Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 percentages worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · PercentagesYear 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $220 to $132. Find the percentage decrease.
Answer: 40%
- Change = 220 − 132 = 88
- 88 ÷ 220 × 100 = 40%
2.After a 30% increase, a price is $208. What was the original price?
Answer: $160
- New price = 130% of the original
- Original = 208 ÷ 1.3
- = $160
3.After a 25% decrease, a price is $450. What was the original price?
Answer: $600
- New price = 75% of the original
- Original = 450 ÷ 0.75
- = $600
4.After a 25% increase, a price is $550. What was the original price?
Answer: $440
- New price = 125% of the original
- Original = 550 ÷ 1.25
- = $440
5.After a 30% decrease, a price is $28. What was the original price?
Answer: $40
- New price = 70% of the original
- Original = 28 ÷ 0.7
- = $40
6.A price changes from $460 to $368. Find the percentage decrease.
Answer: 20%
- Change = 460 − 368 = 92
- 92 ÷ 460 × 100 = 20%
7.A price changes from $600 to $660. Find the percentage increase.
Answer: 10%
- Change = 660 − 600 = 60
- 60 ÷ 600 × 100 = 10%
8.After a 60% decrease, a price is $128. What was the original price?
Answer: $320
- New price = 40% of the original
- Original = 128 ÷ 0.4
- = $320
9.After a 60% increase, a price is $64. What was the original price?
Answer: $40
- New price = 160% of the original
- Original = 64 ÷ 1.6
- = $40
10.A price changes from $380 to $494. Find the percentage increase.
Answer: 30%
- Change = 494 − 380 = 114
- 114 ÷ 380 × 100 = 30%
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