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Sec 3.5 Increase and Decrease Problems . Objectives Learn to identify an increase or decrease problem. Apply the basic diagram for increase or decrease problems. Use the basic percent formula to solve increase or decrease problems. Increase Problems.

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Sec 3 5 increase and decrease problems
Sec 3.5 Increase and Decrease Problems

  • Objectives

    • Learn to identify an increase or decrease problem.

    • Apply the basic diagram for increase or decrease problems.

    • Use the basic percent formula to solve increase or decrease problems.


Increase problems
Increase Problems

The part equals 100% of the base plus some portion of the base.


Increase problems1
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of,


Increase problems2
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than,


Increase problems3
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than, or greater than


Increase problems4
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than, or greater than often indicate an increase problem.


Increase problems5
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than, or greater than often indicate an increase problem.

The basic formula for an increase problem is:


Increase problems6
Increase Problems

The part equals 100% of the base plus some portion of the base.

Phrases such as after an increase of, more than, or greater than often indicate an increase problem.

The basic formula for an increase problem is:

Original value + Increase = New Value


Example 1
Example 1

Base Rate of Part

Inc. (after Inc.)

???? 20% $660

Base plus some portion of the base equals $660.


Base

????


Base

????

Amt. Of Increase


Base

????

Amt. Of Increase

20% of Base


Base

????

Amt. Of Increase

20% of Base

Sum of Base

and increase is

$660


Part Rate of Base

(after Inc.) Inc.

$660 20% ???

100% of Base + 20% of Base = $660



100% of Base + 20% of Base = $660

120% of Base = $660

R x B = P


100% of Base + 20% of Base = $660

120% of Base = $660

R x B = P

Hence, R = 120%

P = $660

B = ???


R x B = P

Hence, R = 120%

P = $660

B = ???

Thus,

P $660 $660

B = ----- = ---------- = ----------- = $550

R 120% 1.2

So if we take 100% of the base ($550) + 20% of the base ($110) we get $660 (part).


Decrease problems
Decrease Problems

The part equals 100% of the base minus some portion of the base.


Decrease problems1
Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of,


Decrease problems2
Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of, less than,


Decrease problems3
Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of, less than, or after a reduction of


Decrease problems4
Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.


Decrease problems5
Decrease Problems

The part equals 100% of the base minus some portion of the base.

Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.

The basic formula for a decrease problem is:


Decrease problems6
Decrease Problems

The part equals 100% of the base minus some portion of the base, yielding a new value.

Phrases such as after a decrease of, less than, or after a reduction of often indicate a decrease problem.

The basic formula for a decrease problem is:

Original Value - Decrease = New Value


Example 2

The sale price of a new Palm Pilot, after a 15% decrease, was $98.38. Find the price of the Palm Pilot before the decrease.


Example 2

Base Rate of Part

Dec. (after Dec.)

??? 15% $98.38

Base minus some portion of the base equals $98.38.



Price Paid = $98.38

(Part)

Amt. of Decrease


Price Paid = $98.38

(Part)

Amt. of Decrease

15% of Base


Price Paid = $98.38

(Part)

Amt. of Decrease

15% of Base

Orig. Price minus decrease = price paid


Base Rate of Part

Dec. (after Dec.)

??? 15% $98.38

100% of Base - 15% of Base = $98.38




85% of Base = $98.38

R x B = P

Hence, R = 85%

P = $98.38

B = ???


85% of Base = $98.38

R x B = P

Hence, R = 85%

P = $98.38

B = ???

Thus,

P $98.38 $98.38

B = ----- = ---------- = ----------- = $115.74

R 85% 0.85

So, if we take 100% of the base ($115.74) minus 15% of the base ($17.36) we get $98.38.



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