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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — 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 — Answers

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

1.A price changes from $200 to $280. Find the percentage increase.

Answer: 40%

  1. Change = 280 − 200 = 80
  2. 80 ÷ 200 × 100 = 40%
2.After a 15% increase, a price is $230. What was the original price?

Answer: $200

  1. New price = 115% of the original
  2. Original = 230 ÷ 1.15
  3. = $200
3.A price changes from $560 to $644. Find the percentage increase.

Answer: 15%

  1. Change = 644 − 560 = 84
  2. 84 ÷ 560 × 100 = 15%
4.After a 20% increase, a price is $240. What was the original price?

Answer: $200

  1. New price = 120% of the original
  2. Original = 240 ÷ 1.2
  3. = $200
5.After a 75% decrease, a price is $140. What was the original price?

Answer: $560

  1. New price = 25% of the original
  2. Original = 140 ÷ 0.25
  3. = $560
6.After a 15% increase, a price is $805. What was the original price?

Answer: $700

  1. New price = 115% of the original
  2. Original = 805 ÷ 1.15
  3. = $700
7.A price changes from $700 to $525. Find the percentage decrease.

Answer: 25%

  1. Change = 700 − 525 = 175
  2. 175 ÷ 700 × 100 = 25%
8.After a 20% decrease, a price is $416. What was the original price?

Answer: $520

  1. New price = 80% of the original
  2. Original = 416 ÷ 0.8
  3. = $520
9.After a 40% increase, a price is $896. What was the original price?

Answer: $640

  1. New price = 140% of the original
  2. Original = 896 ÷ 1.4
  3. = $640
10.A price changes from $440 to $308. Find the percentage decrease.

Answer: 30%

  1. Change = 440 − 308 = 132
  2. 132 ÷ 440 × 100 = 30%
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