Year 11 Percentage Increase and Decrease Worksheet — Level 3 — 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 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $440 to $484. Find the percentage increase.
Answer: 10%
- Change = 484 − 440 = 44
- 44 ÷ 440 × 100 = 10%
2.A price changes from $600 to $630. Find the percentage increase.
Answer: 5%
- Change = 630 − 600 = 30
- 30 ÷ 600 × 100 = 5%
3.A price changes from $380 to $532. Find the percentage increase.
Answer: 40%
- Change = 532 − 380 = 152
- 152 ÷ 380 × 100 = 40%
4.After a 75% decrease, a price is $30. What was the original price?
Answer: $120
- New price = 25% of the original
- Original = 30 ÷ 0.25
- = $120
5.A price changes from $800 to $760. Find the percentage decrease.
Answer: 5%
- Change = 800 − 760 = 40
- 40 ÷ 800 × 100 = 5%
6.After a 30% decrease, a price is $210. What was the original price?
Answer: $300
- New price = 70% of the original
- Original = 210 ÷ 0.7
- = $300
7.A price changes from $60 to $72. Find the percentage increase.
Answer: 20%
- Change = 72 − 60 = 12
- 12 ÷ 60 × 100 = 20%
8.A price changes from $220 to $308. Find the percentage increase.
Answer: 40%
- Change = 308 − 220 = 88
- 88 ÷ 220 × 100 = 40%
9.After a 60% decrease, a price is $168. What was the original price?
Answer: $420
- New price = 40% of the original
- Original = 168 ÷ 0.4
- = $420
10.After a 10% increase, a price is $836. What was the original price?
Answer: $760
- New price = 110% of the original
- Original = 836 ÷ 1.1
- = $760
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