 = ( 140 125) 400 : ???? ?
??????? 7500 = ( 515 500 ) 500 : ???? ?
??????? 129000 = ( 925 900 ) 5160 = ?????? ??? ??????
??????? 144000 = ( 5160 500 ) 900 = ?????? ?????? ??????
211. ?? ????? (16-4) ??????? 251500 = ( 160 165 ) 50300 = ?????? ??? ???? ???? ???
????? 16000 = (( 12 ื 4200) 50300) 160 = ?????? ???? ????
??????? 830000 = ( 200 17430000 ) 83000 = ?????? ??? ??????
83000
????? 200000 = (( 20 ื 4200) 83000 ) 200 = ?????? ?????? ??????
??????? 1165000 = (( 83000 ื 95) + 16400000 ) ( 17600000 + 7850000 ) = ?????? ????? ?????
?? ????? ????? ?? 24000000 = 300 ื 20 ื 4000
????? ????? ????? ?? 7600000 = 16400000 2400000
??? ????????? ????? ????? ???? ?? ???? ????? 1900 = 4000 ๗ 7600000
??? ????????? ????? ????? ???? ?? ???? 95 = 20 ๗ 1900
????? 95000 = ( 84000 83000) 95 = ?????? ??????
????? 820000 = ( 84000 ( 20 ื 4000)) (20 ๗ 16400000 ) = ?????? ???
4000
212. ??? ???? ???????
1) ?????? ???? ????? 10560000
??????? ???????? 10560000
2) ??? ?? ????? ???? 8064000 ( 160 ื 12 ื 4200)
?????? ??? ???? 251500
?????? ???? ????? 8299500 ( 165 ื 50300)
3) ??? ?? ????? ???? 16800000 ( 4000 ื 4200)
?????? ??? ?????? 83000
?????? ?????? ?????? 200000
?????? ???????? 17430000
4) ????? ??? ????? 25450000
??????? ????? 25450000
5) ??? ?? ????? ???? 25200000 ( 6000 ื 4200)
?????? ????? 11650000
?????? ?????? ????? 95000
?????? ??? ????? 820000
????? ??? ????? 25450000
213. : ????? ? ????? ???????
?????? ??? ???? + ?????? ???? ???? = ?????? ?? ????
(251500) + 16000 = (235500)
?????? ?????? ?????? + ?????? ??? ?????? = ?????? ?? ??????
200000 + (830000) = (630000)
?????? ????? ????? ????? + ?????? ?????? ????? ????? = ?????? ?? ????? ?????
35000 + 95000 = 130000
?????? ??? + ?????? ????? ????? ???? = ?????? ?? ????? ????
820000 + ( 1200000) = ( 380000)
214. ?? ????? (17-4) ???? ????? ??? ????????? ???? ?? ????
???? ?????? 4 ???? ( 96000) ?? 400 ???? (60000000) ? 1600 ????
24000 150000
?????? ?????? 3 ???? (72000) ?? 600 ???? (43200000) ? 1800 ????
24000 72000
????? ???? :
???? ? ???? ?? ???? 600 ???? ( 16000000)
3๗80000
????? ? ?? ???? 300 ???? ? ?? ???? 900 ???? 1500 ????
????? ?????????? ????? ?? ???? ????? 4900 ????
0= (400 3200000 ) 8000 = ?????? ??? ???? ????? ?????? ????
8000
900000 = (400 61500000) 90000 = ?????? ??? ???? ????? ?? ??? ???? ?? ????
150000
??????? 900000
??????? 800000 = (4ื 24000) 98000 ) 400 = ?????? ???? ????
?????? ??????? ??? ?????? 3680000 = ( 600 48800000) 75200 = ?????? ??? ??????
75200
?????? ??????? ??? ?????? 3680000 = ( 600 48800000) 75200 = ?????? ??? ??????
75200
??????? 1920000 = (( 3ื 2400) 75200) 600 = ?????? ?????? ??????
???? ???? ????? ????? ????? ???? ?????? ???? = ?????? ????? ?????
??????? 960000 = (( 3 ื 24000) 75200 ) 300 = ?????? ?????? ?????
215. ?? ????? (20-4) ??????? 97000 = (70-72) 48500 = ?????? ??? ???? ????? ( ???? ???)
??????? 8125 = (5/52 55) 3250= ?????? ??? ???? ????? ( ???? ?)
??? ?????? ??? ???? ????? 105125 ???????
??????? 35000 = ((15 ื 3200) 48500) 70 = ?????? ???? ???? (???? ???)
??????? 2625 = (( 1 ื 3200) 3250) 5/52 = ?????? ???? ???? ( ???? ?)
??? ?????? ???? ???? 625/37 ???????
????? 274000 = (525 6656000) 13200 = ?????? ??? ??????
13200
??????? 210000 = (( 4 ื 3200) 13200) 525 = ?????? ?????? ??????
?????? ???????? ????? ??? ????? ??? ???? ??????? :
( ????? ????? ื ??? ????????? ????? ?????) ????? ????? ????? = ?????? ????? ????? ?????
????? 186000 = ( 13200 ื 275) 3444000 = ?????? ????? ????? ?????
????? ???? ????? ?? ????? ???? ????? = ?????? ????? ????? ????
