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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.After a 60% decrease, a price is $24. What was the original price?

Answer: $60

  1. New price = 40% of the original
  2. Original = 24 ÷ 0.4
  3. = $60
2.A price changes from $800 to $560. Find the percentage decrease.

Answer: 30%

  1. Change = 800 − 560 = 240
  2. 240 ÷ 800 × 100 = 30%
3.A price changes from $220 to $253. Find the percentage increase.

Answer: 15%

  1. Change = 253 − 220 = 33
  2. 33 ÷ 220 × 100 = 15%
4.After a 20% decrease, a price is $128. What was the original price?

Answer: $160

  1. New price = 80% of the original
  2. Original = 128 ÷ 0.8
  3. = $160
5.After a 30% decrease, a price is $28. What was the original price?

Answer: $40

  1. New price = 70% of the original
  2. Original = 28 ÷ 0.7
  3. = $40
6.A price changes from $540 to $594. Find the percentage increase.

Answer: 10%

  1. Change = 594 − 540 = 54
  2. 54 ÷ 540 × 100 = 10%
7.A price changes from $120 to $138. Find the percentage increase.

Answer: 15%

  1. Change = 138 − 120 = 18
  2. 18 ÷ 120 × 100 = 15%
8.After a 25% increase, a price is $825. What was the original price?

Answer: $660

  1. New price = 125% of the original
  2. Original = 825 ÷ 1.25
  3. = $660
9.After a 25% increase, a price is $725. What was the original price?

Answer: $580

  1. New price = 125% of the original
  2. Original = 725 ÷ 1.25
  3. = $580
10.A price changes from $460 to $736. Find the percentage increase.

Answer: 60%

  1. Change = 736 − 460 = 276
  2. 276 ÷ 460 × 100 = 60%
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