8th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 8th Grade percentages worksheet.
8th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.After a 30% increase, a price is $598. What was the original price?
Answer: $460
- New price = 130% of the original
- Original = 598 ÷ 1.3
- = $460
2.A price changes from $240 to $144. Find the percentage decrease.
Answer: 40%
- Change = 240 − 144 = 96
- 96 ÷ 240 × 100 = 40%
3.A price changes from $560 to $420. Find the percentage decrease.
Answer: 25%
- Change = 560 − 420 = 140
- 140 ÷ 560 × 100 = 25%
4.A price changes from $760 to $722. Find the percentage decrease.
Answer: 5%
- Change = 760 − 722 = 38
- 38 ÷ 760 × 100 = 5%
5.A price changes from $640 to $576. Find the percentage decrease.
Answer: 10%
- Change = 640 − 576 = 64
- 64 ÷ 640 × 100 = 10%
6.After a 60% decrease, a price is $208. What was the original price?
Answer: $520
- New price = 40% of the original
- Original = 208 ÷ 0.4
- = $520
7.After a 75% increase, a price is $805. What was the original price?
Answer: $460
- New price = 175% of the original
- Original = 805 ÷ 1.75
- = $460
8.A price changes from $760 to $798. Find the percentage increase.
Answer: 5%
- Change = 798 − 760 = 38
- 38 ÷ 760 × 100 = 5%
9.After a 30% increase, a price is $780. What was the original price?
Answer: $600
- New price = 130% of the original
- Original = 780 ÷ 1.3
- = $600
10.A price changes from $160 to $152. Find the percentage decrease.
Answer: 5%
- Change = 160 − 152 = 8
- 8 ÷ 160 × 100 = 5%
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