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lwB Aqy hwnI. b`icE ! lwB Aqy hwnI dy svwlW nMU h`l krn leI kuJ g`lW jo p`ky qOr qy Xwd r`KxIAW cwhIdIAW hn auh ieh hn ik jykr vyc mu`l > KRId m`ul qW lwB huMdw hY [ jykr KRId m`ul > vyc mu`l qW hwnI huMdI hY [ lwB%jW hwnI % hmySW KRId mu`l qy k`iFAw jWdw hY [.

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lwb aqy hwni
lwBAqyhwnI
  • b`icE! lwBAqyhwnIdysvwlWnMUh`lkrnleIkuJg`lWjop`kyqOrqyXwdr`KxIAWcwhIdIAWhnauhiehhnik
  • jykrvycmu`l>KRIdm`ulqWlwBhuMdwhY[
  • jykrKRIdm`ul>vycmu`lqWhwnIhuMdIhY[
  • lwB%jWhwnI% hmySWKRIdmu`lqyk`iFAwjWdwhY[
slide2

rwmnyie`kvsqU 800 rupeyiv`cKRIdIAqyausnMU 840 rupeyiv`cvycid`qwausdwlwBjWhwnIpqwkro[KIRdmu`l = 800vycmu`l = 840vycmu`l> KRIdm`uliesleIlwB = 840-800=40

slide3

dukwndwrnyie`kvsqU 900 rupeyiv`cKRIdky 850 rupeyiv`cvycid`qIausdwlwBjWhwnIpqwkro[KRIdmu`l = 900vycmu`l = 850vycmu`l< KRIdm`uliesleIhwnI = 900-850=50 rupey

lmby svwlw nmmu aswn qriky nwl h l krnw
lMbysvwlWnMMUAswnqrIkynwlh`lkrnw
  • C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlvycIAW[ ie`kau`qy 10% lwBAqydUjIau~qy 10% hwnIhoeId`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI

pihlwkys

vycmu`l = 9900

lwB = 10%

KRIdmu`l = vycmu`l ¿ 100/(100+ lwB%)

= 9900 ¿ 100/(100+10)

9900 ¿ 100/110=9000

slide5

dUsrwkys

vycmu`l = 9900

hwnI = 10%

KRIdmu`l = vycmu`l ¿ 100/(100- hwnI%)

= 9900 ¿ 100/(100-10)

9900 ¿ 100/90=11000

slide6

kulKRIdmu`l =9000+11000=20000

kulvycmu`l = 9900+9900=19800

hwnI = 20000-19800=200

hwnI % = 200¿100/20000= 1%

aswn qrikw
AswnqrIkw
  • Aijhysvwlwiv`cijMnHWiv`cvycbrwbrhovyie`ksOdyiv`clwB% AqydUsrysOdyiv`chwnI % brwbrhovyaunHWkysWiv`chmySwhwnIhuMdIhY
  • hwnI % = lwB ¿ hwnI/100

= 10¿ 10/100=1% hwnI

slide8

Aihmdny do bweIswiekl 960 rupeypRqIbweIswieklvycyausnMUie`kqy 20% lwBAqydUjy ‘qy 20% hwnIhoeI[d`soausnMUswrysOdyiv`cikny % lwBjWhwnIhoeI?

  • (1) 2% lwB (2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI
slide9

Aihmdny do bweIswiekl 960 rupeypRqIbweIswieklvycyausnMUie`kqy 20% lwBAqydUjy ‘qy 20% hwnIhoeI[d`soausnMUswrysOdyiv`cikny % lwBjWhwnIhoeI?

  • (1) 2% lwB(2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI
slide10

C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlKRIdIAW[ ie`knMU 20% lwBAqydUjIau~qy 20% hwnI ‘qyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI[

  • (1) 2% lwB (2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI
slide11

C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlKRIdIAW[ ie`knMU 20% lwBAqydUjIau~qy 20% hwnI ‘qyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI[

  • (1) 2% lwB (2) 4% hwnI (3) 4% lwB(4) nwlwBnwhwnI
slide12
pRSn
  • mnjIqisMGny do motrswiekl 32000 rupeypRqImotrswieklKrIdyie`knMU 15% lwBAqydUjynMu 15% hwnIqyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI?
  • (1) 22.5% lwB (2) nwlwBnwhwnI (3) 2.25% lwB (4)2.25% hwnI
au qr
au`qr
  • mnjIqisMGny do motrswiekl 32000 rupeypRqImotrswieklKrIdyie`knMU15% lwBAqydUjynMu15% hwnIqyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI?
  • (1) 22.5% lwB(2) nwlwBnwhwnI(3) 2.25% lwB (4)2.25% hwnI
slide14

5 rupeydy 6 kylyAqyaunHyhI 6 rupeydy 5 kylyKRIdkyie`kruipAwpRqIkylwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI?

