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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.A price changes from $380 to $418. Find the percentage increase.

Answer: 10%

  1. Change = 418 − 380 = 38
  2. 38 ÷ 380 × 100 = 10%
2.After a 5% decrease, a price is $589. What was the original price?

Answer: $620

  1. New price = 95% of the original
  2. Original = 589 ÷ 0.95
  3. = $620
3.After a 10% decrease, a price is $594. What was the original price?

Answer: $660

  1. New price = 90% of the original
  2. Original = 594 ÷ 0.9
  3. = $660
4.A price changes from $420 to $525. Find the percentage increase.

Answer: 25%

  1. Change = 525 − 420 = 105
  2. 105 ÷ 420 × 100 = 25%
5.A price changes from $140 to $56. Find the percentage decrease.

Answer: 60%

  1. Change = 140 − 56 = 84
  2. 84 ÷ 140 × 100 = 60%
6.A price changes from $40 to $36. Find the percentage decrease.

Answer: 10%

  1. Change = 40 − 36 = 4
  2. 4 ÷ 40 × 100 = 10%
7.After a 20% increase, a price is $840. What was the original price?

Answer: $700

  1. New price = 120% of the original
  2. Original = 840 ÷ 1.2
  3. = $700
8.A price changes from $540 to $405. Find the percentage decrease.

Answer: 25%

  1. Change = 540 − 405 = 135
  2. 135 ÷ 540 × 100 = 25%
9.A price changes from $520 to $910. Find the percentage increase.

Answer: 75%

  1. Change = 910 − 520 = 390
  2. 390 ÷ 520 × 100 = 75%
10.After a 5% increase, a price is $588. What was the original price?

Answer: $560

  1. New price = 105% of the original
  2. Original = 588 ÷ 1.05
  3. = $560
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