Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 percentages worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · PercentagesYear 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $260 to $182. Find the percentage decrease.
Answer: 30%
- Change = 260 − 182 = 78
- 78 ÷ 260 × 100 = 30%
2.A price changes from $320 to $128. Find the percentage decrease.
Answer: 60%
- Change = 320 − 128 = 192
- 192 ÷ 320 × 100 = 60%
3.After a 60% increase, a price is $1088. What was the original price?
Answer: $680
- New price = 160% of the original
- Original = 1088 ÷ 1.6
- = $680
4.After a 30% increase, a price is $182. What was the original price?
Answer: $140
- New price = 130% of the original
- Original = 182 ÷ 1.3
- = $140
5.After a 30% increase, a price is $728. What was the original price?
Answer: $560
- New price = 130% of the original
- Original = 728 ÷ 1.3
- = $560
6.A price changes from $680 to $476. Find the percentage decrease.
Answer: 30%
- Change = 680 − 476 = 204
- 204 ÷ 680 × 100 = 30%
7.After a 30% decrease, a price is $126. What was the original price?
Answer: $180
- New price = 70% of the original
- Original = 126 ÷ 0.7
- = $180
8.After a 30% decrease, a price is $420. What was the original price?
Answer: $600
- New price = 70% of the original
- Original = 420 ÷ 0.7
- = $600
9.After a 5% increase, a price is $105. What was the original price?
Answer: $100
- New price = 105% of the original
- Original = 105 ÷ 1.05
- = $100
10.A price changes from $460 to $322. Find the percentage decrease.
Answer: 30%
- Change = 460 − 322 = 138
- 138 ÷ 460 × 100 = 30%
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