Year 7 Percentage Increase and Decrease Worksheet — Level 3 — 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 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $240 to $252. Find the percentage increase.
Answer: 5%
- Change = 252 − 240 = 12
- 12 ÷ 240 × 100 = 5%
2.A price changes from $200 to $180. Find the percentage decrease.
Answer: 10%
- Change = 200 − 180 = 20
- 20 ÷ 200 × 100 = 10%
3.After a 20% decrease, a price is $416. What was the original price?
Answer: $520
- New price = 80% of the original
- Original = 416 ÷ 0.8
- = $520
4.A price changes from $800 to $680. Find the percentage decrease.
Answer: 15%
- Change = 800 − 680 = 120
- 120 ÷ 800 × 100 = 15%
5.A price changes from $780 to $936. Find the percentage increase.
Answer: 20%
- Change = 936 − 780 = 156
- 156 ÷ 780 × 100 = 20%
6.A price changes from $640 to $800. Find the percentage increase.
Answer: 25%
- Change = 800 − 640 = 160
- 160 ÷ 640 × 100 = 25%
7.After a 5% decrease, a price is $418. What was the original price?
Answer: $440
- New price = 95% of the original
- Original = 418 ÷ 0.95
- = $440
8.After a 5% decrease, a price is $38. What was the original price?
Answer: $40
- New price = 95% of the original
- Original = 38 ÷ 0.95
- = $40
9.After a 40% decrease, a price is $300. What was the original price?
Answer: $500
- New price = 60% of the original
- Original = 300 ÷ 0.6
- = $500
10.A price changes from $40 to $34. Find the percentage decrease.
Answer: 15%
- Change = 40 − 34 = 6
- 6 ÷ 40 × 100 = 15%
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