??????? 246000 = ( 2050 ื 3000) 6396000 = ?????? ????? ????? ????
??????? 110000 = (( 4 ื 3200) 13200) 275 = ?????? ??????
????? 410000 = ( 12800 12000) 5/512 = ?????? ???
216. ??? ???? ??????? ??? ?????
( 1050 ื 3200) ???? ???
1) ??? ?? ????? ???? 3528000 ( 5/52 ื 3200) ???? ?
?????? ??? ???? 105125
?????? ???? ???? 37625
?????? ???? ????? 3670750
((55 ื 3250 ) + ( 72 ื 48500)
???? ? ???? ???
2) ??? ?? ????? ???? 6720000 ( 2100ื3200)
?????? ?????? ?????? 210000
?????? ??? ?????? 274000
?????? ???????? 6656000
3) ????? ??? ????? 9840000
??????? ????? 9840000
4) ??? ?? ????? ???? 1008000 ((2050 + 1100) ื 3200)
????? ??? ????? 10080000
5) ????? ??? ????? 240000
?????? ????? ????? ???? 246000
?????? ?????? ????? 110000
?????? ????? ????? ????? 186000
?????? ??? ????? 410000
217. ?? ????? (21-4) ??????? 148000 = (200 -220) 7400 = ?????? ??? ???? ???? ???
????? 28000 = ((13 ื 580 ) 7400) 200 = ?????? ???? ????
??????? 5100 = (480 2131500) 4430 = ?????? ??? ??????
4430
??????? 38400 = (( 5/7 ื 580 ) 4430) ) 480 = ?????? ?????? ??????
????? 28800 = (( 4430 ื 160 ) + 2000000 ) ( 1970000 + 710000 ) = ?????? ????? ?????
218. ??? ???????
1) ???? ????? 2068000 ( 220 ื 9400)
??????? ???????? 2068000
2) ??? ?? ????? ???? 1508000 ( 200 ื 13 ื 580)
?????? ??? ???? ????? 148000
?????? ???? ???? 28000
?????? ???? ????? 1628000
(220ื 7400)
3) ??? ?? ????? ???? 2088000 ( 480 ื 5/7 ื 580)
?????? ??? ?????? 5100
?????? ?????? ?????? 38400
?????? ???????? 2131500
4) ????? ??? ????? 2680000
??????? ????? 2680000
5) ??? ?? ????? ???? 2871000 ( 160 + 500 ) ื 580) ื 5/7
????? ??? ????? 2871000
6) ????? ??? ????? 191000
?????? ?????? 12800
?????? ????? 28800
?????? ??? 175000
219. ??? ???? ซ ????? ???? ???? ? ????? ???? ?????? ป
?????? ??????? ?????? ?? :
????? ???? ??????
????? ??????? ?? ????? ???? ??????
???? ????? ???? ??? ? ???? ?? ??? ????? ???? ??????
220. ????? ???? ???? ? ????? ???? ??????
?? ?????? ???????? ?? ?????? ???? ????? ???? ????? ????? ??? ???? ???? ?? ??????? ?? :
1- ????? ???? ???? ( ????? ???? ???? ?? ?????? ) 2- ????? ???? ?????? ( ????? ???? ????? ?? ?????)
?? ??? ????? ???? ???? ???? ????? ??? ?????? (???? ?????? ? ?????? ?????? ? ????? ????? ???? ? ????? ???? ???? ) ?? ???? ???? ??? ????? ????? ??? ????? ?? ??? . ?? ???? ?? ?? ????? ???? ?????? ( ?? ?????) ?? ???? ?? ????? ??? ?????? ?? ??????? ?? ????? ?? ??? ????? ????? ?? ???? ? ?? ???? ???? ??? ????? ????? ??? ????? ?? ??? . ???? ?? ??? ??? ???? ???? ??? ????? ????? ??? ???? ???? ?????? ? ?????? ?????? ? ????? ????? ???? ??? . ?? ??? ????? ???? ?????? ? ????? ???? ???? ? ????? ????? ???? ??? ??? ???? ????? ???? ???? ?????? ??? ? ?? ???? ??? ? ???? ???? ???? ????? ?? ??? .
???? ?????? ? ????? ????? ????? ???? ???? ??? ????? ?? ?? ??? ?? ????? ??? ????? ??? ??? :
???? ???? ??? ????? ??? ?????? ???? ???? ??? ????? ??? ????
???? ?????? ื ???? ?????? ื
?????? ?????? ื ?????? ?????? ื
????? ????? ???? ื ????? ????? ???? ื
????? ???? ???? ื
ื ื
221. ????? ??????? ?? ????? ???? ??????
????? ???? ?????? ?? ????? ??? ??????? ?? ??? :
1- ????? ???? ???? ????? ?????? ???
2- ????? ???? ???? ???? ????? ?????? ????
3- ????? ???? ???? ???? ?????? ???
4- ?? ??????? ??????? ???? ?? ???? ???? ?? ? ???????
5- ???? ?????? ??? ??????? ?? ????? ?????? ??????? ????? ???
6- ???? ????? ????? ????? ????? ?? ????? ?????? ??????? ?? ????? ??????
7- ?? ??????? ???? ????? ???????
8- ???? ??? ??? ???????? ?? ??????
222. ???? ??? ? ???? ?? ??? ????? ???? ??????
