PERCENT INCREASE AND DECREASE WORKSHEET

Problem 1 :

Find the percent change from 25 to 49.

Problem 2 :

Find the percent change from 50 to 45.

Problem 3 :

Find the result when 30 is increased by 20%.

Problem 4 :

Find the result when 65 is decreased by 80%.

Problem 5 :

When a number is increased by 25%, it becomes 75. Find the number.

Problem 6 :

Admission to the museum is $8. Students receive a 15% discount. How much is the discount? How much do students pay?

Problem 7 :

Christo used a coupon and paid $7.35 for a pizza that normally costs $10.50. Find the percent discount.

Problem 8 :

Jacob buys necklaces at a wholesale cost of $48 each. He then marks up the price by 75% and sells the necklaces. What is the amount of the markup? What is the selling price?

Problem 9 :

Lars purchased a daily planner for $32. The wholesale cost was $25. What was the percent markup?

Problem 10 :

A car has a 130% markup. The selling price is $21850. What is the wholesale cost?

1. Answer :

25 to 49 is an increase,

percent change = (increase/original amount) x 100%

= [(49 - 25)/25] x 100%

= (24/25) x 100%

= 0.96 x 100%

= 96%

Percent change from 25 to 49 is a 96% increase.

2. Answer :

50 to 45 is a decrease,

percent change = (decrease/original amount) x 100%

= [(50 - 45)/50] x 100%

= (5/50) x 100%

= (1/10) x 100%

= 0.1 x 100% 

= 10%

Percent change from 50 to 45 is a 10% decrease.

3. Answer :

When 30 is increased by 20%, the resulting number is

= (100 + 20)% of 30

= 120% of 30

= (120/100) x 30

= 1.2 x 30

= 36

30 increased by 20% is 36.

4. Answer :

When 65 is decreased by 80%, the resulting number is

= (100 - 80)% of 65

 = 20% of 65

= (20/100) x 65

= 0.2 x 65

= 13

65 decreased by 80% is 13.

5. Answer :

Let n be the number.

When n is increased by 25%, it becomes 75.

(100 + 25%) of n = 75

125% of n = 75

(125/100) x n = 75

1.25n = 75

Divide both sides by 1.25.

n = 60

Therefore, the number is 60.

6. Answer :

Subtract percent discount from 100%.

100% - 15% = 85%

Students pay 85% of the regular price, $8.

Find 85% of 8, this is the student price.

0.85(8) = 6.80

Subtract 6.80 from 8. This is the amount of the discount.

8 - 6.80 = 1.20

The discount is $1.20 and students pay $6.80.

7. Answer :

Amount of discount : 

$10.50 - $7.35 = $3.15

Think : 3.15 is what percent of 10.50?

Let x represent the percent.

3.15 = x(10.50)

Because x is multiplied by 10.50, divide each side by 10.50 to undo the multiplication.

3.15/10.50 = 10.50x/10.50

0.3 = x

Multiply 0.3 by 100 to convert it to a percent. 

0.3 ⋅ 100% = x

30% = x

The discount is 30%.

8. Answer :

Add percent markup to 100%.

100% + 75% = 175%

The selling price is 175% of the wholesale price, $48.

Find 175% of 48. This is the selling price.

1.75(48) = 84

Subtract from 84. This is the amount of the markup.

84 - 48 = 36

By either method, the amount of the markup is $36. The selling price is $84.

9. Answer :

Find the amount of the markup.

32 - 25 = 7

Think: 7 is what percent of 25? Let x represent the percent.

7 = x(25)

Because x is multiplied by 25, divide each side by 25 to undo the multiplication.

7/25 = 25x/25

0.28 = x

Multiply 0.28 by 100 to convert it to a decimal. 

0.28 ⋅ 100% = x

28% = x

The markup was 28%.

10. Answer :

Let x be the wholesale cost of the car.

Add percent markup to 100%.

100% + 130% = 230%

The selling price is 230% of the wholesale price x.

Find 230% of x. This is the selling price.

230% of x = 2.3x

Given : The selling price is $21850

2.3x = 21850

Divide each side by 2.3.

x = 9500

The wholesale cost is $9500.

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