Math: Percent Increase and Decrease Worksheet

Question 1

A backpack costs $40. The price increases by 15%. What is the new price?

Accepted Answer

The increase is 15% of $40, which is $6. The new price is $40 + $6 = $46.

Question 2

A video game originally costs $60. It is on sale for 25% off. What is the sale price?

Accepted Answer

The discount is 25% of $60, which is $15. The sale price is $60 - $15 = $45.

Question 3

A school club had 80 members last year. This year it has 100 members. What is the percent increase?

Accepted Answer

The increase is 100 - 80 = 20 members. The percent increase is 20 divided by 80, which equals 0.25 or 25%.

Question 4

A plant was 50 centimeters tall. After a week without enough water, it was 45 centimeters tall. What is the percent decrease?

Accepted Answer

The decrease is 50 - 45 = 5 centimeters. The percent decrease is 5 divided by 50, which equals 0.10 or 10%.

Question 5

The population of a town increased from 12,000 to 13,800. What was the percent increase?

Accepted Answer

The increase is 13,800 - 12,000 = 1,800 people. The percent increase is 1,800 divided by 12,000, which equals 0.15 or 15%.

Question 6

A jacket costs $75. During a sale, the price is decreased by 20%. What is the sale price?

Accepted Answer

The discount is 20% of $75, which is $15. The sale price is $75 - $15 = $60.

Question 7

A phone battery charge increased from 30% to 75%. What is the percent increase based on the original charge?

Accepted Answer

The increase is 75 - 30 = 45 percentage points. The percent increase is 45 divided by 30, which equals 1.5 or 150%.

Question 8

A recipe uses 2 cups of flour. A baker increases the recipe by 50%. How many cups of flour are needed now?

Accepted Answer

The increase is 50% of 2 cups, which is 1 cup. The new amount is 2 + 1 = 3 cups of flour.

Question 9

A bike was priced at $240. After a discount, it costs $180. What is the percent decrease?

Accepted Answer

The decrease is $240 - $180 = $60. The percent decrease is 60 divided by 240, which equals 0.25 or 25%.

Question 10

A test score increased from 72 points to 90 points. What is the percent increase?

Accepted Answer

The increase is 90 - 72 = 18 points. The percent increase is 18 divided by 72, which equals 0.25 or 25%.

Question 11

A sweater is on sale for 30% off. The original price is $50. A student says the sale price is $35. Is the student correct? Explain.

Accepted Answer

The student is correct. The discount is 30% of $50, which is $15, and $50 - $15 = $35.

Question 12

A movie theater sold 320 tickets on Friday and 400 tickets on Saturday. What was the percent increase in tickets sold?

Accepted Answer

The increase is 400 - 320 = 80 tickets. The percent increase is 80 divided by 320, which equals 0.25 or 25%.

Question 13

A number is decreased by 10%. The original number is 150. What is the new number?

Accepted Answer

The decrease is 10% of 150, which is 15. The new number is 150 - 15 = 135.

Question 14

The price of a concert ticket increased by 12%. The original price was $85. What is the new price?

Accepted Answer

The increase is 12% of $85, which is $10.20. The new price is $85 + $10.20 = $95.20.

Question 15

A class had 28 students. After several students moved away, the class had 21 students. What was the percent decrease?

Accepted Answer

The decrease is 28 - 21 = 7 students. The percent decrease is 7 divided by 28, which equals 0.25 or 25%.

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