???? ??? ? ???? ?? ??? ????? ???? ?????? ?????? ?? ???? ??? ? ???? ?? ??? ????? ???? ???? ??? . ???? ?????? ? ???? ??? ? ???? ?? ?? ??? ?? ????? ??? ????? ??? ??? :
223. ?? ????? ?? ????? ????? ?? ????? ???? ?? ???? ????? ???? ? ??? ?? ??? ????? ????? ??? . ?? ????? ?? ????? ????? ????? ?? ????? ???? ???? ? ??? ?? ??? ????? ???? ???? ????? ??? . ??? ???? ?? ????? ???? ?????? ?? ??? ???? ?? ????? ?????? ????? ??? ???? ?? ???? ???? ???? ????? ?? ??? . ?? ???? ?? ???? ????? ????? ???? ?? ??? ?????? ?? ???? ??? ? ???? ????? ??? ? ??? ?? ???? ???? ??? .
?????? ?? ????? ?? ????? ????? ???? ?? ????? ???? ???? ? ??? ?? ??? ????? ???? ???? ???? ??? . ?? ?? ???? ????? ??? ?? ??? ?? ????? ??? ?????? ?? ??? :
??? ????? ???? ( ????? ????? ????? ? ???? ?? ????? ?????? ????? ??? ???? ? ??? ???? ) = ????? ???
????? ??? ?? ?? ???? ?? ???? ??? ????? ???? :
??? ?????? = ??? ???? ???? = ?????
??? ?????? < ??? ???? ???? < ?????
??? ?????? > ??? ???? ???? > ?????
??? ????? ???? ื ????? ????? ? ???? = ????? ?? ???
225. ???? ?????? ????? ????? ??? ??? ???? 000/500/22 = 500/1 ื ( 000/60 000/75)
???? ?????? ????? ????? ??? ??? ????? 000/000/18 = (300- 500/1)ื(000/60 000/75)
?? ????? (11-5)
??? ????????? ????? ???? ื ????? ?????? ??? ? ??? ???? = ????? ??? ?? ???
3 ื (000/15 - 000/20) = 000/15
???) ????? ?? ????? ??? ????? ???? ?? ???? ??? ?? ???? ???? ????? ??? ??? .
??? ???? ?? ??? ???? 000/69 = 000/15 000/84
3 ื (000/15 000/18) = ????? ??? ?? ???
3 ื 000/3 = 000/9
? ) ??? ?? ??? ???? 000/93 = 000/9 + 000/84
????? ?? ????? ??? ????? ???? ?? ???? ???? ?? ???? ??? ????? ??? ??? ?? ????? 10-5 (???? 304)
226. ?? ????? (12-5) : ???? ?? ) ?? ??? ????? ???? ????? ????? ????? ???? ????? ???? ????? ?? ??? ??? ?? ??? ????? ???? ???? ? ????? ???? ??????? ????? ?? ??? ? ?????? ?? ????? ????? ???? ???? ?? ???? ???? ???? ??? ????? ???? ???? ?? ???? ???? ???? ??? ????? ???? ???? ????? ?? ??? ? ????? ?? ???? ?????? ????? ????? ??? ????? ???? ?????????? ?? ??? .
????? ????? ???? ?? ??? ???? : ????? ???? ??? ???? ???? ??? 70560 = 49000 ื 72000
50000
????? ???? ??? ?????? ????? ????? ??? ????? ???? 1440 = 1000 ื 44/1
72000 50000
227. ?? ????? (13-5)
230. ?? ????? 14-5 :
231. ?? ????? 15-5 :
232. ?? ????? 16-5 : ????? ??? ??? ?? ??? = ????? ??? ?????? ??? ? ??? ???? ื ??? ????? ????
???) : 2200 = (0-2000) ื 33000
30000
???? ??????? ?????? ??? ??? ?? ??? :
??? ???? ?? ??? ????? ???? ????? 41000
????? ?? ??? : ????? ????? ???? ????? ???
?? ?????? ??? ???? 22000
??? ???? ?? ??? ????? ???? ???? 43200
?)
??? ???? ??????? ???? ????? ??? ????? ???? ?????? ?? ????
???? ???? ??? ????? ???? ???? (1/1 ื 28000) 30800
?????? ????? ????? ??? (1/1 ื 2000) 2200
??????? ????? ??? ????? 33000
233. 100000 = 10 ื ( 110000 120000) = ?????? ???
????? ????? ????? ?? ??? ???? : 10000 = 145000 120000 + 35000
?? ) ??? ?? ??? ????? ???? ????? ????? ??? .
250000 = 10 ื (120000 145000) = ????? ?? ???
234. ?? ????? 18-5 : ??? ) ????? ??? ????? ????? ?? ???? 570 = 190 + 60 + 320
???? ?????? ????? ??? ???? ?? ??? ?????? 855000 = (26000 27500) ื 570
?? ???? ?? ??? ????? ???? ????? ( ?????? ) ??????? ?? ??? .
? ) ????? ????? ?? ???? ??? ???? 700 = 130 ื 570
?) 3250000 = 130 ื 25000
?) ????? ???? ??? ??? 3575000 = 130 ื 27500
????? ??? ????? 75000 = 3500000 3575000
?? ) 75000 = (27500 25000 ) ื 130 = ?????? ???
