Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 percentages worksheet.
Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $540 to $135. Find the percentage decrease.
Answer: 75%
- Change = 540 − 135 = 405
- 405 ÷ 540 × 100 = 75%
2.After a 30% increase, a price is $468. What was the original price?
Answer: $360
- New price = 130% of the original
- Original = 468 ÷ 1.3
- = $360
3.After a 25% increase, a price is $625. What was the original price?
Answer: $500
- New price = 125% of the original
- Original = 625 ÷ 1.25
- = $500
4.A price changes from $240 to $144. Find the percentage decrease.
Answer: 40%
- Change = 240 − 144 = 96
- 96 ÷ 240 × 100 = 40%
5.After a 60% decrease, a price is $136. What was the original price?
Answer: $340
- New price = 40% of the original
- Original = 136 ÷ 0.4
- = $340
6.After a 30% increase, a price is $702. What was the original price?
Answer: $540
- New price = 130% of the original
- Original = 702 ÷ 1.3
- = $540
7.After a 20% increase, a price is $960. What was the original price?
Answer: $800
- New price = 120% of the original
- Original = 960 ÷ 1.2
- = $800
8.A price changes from $420 to $105. Find the percentage decrease.
Answer: 75%
- Change = 420 − 105 = 315
- 315 ÷ 420 × 100 = 75%
9.A price changes from $200 to $80. Find the percentage decrease.
Answer: 60%
- Change = 200 − 80 = 120
- 120 ÷ 200 × 100 = 60%
10.After a 15% decrease, a price is $289. What was the original price?
Answer: $340
- New price = 85% of the original
- Original = 289 ÷ 0.85
- = $340
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