  • AijhysvwlWnMUh`lkrnleIpihlWAsIN 5 Aqy 6 dwlGuqmsmwpvrqX=30 k`Fdy hw
  • AqymMnlYNdyhWikdukwndwrnydonWiksmdy 30-30 kylyley[
slide15

pihlIiksmdy

  • 5 kyilAWdwKRId=6
  • 1 kylydwKRId=6/5
  • 30 kyilAWdwKRId=6/5¿30=36 rupey
slide16

dUsrIiksmdy

  • 6 kyilAWdwKRId=5
  • 1 kylydwKRId=5/6
  • 30 kyilAWdwKRId=5/6¿30=25 rupey
slide17

pihlIiksmdy 30 kyilAwWdwKRId=36 rupey

  • dUsrIiksmdy 30 kyilAwWdwKRId=25 rupey
  • dohWiksmdy 60 kyilAWdwKRId=36+25=61 rupey
slide18

1 kylydwvyc = 1 rupey

  • 60 kyilAWdwvyc=1¿60=60 rupey
  • hwnI =61-60 = 1 rupey
  • hwnI % = hwnI ¿100/ KRIdmu`l
  • = 1¿100/61= 100/61= 1 39/61 % hwnI
aswn qrikw1
AswnqrIkw
  • 5 rupeydy 6 kylyAqyaunHyhI 6 rupeydy 5 kylyKRIdkyie`kruipAwpRqIkylwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI?
  • AihjykysWiv`cvIhmySwhwnIhuMdIhY[
  • KRIdmu`l =52+62 = 25+36=61
  • vycmu`l = 2¿5¿6 =60
  • hwnI = 61-60=1 rupey

hwnI % =

slide20
pRSn
  • 8 rupeydy 10 sMqryAqyaunHyhI 10 rupeydy 8 sMqryyKRIdkyie`kruipAwpRqIsMqrwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI?
  • AihjykysWiv`cvIhmySwhwnIhuMdIhY[
  • KRIdmu`l =82+102 = 64+100=164
  • vycmu`l = 2¿8¿10 =160
  • hwnI =164-160=4
  • hwnI % = 4¿100/164=
pwrmulw
PwrmUlw
  • prupeydyqsMqryAqyaunHyhIq rupeydypsMqryyKRIdkyie`kruipAwpRqIsMqrwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI?
  • AihjykysWiv`cvIhmySwhwnIhuMdIhY[
  • KRIdmu`l = p 2+q2 =
  • vycmu`l = 2¿p¿q =
jdon vsqw dy mu l di bjwey igxqi di g l kiqi hovy
jdoNvsqWdymu`ldIbjweyigxqIdIg`lkIqIhovy
  • 16 pY~nWdwvyc, 20 pY~nWdyKRIdmu`ldybrwbrhYlwBjWhwnI % pqwkro[
  • auprokqsvwliv`c 16 pY~nvycxnwl 4 pY~nbcrhyhn
  • lwB %=bcIAWvsqW ¿ 100
  • vycIAWvsqW
  • lwB % = 4 ¿ 100 = 25%

16

slide23

ie`kbyeImwndukwndwriesg`ldwdwhvwkrdwhYikauhvsqWKRIdmu`lqyvycirhwhYlyiknauhvsqU 1 iklogrwmdIbjwey900 gRwmvsqUqolirhwhYausdwlwB % pqwkro

  • vycIvsqU = 900 gRwm
  • bcIvsqU = 100 gRwm
  • lwB % = bcIvsqU ¿100
  • vycIvsqU
  • lwB = 100¿100 = 11
  • 900
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