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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 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 $220 to $187. Find the percentage decrease.

Answer: 15%

  1. Change = 220 − 187 = 33
  2. 33 ÷ 220 × 100 = 15%
2.A price changes from $680 to $544. Find the percentage decrease.

Answer: 20%

  1. Change = 680 − 544 = 136
  2. 136 ÷ 680 × 100 = 20%
3.A price changes from $120 to $114. Find the percentage decrease.

Answer: 5%

  1. Change = 120 − 114 = 6
  2. 6 ÷ 120 × 100 = 5%
4.After a 75% increase, a price is $385. What was the original price?

Answer: $220

  1. New price = 175% of the original
  2. Original = 385 ÷ 1.75
  3. = $220
5.A price changes from $120 to $102. Find the percentage decrease.

Answer: 15%

  1. Change = 120 − 102 = 18
  2. 18 ÷ 120 × 100 = 15%
6.A price changes from $260 to $416. Find the percentage increase.

Answer: 60%

  1. Change = 416 − 260 = 156
  2. 156 ÷ 260 × 100 = 60%
7.A price changes from $360 to $324. Find the percentage decrease.

Answer: 10%

  1. Change = 360 − 324 = 36
  2. 36 ÷ 360 × 100 = 10%
8.A price changes from $460 to $368. Find the percentage decrease.

Answer: 20%

  1. Change = 460 − 368 = 92
  2. 92 ÷ 460 × 100 = 20%
9.After a 15% decrease, a price is $680. What was the original price?

Answer: $800

  1. New price = 85% of the original
  2. Original = 680 ÷ 0.85
  3. = $800
10.A price changes from $340 to $374. Find the percentage increase.

Answer: 10%

  1. Change = 374 − 340 = 34
  2. 34 ÷ 340 × 100 = 10%
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