# FINDING PERCENT INCREASE OR DECREASE WORKSHEET

Finding percent increase or decrease worksheet :

Worksheet given in this section will be much useful for the students who would like to practice solving problems on percent increase or decrease.

## Finding Percent Increase or Decrease Worksheet - Problems

Problem 1 :

What is the percent increase from 5 to 8 ?

Problem 2 :

What is the percent decrease from  16 to 12.8 ?

Problem 3 :

A pair of shoes was originally priced \$80. But a discount was given and it was sold for \$74. Find the discount percent ?

Problem 4 :

In a class, there were 20 boys and 15 girls in the last academic year. After 5 new boys are admitted in this academic year, the strength of the class becomes 43. Find the percentage increase in the number of girls in this academic year.

Problem 5 :

In the two quantities x and y, if x is increased by 10% and y is increased by 20%, what percentage of (x + y) will be increased ? ## Finding percent increase or decrease worksheet - Solution

Problem 1 :

What is the percent increase from 5 to 8 ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

Amount of change  =  8 - 5

Amount of change  =  3

Step 2 :

Percentage change is

=  (Amount of change / Original amount)  100 %

=  (3 / 5)  100%

=  0.6 100 %

=  60 %

So, the percent increase from 5 to 8 is 60%.

Problem 2 :

What is the percent decrease from  16 to 12.8 ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

Amount of change  =  16 - 12.8

Amount of change  =  3.2

Step 2 :

Percentage change is

=  (Amount of change / Original amount)  100 %

=  (3.2 / 16)  100%

=  20%

So, the percent decrease from 16 to 12.8 is 20%.

Problem 3 :

A pair of shoes was originally priced \$80. But a discount was given and it was sold for \$74. Find the discount percent ?

Solution :

Step 1 :

Find the actual discount :

Discount  =  80 - 74

Discount  =  \$16

Step 2 :

Discount percent is

=  (Discount / Original price) ⋅ 100 %

=  (16 / 80) ⋅ 100 %

=  (1 / 5) ⋅ 100 %

=  20%

So, the discount percent is 20.

Problem 4 :

In a class, there were 20 boys and 15 girls in the last academic year. After 5 new boys are admitted in this academic year, the strength of the class becomes 43. Find the percentage increase in the number of girls in this academic year.

Solution :

Details of students strength in the last academic year :

No. of boys  =  20

No. of girls  =  15

Total  =  35

Details of students strength in this academic year :

No. of boys  =  20 + 5  =  25

Total  =  43

No. of girls  =  43 - 25  =  18

=  No. of girls in this year - No. of girls in the last year

=  18 - 15

=  3

Percentage increase in the number of girls is

=  (3 / 15)  100 %

=  (1 / 5)  100%

=  20%

So, the percentage increase in the number of girls in this academic year is 20.

Problem 5 :

In the two quantities x and y, if x is increased by 10% and y is increased by 20%, what percentage of (x + y) will be increased ?

Solution :

Let the values of x and y be 100 each.

Then, the sum of x and y is

x + y  =  200

After x is increased by 10% and y is increased by 20%, the sum is

1.1x + 1.2y  =  1.1(100) + (1.2)100

1.1x + 1.2y  =  110 + 120

1.1x + 1.2y  =  230

Amount of change is

=  230 -  200

=  30

Percentage increase of (x + y) is

=  (30 / 200) ⋅ 100 %

=  15%

So, (x + y) will be increased by 15 percentage. After having gone through the stuff given above, we hope that the students would have understood, how to solve problems on percent increase or decrease

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