?????? ??? ( ????? ) ?? ??? ????? ???? ????
- ?? ??? ????? ???? ????? ?????? ??? ?????? ??? ???
235. ?? ????? 19-5 ??? 2) 200000 = 2 ื 100000
? 3) 580000 = (8/3 + 2) 100000
??? 4) 608000 = 6/7 ื 80000
??? 5) 180000 = 80000 + 100000
? 2) 380000 = 8/3 ื 100000
?- 3) 352000 = (6/5 10) ื 80000
? 4) 288000 = : [(8/0 + 6/5) 10] ื 80000 ?? 288000 = 64000 352000
8/0 = 160000
200000
?- 5) ???? (12000) = 300000 - 288000
236. ?? ????? 20-5 : ???????? ????
???) ???? ???? ??? ? ???? ??? ????? ???? ????
- ???? ????? ???? ????? ?? 31/6/70 (????? ?? ???? ????)
???? ???? 3500000
???? ???? ??? ????? ???? ???? :
???? ???? ??? ????? ????? ??? :
????? ??? ?????? ????? 3200000
????? ??? ?????? ???? 320000
???? ???? ??? ????? ????? ???? ???? 3520000
?????? ????? ??? ???? (880 ื 500) (440000) 3080000
??? ?????? 420000
????? ??? ??????? :
????? ??? ????? ???? ? ????? ( 90 ื 3500) 315000
????? ??? ???? ???? ? ????? 80000 (395000)
??? ???? 25000
?) ??? ????? ???? ื ????? ????? ? ???? = ????? ?? ???
80 ื 500 = 40000
?) ??? ?? ??? ????? ???? ????? ? ???? ????? ??? ????? ???? ?? ????? ????? ???? ???? ????? ?? ??? ? ???? ?? ???? ?? ??? ???? ???? ???? ???? . ?? ???? ?? ?? ??? ????? ???? ???? ???? ?? ????? ????? ???? ?? ????? ?????? ????? ????? ???? ?? ??? ???? ??? ????? ?? ??? .
??? ????? ???? ???? ???? ????? ???? ??????? ??? ???????? ??? ? ????? ??????? ?? ???? ???? ?? ???
239. ?? ????? 21-5 : ???? ?????
???? ???? ????? ?? 30/11/1370 ( ??? ????)
???? 2400000
???? ???? ??? ????? ???? ???? : (16ื 100000) (1600000)
??? ?????? ????????? 800000
?????? ??? ??????? 20000
??? ???? ????? ??? 780000
????? ??? ???? ???? ? ????? (400000)
??? ???? 380000
????? ???? 100000 = 24 : 2400000
????? ????? 145000 = 45000 + 100000
??? ????? ???? ื ( ????? ??? ????? ? ???? ) = ????? ??? ?? ???
4 ื 45000 = 180000
????? : ??? ????? ????? ?? ???? ??? ??? ??? ?? ??? ????? ???? ?????? ???? ?? ??? ????? ???? ???? ??? .
??????? 20000 = ( 145000 150000) ื 4 = ?????? ???
240. ?? ????? 22-5 :
244. ??? ??? ซ ????? ? ????? ????? ??? ??? ป
?????? ??????? ?????? ?? :
????? ? ????? ????? ??? ??? ?? ?????? ?? ??????
????? ? ????? ????? ??? ??? ?? ?????? ??? ??????
?????? ????? ????? ? ????? ????? ??? ???
????? ?????
245. ????? ? ????? ????? ??? ??? ?? ?????? ?? ??????
?? ????? ? ????? ????? ??? ??? ? ??? ??????? ???? ???? ? ????? ????? ? ????? ???? ? ??? ????? ?? ??? ???? ????? ????? ?? ??? . ?? ??? ????? ?? ???? ?? ???? ?? ??? ??????? ???? . ???? ????? ???? ?? ?????? ( ????? ? ???? ????) ?? ???? ?? ??? ?? ?? ?? ??? ? ????? ???? ?? ???? ???? ?? ??? ????? ?? ????? ??? ? ???????? ??? ? ?? ????? ???? ?????? ???? . ???????? ?? ???? ???? :
????? ???? + ????? ????? = ????? ???? ?? ????
?? ????? ?? ?? ???? ?? ?????? ? p ???? ???? ?? ???? ???? ? V ????? ????? ?? ???? ???? ? F ????? ??? ???? ? Q ????? ????? ????? ??? ? ?????? ??? ???? ? ?? ???? ???? :
(P.Q) = (V.Q) + F P.Q V.Q = F
????? ???? Q(P-V) = F Q = F =
????? ?? ???? ???? ???? ?? ???? P-V
246. ???? ???? ?? ???? ????? ????? ????? ?? ???? ????? ??? ?? ???? ?? ???? ?? ??? ???????? ?? ???? ???? :
F = ????? ??? ???? = Q
C.M ????? ??? ?? ????
