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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

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

1.After a 40% decrease, a price is $156. What was the original price?

Answer: $260

  1. New price = 60% of the original
  2. Original = 156 ÷ 0.6
  3. = $260
2.After a 25% increase, a price is $675. What was the original price?

Answer: $540

  1. New price = 125% of the original
  2. Original = 675 ÷ 1.25
  3. = $540
3.After a 40% increase, a price is $560. What was the original price?

Answer: $400

  1. New price = 140% of the original
  2. Original = 560 ÷ 1.4
  3. = $400
4.A price changes from $160 to $200. Find the percentage increase.

Answer: 25%

  1. Change = 200 − 160 = 40
  2. 40 ÷ 160 × 100 = 25%
5.A price changes from $400 to $360. Find the percentage decrease.

Answer: 10%

  1. Change = 400 − 360 = 40
  2. 40 ÷ 400 × 100 = 10%
6.A price changes from $720 to $792. Find the percentage increase.

Answer: 10%

  1. Change = 792 − 720 = 72
  2. 72 ÷ 720 × 100 = 10%
7.After a 30% decrease, a price is $182. What was the original price?

Answer: $260

  1. New price = 70% of the original
  2. Original = 182 ÷ 0.7
  3. = $260
8.A price changes from $680 to $952. Find the percentage increase.

Answer: 40%

  1. Change = 952 − 680 = 272
  2. 272 ÷ 680 × 100 = 40%
9.A price changes from $600 to $780. Find the percentage increase.

Answer: 30%

  1. Change = 780 − 600 = 180
  2. 180 ÷ 600 × 100 = 30%
10.After a 5% decrease, a price is $741. What was the original price?

Answer: $780

  1. New price = 95% of the original
  2. Original = 741 ÷ 0.95
  3. = $780
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