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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 9 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

Year 9 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 $400 to $500. Find the percentage increase.

Answer: 25%

  1. Change = 500 − 400 = 100
  2. 100 ÷ 400 × 100 = 25%
2.After a 20% increase, a price is $936. What was the original price?

Answer: $780

  1. New price = 120% of the original
  2. Original = 936 ÷ 1.2
  3. = $780
3.After a 60% decrease, a price is $280. What was the original price?

Answer: $700

  1. New price = 40% of the original
  2. Original = 280 ÷ 0.4
  3. = $700
4.A price changes from $360 to $306. Find the percentage decrease.

Answer: 15%

  1. Change = 360 − 306 = 54
  2. 54 ÷ 360 × 100 = 15%
5.After a 40% decrease, a price is $456. What was the original price?

Answer: $760

  1. New price = 60% of the original
  2. Original = 456 ÷ 0.6
  3. = $760
6.After a 15% decrease, a price is $612. What was the original price?

Answer: $720

  1. New price = 85% of the original
  2. Original = 612 ÷ 0.85
  3. = $720
7.A price changes from $560 to $728. Find the percentage increase.

Answer: 30%

  1. Change = 728 − 560 = 168
  2. 168 ÷ 560 × 100 = 30%
8.A price changes from $100 to $80. Find the percentage decrease.

Answer: 20%

  1. Change = 100 − 80 = 20
  2. 20 ÷ 100 × 100 = 20%
9.A price changes from $40 to $52. Find the percentage increase.

Answer: 30%

  1. Change = 52 − 40 = 12
  2. 12 ÷ 40 × 100 = 30%
10.A price changes from $320 to $560. Find the percentage increase.

Answer: 75%

  1. Change = 560 − 320 = 240
  2. 240 ÷ 320 × 100 = 75%
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