?? ????? ??? ????? ????? ? ???? ?? ???? ????? ?? ???? ?? ????? ?? ????? ?? ??????? ???? ???? ?? ???? ????? ?? ???? ????? ?? ???? ( ????) ????? ??? ?? ???? (%C.m) ???? C.m ??????? ?? ???? . ? ?? ????? ?? ??????? ????? ????? ? ???? ???? ?? ?? ??? ??? ????? ???? ???? ????? ??? ?? ?? ???? ??? ????? ?? ?????? :
?? ????? ??? : ??? ???? + F = Q
C.M
??? ?? ????? ?? ??? ???? ??? ????? ???? ? ????? ????? ?? ???? ? ?? ??? ?? ???? ???? ??? ?? ????? ??? ??????? ?? ???? :
F = Q ?? F = Q
???? ??? - %C.m ??? ?? ???? C.m
247. ????? ? ????? ????? ??? ??? ?? ?????? ??? ?????? :
?? ???? ???? ?? ??? ??? ????? ????? ?? ???? ? ???? ??? ????? ???? ??????? ???? ???? . ?? ??? ???? ???? ????? ???? ??????? ? ??????? ????? ????? ??? ?? ???? ? ?? ??????? ????? ???? ????? ??? ?????? ?? ??? ? ?? ????? ???? ????? ???? ?? ???? . ?? ?? ?????? ???? ????? ???? ??? ? ??? ?????? ??? ?? ????? ???? ??????? ??? ??? ? ???? ????? ?? ?? ?? ??????? ???? ?? ??? .
?????? ????? ????? ? ????? ????? ??? ???
?????? ????? ????? ? ????? ????? ??? ??? ??????? ?? :
1- ????? ????? ? ???? ???? ? ????? ??? ?? ???? ???? ??? .
2- ????? ??? ???? ?? ????? ????? ???? ????? .
3- ????? ??? ???? ????? ?? ?? ???? ?? ?? ??? ???? ? ????? ????? ???? .
4- ????? ????? ?? ????? ???? ???? ???? ????? ???
5- ?? ?? ???? ???? ? ????? ????? ???? ????? .
6- ?? ?? ???? ??? ?????? ? ????? ???? ??????? ???? ??? .
7- ???????? ????? ?? ???? ???? ??? ????? ?????? ??? .
248. ????? ?????
????? ????? ????? ??? ???? ????? ??? ? ?? ????? ?? ?? ???? ?? ???? ?? ???? ?? ?? ?? ??? . ????? ????? ???? ?? ??? ?? ??? ???? ?? ?? ?? ?? ?? ???? ???? ??? ? ??? ?? ????? ???? ?? ???? ????? ???? . ?????? ???? ? ????? ????? ??? ?????? ??? ?? ?????? ?? ?? ????? ??? ?? ???? ????? ? ?? ????? ?? ?? ?? ???? ?? ???? . ????? ????? ?? ?? ???? ?? ???? ????? ? ???? ???? ? ?? ?? ?? ?? ???? ??? ???? ???? :
????? ???? ?? ???? ????? ????? ???? ????? ? ?? ????? ??? = ????? ????? ?? ??? ?????
???? ???? ?? ???? ????? ???? ???? ????? ? ?? ????? ??? = ????? ????? ?? ??? ????
????? ????? ?? ??? ????
= ???? ????? ?????
???? ????? ???? ? ?? ????? ???
???? ???? ????? ื ???? ????? ??? ื ???? ????? ????? = ??? ?????
??? ?????
= ???? ????? ?????
????? ??? ?????
250. ?? ????? (1-6) (???? 375): 15 = 5 20 = C.M = ????? ??? ?? ????
140000 = 20ื 7000 = P.Q 7000 = 105000 = Q ? ????? ? ???? ???? ?????
15
?? ????? (2-6)
40% %C.M = 60% - 1 60% = %V = ???? ????? ?????
20000 = Q 2500000 = P.Q 200000 = 800000 - (P) 40%
125 = 2500000 = P = ???? ???? ?? ????
20000
2500000 = 200000 + 800000 = P.Q
40%
125 = P 2500000 = P 20000
251. ?? ????? (3-6) I-a ?? ????? ???? ?????? 480000 = 12 ื 20000 = F ??????
480000 = s 10% - s 75% - s s10% + f = s 75% - s
???? ???? 3200000 = s 480000 = s 15%
???? 3200000
????? ????? (2400000)
????? ???? 800000
????? ???? (480000)
??? ???? (10% ????) 320000
?????? ?? ???? 1200000 = 2000000 3200000
??? ???? : II-b
?? ?? ????? ???? 25% = 75% - 100% = %C.M
S 10% + 480000 = s 25% s 10% + 480000 = s
25%
???? ???? 3200000 = s 480000 = s 15%
252. ?? ????? (4-6) : 1800000 = 100000 + 1700000 = f
??? ) 6000 = 1800000 = Q 800 = P ? 500 = V
500 800
?) 10000000 = 7000000 = ??? ??? ?? ??? ??????
30% - 1
333/39 = 10000000 + 1800000 = Q
300
?? ????? (5-6)
3300000 = 2475000 = ??? ??? ?? ??? ?????? = ??? ??? ?? ??? ??????
75% ??? ?????? 1
??? ) 772 = 8106000 = 3300000 + (1806000 + 3000000) = Q
10500 (3000 + 1500 + 3000 + 120000) 30000
67/26% = 20% = ???? ??? ??? ?? ??? ?????? = ???? ??? ??? ?? ??? ??????
75% ??? ?????? - 1
???? ??? ???? ??? ??? ?? ??? ??????
