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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers

Percentage change = change ÷ original amount × 100. Always divide by the original amount.

1.A price changes from $500 to $550. Find the percentage increase.

Answer: 10%

  1. Change = 550 − 500 = 50
  2. 50 ÷ 500 × 100 = 10%
2.A price changes from $540 to $675. Find the percentage increase.

Answer: 25%

  1. Change = 675 − 540 = 135
  2. 135 ÷ 540 × 100 = 25%
3.After a 25% decrease, a price is $495. What was the original price?

Answer: $660

  1. New price = 75% of the original
  2. Original = 495 ÷ 0.75
  3. = $660
4.A price changes from $400 to $300. Find the percentage decrease.

Answer: 25%

  1. Change = 400 − 300 = 100
  2. 100 ÷ 400 × 100 = 25%
5.A price changes from $720 to $612. Find the percentage decrease.

Answer: 15%

  1. Change = 720 − 612 = 108
  2. 108 ÷ 720 × 100 = 15%
6.A price changes from $380 to $95. Find the percentage decrease.

Answer: 75%

  1. Change = 380 − 95 = 285
  2. 285 ÷ 380 × 100 = 75%
7.A price changes from $380 to $285. Find the percentage decrease.

Answer: 25%

  1. Change = 380 − 285 = 95
  2. 95 ÷ 380 × 100 = 25%
8.After a 40% decrease, a price is $300. What was the original price?

Answer: $500

  1. New price = 60% of the original
  2. Original = 300 ÷ 0.6
  3. = $500
9.A price changes from $180 to $207. Find the percentage increase.

Answer: 15%

  1. Change = 207 − 180 = 27
  2. 27 ÷ 180 × 100 = 15%
10.A price changes from $120 to $102. Find the percentage decrease.

Answer: 15%

  1. Change = 120 − 102 = 18
  2. 18 ÷ 120 × 100 = 15%
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