Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 percentages worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · PercentagesYear 8 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 12% increase, a price is $784. What was the original price?
Answer: $700
- New price = 112% of the original
- Original = 784 ÷ 1.12
- = $700
2.A price changes from $80 to $96. Find the percentage increase.
Answer: 20%
- Change = 96 − 80 = 16
- 16 ÷ 80 × 100 = 20%
3.After a 75% decrease, a price is $40. What was the original price?
Answer: $160
- New price = 25% of the original
- Original = 40 ÷ 0.25
- = $160
4.After a 15% increase, a price is $184. What was the original price?
Answer: $160
- New price = 115% of the original
- Original = 184 ÷ 1.15
- = $160
5.A price changes from $740 to $777. Find the percentage increase.
Answer: 5%
- Change = 777 − 740 = 37
- 37 ÷ 740 × 100 = 5%
6.After a 40% increase, a price is $112. What was the original price?
Answer: $80
- New price = 140% of the original
- Original = 112 ÷ 1.4
- = $80
7.A price changes from $280 to $196. Find the percentage decrease.
Answer: 30%
- Change = 280 − 196 = 84
- 84 ÷ 280 × 100 = 30%
8.A price changes from $600 to $570. Find the percentage decrease.
Answer: 5%
- Change = 600 − 570 = 30
- 30 ÷ 600 × 100 = 5%
9.A price changes from $600 to $780. Find the percentage increase.
Answer: 30%
- Change = 780 − 600 = 180
- 180 ÷ 600 × 100 = 30%
10.A price changes from $560 to $644. Find the percentage increase.
Answer: 15%
- Change = 644 − 560 = 84
- 84 ÷ 560 × 100 = 15%
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