253. ?? ????? (6-6)
??? ) 9375000 = 125000 ื 75 = P.Q 125000 = 7500000 = Q
15-75
3375000 = 9375000 (75ื170000) = ????? ????? ?? ??? ????
45000 = 125000 170000 = ????? ????? ?? ??? ????
5/26%100 ื 125000 170000 = ???? ????? ?????
170000 ? ) 35% = 100 ื 10500 = C.M
30000
S67/26 + 4806000 = s
35%
57672000 = s 4806000 = s 08333/0 4806000 = s 67/26% - s 35%
? ) 13740000 = 458 ื 30000 = P.Q 458 4806000 = Q
10500
254. ?? ????? (7-6) ??? ) P.Q = 12500 = 500 ื 25 25 = (1000 + 6000 + 2500 + 500) = Q
100 500
80% = 100 ื 400 = %cm
500
?) 50 = 500 : 25000 = s s 40% + 10000 = s
80%
? ) 6 = 30 ื 400 = s v = ???? ???? ??????? ?? ??? ????? ? ???? 30 ????
10000 (100 500 ) 30 s v f
100 ื (???? ?????? ?? ???? ื ???? ???? ??????? ) = ???? ?????? ?? ???
240% = 100 ื (40% ื 6) = ???? ?????? ?? ???
2000 = 10000 (400 ื 30) = ??? ?? ??? ????? ? ???? 30 ????
4800 = 240% ื 2000 = ?????? ??? ?? ??? ?????? 40% ?? ?????? ?? ??? ???? 30 ????
? ) 6800 = 2000 + 4800 = ?? ??? ??? ?? ?????? 40 %
255. ?? ????? (8-6) ????? ????? ?? ???? ????? 165000 = 43560000 = Q
56 320
???) 15000 = 165000 180000 = ????? ????? ?? ??? ?????
?) 12 = 180000 ื 264 = s v = ???? ???? ??????? ?? ??? 180000 ????
43560000 ( 180000 ื 264) s-v-f
100 ื (???? ?????? ?? ???? ื ???? ???? ??????? ) = ???? ?????? ?? ???
360% = 100 ื (30% ื 12) = ???? ?????? ?? ???
18216000 = (3960000 ) 360% + [ 43560000 (264 ื 180000 ) ] = ???? ??? ????
????? ???? ???? (?) ????? :
???? 74880000
????? ??? ????? (13104000)
????? ???? 61776000
????? ??? ???? (43560000)
??? ??? ?? ?????? 18216000
?? ) 177000 = 3168000 + 43560000 = Q
264
???? ???? ????? ???? 56640000 = 320 ื 177000 = s
225000 = 125% 180000 = ????? ???? ?? ?????? 25%
7/4 (264 ื 225000) = ???? ???? ??????? ?? ??? ???? 225000 ????
46728000 ( 264 ื 225000)
256. ?? ????? (9-6) ??? ) ????? ?? ??? 44 = 2500 : 110000 ? 110000 = s 2500 = 25 : 62500
? ) ????? ?? ??? ???? ????? ?? ??? 54 = 10 + 44 10 = 2500 : 25000
?)
????
????? ??? ???? 2500 ื (8/8 25) 40500
????? ??? ??? ?? ???? ???? ???? 47700
[(90% ื 2500) ื (8/8 30) ]
????? ??? ????? ?????? ??? (???? ???? 7200
????? ???? ?????? 88000 = 80% ื 110000
????? ????? ?????? 22000 = 88000 110000
????? ????? ?????? ?? ??? 8/8 = 2500 : 220000
? ) ???? ???? ??? ? ???? ??? ???? ?? ?? ???? ???? 25 ???? ? ????? ??? ???? ? ???? ? ????? ???? ?? ?????? 10 ???? ? ???? 5% ?? ????? ???? ??? ???? ???? ? ??? ???? ?? ????? ?? ???? ?? ?? ??? ?????
257. ?? ????? (10-6) ???) 37/11 = 95/18 ื 60% = P
0425/3 = (95/18) 15% + (1500000 : 300000 ) = v
16451512 9000000 + 4700000 = Q
0425/3 37/11
4700000 = 4500000 + 200000 = f
?) ?? ??????? ???? ??? ????? ??? ???? ??? ? ???? ????? ???? ????? .
?) 7791250 = 4700000 (3275/8 ื 1500000)
? ) 16118750 = 4700000 (3275/8 ื 2500000 )
564395 = 4700000 = Q ????? ???? ???? ?????
3275/8
6417171 = 37/11ื 564395 = P.Q ???? ???? ???? ?????
935605 = 564395 1500000 = ????? ????? ?? ????? ?? ??? ???
1910605 = 564395 2475000 = ????? ????? ?? ?????
(37/11 ! 564395 ) ( 37/11 ื 2475000) = ???? ????? ?????
21723579 = 6417171 28140750 = ???? ????? ?????
3/1 = 20610563 = 3275/8 ื2475000 = ???? ???? ???????
15910563 4700000 (3275/8 ื 2475000 )
100 ื (???? ?????? ?? ???? ื ???? ???? ??????? ) = ???? ?????? ???
5/19% = 100 ื (15% ื 3/1) = ???? ?????? ???
