Problems

Percentage Problems With Answers

Practice percentage problems with answers, including easy, medium, word, and challenge questions.

Easy Problems

#Problem
1Find 10% of 70.
2Find 50% of 84.
3Find 25% of 120.
4Find 20% of 95.
5Find 5% of 400.

Medium Problems

#Problem
618 is what percent of 90?
742 is what percent of 56?
832 is 40% of what number?
954 is 30% of what number?
10Find 12.5% of 240.

Word Problems

#Problem
11A bike costs 300 and has a 15% discount. What is the discount?
12A student scores 27 out of 30. What percent is that?
13A price rises from 80 to 100. What is the percentage increase?
14A price falls from 200 to 150. What is the percentage decrease?
15A team wins 18 of 24 games. What percent did it win?

Challenge Problems

#Problem
16A number increases by 20% to become 96. What was the original number?
17A sale price is 68 after a 15% discount. What was the original price?
18A value decreases by 30% to become 210. What was the original value?
19A class completes 35% of a 480-question review set. How many questions are complete?
20A savings balance grows from 750 to 900. What is the percentage increase?

Answer Key

#Answer
17
242
330
419
520
620%
775%
880
9180
1030
1145
1290%
1325%
1425%
1575%
1680
1780
18300
19168
2020%

Step-by-Step Solutions

Problem 16: If the original number is x, then x + 20% of x = 96. That is 1.2x = 96, so x = 80.

Problem 17: A 15% discount means the sale price is 85% of the original price. Use 68 / 0.85 = 80.

Problem 20: The increase is 150. Use (150 / 750) x 100 = 20%.