Year 11 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 percentages worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · PercentagesYear 11 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 $740 to $814. Find the percentage increase.
Answer: 10%
- Change = 814 − 740 = 74
- 74 ÷ 740 × 100 = 10%
2.After a 60% increase, a price is $672. What was the original price?
Answer: $420
- New price = 160% of the original
- Original = 672 ÷ 1.6
- = $420
3.A price changes from $100 to $140. Find the percentage increase.
Answer: 40%
- Change = 140 − 100 = 40
- 40 ÷ 100 × 100 = 40%
4.After a 15% increase, a price is $851. What was the original price?
Answer: $740
- New price = 115% of the original
- Original = 851 ÷ 1.15
- = $740
5.A price changes from $560 to $784. Find the percentage increase.
Answer: 40%
- Change = 784 − 560 = 224
- 224 ÷ 560 × 100 = 40%
6.After a 30% increase, a price is $1040. What was the original price?
Answer: $800
- New price = 130% of the original
- Original = 1040 ÷ 1.3
- = $800
7.A price changes from $660 to $1056. Find the percentage increase.
Answer: 60%
- Change = 1056 − 660 = 396
- 396 ÷ 660 × 100 = 60%
8.After a 10% increase, a price is $748. What was the original price?
Answer: $680
- New price = 110% of the original
- Original = 748 ÷ 1.1
- = $680
9.After a 60% increase, a price is $576. What was the original price?
Answer: $360
- New price = 160% of the original
- Original = 576 ÷ 1.6
- = $360
10.A price changes from $580 to $522. Find the percentage decrease.
Answer: 10%
- Change = 580 − 522 = 58
- 58 ÷ 580 × 100 = 10%
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