3102560 = [ 4700000 (3275/8 ื 2475000 ) 5/19% = ???? ?????? ???
19013123 = 3102560 + 15910563 = ???? ??? ??? ?? ?????? ?? ???? 15%
259. ?? ????? (11-6) ????? ???? ????? 32500 = 9100000 = Q
280
????? ???? ???? ??? ? ? ?? ???? ????? 162500 = (5+2) ื 32500
????? ???? ???? ??? ?? ???? ????? 65000 = (2) ื 162500
5
????? ???? ???? ? ?? ???? ????? 97500 = (3) ื162500
5
??? ???? :
????? ????? ???? ???? ???????? - ????? ???? ????
??? 80 40% 32
? 40 60% 24
??????? ????? ??? ??????? 56
?? ???? ??? ? ? ?? ???? ????? 162500 = 9100000 = Q
56
???? ??? 65000 = 40% ื 162500
???? ? 97500 = 60% ื162500
260. ?)
P.Q V.Q = f
12 = 12000 = v ? 20 = P 20000 = P 1000 8000 + 12000 = P 1000
1000
?? ?? ???? ???? ????? 8 ???? ?? ??? ???? ??? ?? ??? ?????? ????? ????? ?? 8=12-20 P-V=CM
?) 19800000 = , f 200 = (500 ) 40% = V ? 500 = P
S 15% = -VQ f
(Q500) 15% = 19800000 Q200 Q 500
19800000 = Q 75 Q 300 Q 75 = 19800000 Q 300
88000 = Q 19800000 Q 225
??? ???? :
S 15% + 19800000 = s 60% s15% + 19800000 = P.Q = s
60%
44000000= s 19800000 = s 45% 60% = 200 500 = %CM
500
44000000= (P.Q) = S
88000 = Q
?) 125000 = 25 ื 5000 = ???? ?? ???? ?????
140000 = 25 ื 5600 = ???? ????
600 = 5000 5600 = ????? ????? ?? ?????
15000 = 125000 140000 = ????? ????? ?? ????
7/10ื = 100 ื 5000 5600 = ???? ????? ?????
5600
261. ?? ????? (12-6) 6000 = P ????? 10000000 = Tfc 1500= CM????? 4 = ???? ???? ?????
???) 30000 = P ??? 30% = T.R 4000 = CM ??? 1= ???? ???? ???
262. ?) 91792657 = 7000000 + 10000000 = S
52/18%
?) 10000000 = 7000000 = ??? ??? ?? ??? ?????? = ??? ??? ?? ??? ??????
70% (??? ?????? 1)
107991361 10000000 + 10000000 = S
52/18%
?) ????? ???? ?? ??? 2000 = 54000 : 107991361
????? ??????? ???? ????? 12000 = 6 ื 2000
????? ??????? ???? ??? 2000 = 1 ื 2000
?? ????? ???? ???? 14000
26000000= [(4000 ื 2000 ) + (1500 ื 12000) ] = T.CM
11200000 = (30% - 1) ื 16000000 = 10000000 26000000= ??? ???? ??? ?? ??? ??????
??? ?????? ?? ??? ? ?????? ???? ????? ??? ?? ???? ????? ?? ?????? ?? ?? ???? ??? ??? .
????? : ????? ???? ????? ?? ????? 4000 = (4-6) ื 2000
?????? ?? ??? ???? ????? ?? ????? ???? ??? ?? ??????
4200000 = (30% - 1) ื 6000000 = 1500ื 4000
?? ??? ???? ???? ??? ?? ??? ?????? 11200000 = 7000000 + 4200000
263. ?? ????? (13-6) ???) 3642831 = [(100000+300000) 2100000] = ????? ??? ???? ???? = ???? ????? ???? ??? ?? ??????
667/46% %CM
????? ????? ? ???? ?? ???? ????? ???? 6071 = Q 3642831 = P.Q ?? ???? ????? ????
???? ???? ???? ??????? ????? ??? ??????? ????? ??? ???? ???? = ???? ????? ???? ??? ?? ??? ??????
%C.M
(30% ื 400000 ) 1700000 =
667/46%
?) 5643=Q 3385690 = P.Q 3385690 = 1580000 = ???? ????? ???? ??? ?? ??? ??????
667/46%
?) ????? ???? ?
????
????? ???? (280ื5623) 1580000
????? ??? ???? ???? :
???? ?????? (300000 1200000) (900000)
???? ???? ? ????? (100000 900000) (800000)
??? ????? ??? ???? ???? (1700000)
???? ???? ??????? ????? ??? ??????? (30% ื 400000) (120000)
32000= F ? 100 =V ? 150 = P
265. ?) :
?? ???? ?? ????? ???? ????? ?? ?? ??? (??? ? ?) ????? ?? ????? ?? ??? ???? ???? ????? ?? ??? ?????? ????? ???? ????? ?? ???? . ?? ???????? ????? ?? ??????? ????? ???? ? ?????? ??? ??? ?? ??? ????? ??? ????? ?? ????? ????? ???? ?????? ??? . ???????? ?????? ?????? ???? ????? ?? ????? ???? ???? ??? . ??????? ? ??????? ????? ?? ??? ????? ?? ?? ????????? ???? ???? ?????? .
