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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 $660 to $528. Find the percentage decrease.

Answer: 20%

  1. Change = 660 − 528 = 132
  2. 132 ÷ 660 × 100 = 20%
2.After a 40% decrease, a price is $216. What was the original price?

Answer: $360

  1. New price = 60% of the original
  2. Original = 216 ÷ 0.6
  3. = $360
3.After a 20% increase, a price is $72. What was the original price?

Answer: $60

  1. New price = 120% of the original
  2. Original = 72 ÷ 1.2
  3. = $60
4.After a 25% decrease, a price is $270. What was the original price?

Answer: $360

  1. New price = 75% of the original
  2. Original = 270 ÷ 0.75
  3. = $360
5.A price changes from $280 to $168. Find the percentage decrease.

Answer: 40%

  1. Change = 280 − 168 = 112
  2. 112 ÷ 280 × 100 = 40%
6.A price changes from $300 to $330. Find the percentage increase.

Answer: 10%

  1. Change = 330 − 300 = 30
  2. 30 ÷ 300 × 100 = 10%
7.After a 30% decrease, a price is $322. What was the original price?

Answer: $460

  1. New price = 70% of the original
  2. Original = 322 ÷ 0.7
  3. = $460
8.A price changes from $620 to $682. Find the percentage increase.

Answer: 10%

  1. Change = 682 − 620 = 62
  2. 62 ÷ 620 × 100 = 10%
9.After a 5% increase, a price is $756. What was the original price?

Answer: $720

  1. New price = 105% of the original
  2. Original = 756 ÷ 1.05
  3. = $720
10.A price changes from $440 to $506. Find the percentage increase.

Answer: 15%

  1. Change = 506 − 440 = 66
  2. 66 ÷ 440 × 100 = 15%
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