10th Grade Percentage Increase and Decrease Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 10th Grade percentages worksheet.
10th Grade Percentage Increase and Decrease Worksheet — Level 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.After a 60% increase, a price is $544. What was the original price?
Answer: $340
- New price = 160% of the original
- Original = 544 ÷ 1.6
- = $340
2.A price changes from $800 to $920. Find the percentage increase.
Answer: 15%
- Change = 920 − 800 = 120
- 120 ÷ 800 × 100 = 15%
3.After a 10% decrease, a price is $36. What was the original price?
Answer: $40
- New price = 90% of the original
- Original = 36 ÷ 0.9
- = $40
4.A price changes from $780 to $468. Find the percentage decrease.
Answer: 40%
- Change = 780 − 468 = 312
- 312 ÷ 780 × 100 = 40%
5.A price changes from $240 to $192. Find the percentage decrease.
Answer: 20%
- Change = 240 − 192 = 48
- 48 ÷ 240 × 100 = 20%
6.After a 20% decrease, a price is $352. What was the original price?
Answer: $440
- New price = 80% of the original
- Original = 352 ÷ 0.8
- = $440
7.A price changes from $680 to $850. Find the percentage increase.
Answer: 25%
- Change = 850 − 680 = 170
- 170 ÷ 680 × 100 = 25%
8.A price changes from $800 to $896. Find the percentage increase.
Answer: 12%
- Change = 896 − 800 = 96
- 96 ÷ 800 × 100 = 12%
9.A price changes from $760 to $456. Find the percentage decrease.
Answer: 40%
- Change = 760 − 456 = 304
- 304 ÷ 760 × 100 = 40%
10.After a 15% decrease, a price is $663. What was the original price?
Answer: $780
- New price = 85% of the original
- Original = 663 ÷ 0.85
- = $780
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