266. ?? ????? (15-6) ????? ???? ?? ???? ????? 190000000 42000000 + 28000000 + 120000000
= = Q
600 [(45 + 75 + 400) 1120]
???? ???? ?? ???? ????? 354667040 = 1120 ื 316667
?)
85119 = 316667 401786 = ????? ????? ?? ?????
95332960 = 354667040 450000000 = ????? ????? ?? ????
185/21% = 100 ื 85119 = ???? ????? ?????
401786
?) ????? ??????? ??? :
640 = 120 + 520 = V
???? ????? ??? ?? ???? ??????? ??? 480 = 640 1120 = CM
395833 = 190000000 = Q
480
267. ??? ??? ?? ?????? ?? ???? ???? ??????? ???
41428736 = 190000000 [ (2/1 ื 401786) 480] = ??? ??? ?? ??? ???????
(51071600) = 190000000 (491786 ื 600) = ??? ??? ?? ?????? ????
(9642864) ???? ??? ?? ???? ??????? ???
????? ??????? ??? :
?? ?? ????? ??? ???? 6/53% - 100 ื 600 = %CM
1120
?????? ?? ??? ?? ???? ???? ??????? ???
34180000 = 2000000 36180000 = (450000000ื 6/52%) 15%
????? ??????? ??? :
190000000 (520 ื 482143) [[401786ื120%][(1120)(19% - 100%]]
??? ???? ?? ???? ???? ??????? ??? 45285680 =
??? ???? ???? (51071600)
???? ??? ?? ???? ???? ??????? ??? (5785920)
?? ???? ?? ??????? ??? ??????? ??? ???? ???? ??? .
268. ?? ????? (16-6) ??? ) 1952 = 8200000 = 5400000 + 2800000 = Q
4200 3800 8000
?) 5/52% = 100 ื 4200 = %CM
8000
35619048 = 10500000 + 8200000 = S
5/52%
4452= 8000 : 35619048
?) 15000000= 10500000 = ??? ??? ?? ??? ?????? = ??? ??? ?? ??? ??????
7/0 (??? ?????? 1)
5524 = 8000 : 44190476 = 15000000 + 8200000 = S
5/52%
269. ?) 57/28% = 20% = ???? ??? ??? ?? ??? ?????? = ???? ??? ??? ?? ??? ??????
70% (??? ?????? 1)
34266611 = s s 75/28% + 8200000 = S
5/52%
??) 9000000 = 800000 + 8200000 = f ? 3000 = 800 3800 = V
??? ??? ?? ?????? ????? 11000000 = 9000000 (5000 ื 4000) ? 5000 = 3000 8000 = CM
??? ???? ?????? ????? ????? 8600000 = 8200000 (4200 ื 4000)
2400000 ?????? ?? ??? ??? ?? ??? ?????? ??? ?? ????? ?????? ????? ???? ??
?) 10000000 = 1000000 + 9000000 = f ? 3000 = V
???? ???? 7200 = 90% ื 8000 = p ????? ???? 5200 = 130% ื 4000 = Q
??? ???? 11840000 = 10000000-(4200ื5200)= P.B.T 4200 = 3000 7200 = CM
??? ???? 8600000
3240000 ?????? ?? ??? ??? ?? ????? ??????? ???? ซ??ป ? ซ?ป
270. ?? ????? (17-6) ???) ??????? ???? ????? 125000 = 10% ื 1250000
??????? ????? ????? ?? 30000 = 15% ื 200000
??????? ???? ???? ??? 160000 = 20% ื 800000
???????? ???? ?????? 315000
?) ?????? ???? ????? ?????? 20000 = 30000 50000 = 40% ื 125000
?) ????? ????? 140000 = 50000 + (10ื 900000) 50000 = 10% ื 500000
????? ????? 125000 15000 = 15% ื 100000
15000 ????? ????? ????? ??????? ????? 60000 = 20% ื 300000
125000 900000
? )
????? ???? ?????? 140000 = 50000 + (10% ื 900000)
????? ????? ????? 90000 = 10% ื 900000
???? ????? 50000
271. ?? ????? (18-6) 30 = CM ? 6600000 = f ? 20 + 50 = V ? 100 = P
??? ) 22000000 = 100 ื 220000 = 6600000 = Q
70 100
?) 240000 = 600000 + 6600000 = Q
30
3000000 = 1200000 = ??? ??? ?? ??? ??????
40%
?) 320000 = 3000000 + 6600000 = Q
30
?) ??????????????????????????????????????????????????????????????????????????????????????????????????????????? 20 = 40% ื 50
???? ?? ????? ????? ????? ???? ?? ???? 2= 10% ื 20
????? ????? ????? ?? ???? ?? ?? ???? ?? ?????? ?????? 48= 2 50
?? ????? ??? ????? ?? ???? 68 = 20 + 48
1650000 = 25% ื 6600000
???? ?? ????? ??? ???? 165000 = 10% ื 1650000
????? ??? ???? ?? ?? ???? ?? ?????? ?????? 6435000 = 165000 6600000
201094 = 6435000 = Q
68-100
???????? ?? ???? ?? ????? ?????? ? ???? ????? ???? ?? ???? .
272. ?? ????? (19-6)
275. ?? ????? (20-6)
276. ?? ????? ( 021 6)
280. ?? ????? (22-6)