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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

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

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

1.A price changes from $100 to $25. Find the percentage decrease.

Answer: 75%

  1. Change = 100 − 25 = 75
  2. 75 ÷ 100 × 100 = 75%
2.After a 40% decrease, a price is $288. What was the original price?

Answer: $480

  1. New price = 60% of the original
  2. Original = 288 ÷ 0.6
  3. = $480
3.After a 30% decrease, a price is $224. What was the original price?

Answer: $320

  1. New price = 70% of the original
  2. Original = 224 ÷ 0.7
  3. = $320
4.A price changes from $100 to $120. Find the percentage increase.

Answer: 20%

  1. Change = 120 − 100 = 20
  2. 20 ÷ 100 × 100 = 20%
5.A price changes from $580 to $696. Find the percentage increase.

Answer: 20%

  1. Change = 696 − 580 = 116
  2. 116 ÷ 580 × 100 = 20%
6.A price changes from $680 to $646. Find the percentage decrease.

Answer: 5%

  1. Change = 680 − 646 = 34
  2. 34 ÷ 680 × 100 = 5%
7.After a 25% increase, a price is $125. What was the original price?

Answer: $100

  1. New price = 125% of the original
  2. Original = 125 ÷ 1.25
  3. = $100
8.After a 5% increase, a price is $483. What was the original price?

Answer: $460

  1. New price = 105% of the original
  2. Original = 483 ÷ 1.05
  3. = $460
9.A price changes from $640 to $704. Find the percentage increase.

Answer: 10%

  1. Change = 704 − 640 = 64
  2. 64 ÷ 640 × 100 = 10%
10.After a 12% decrease, a price is $616. What was the original price?

Answer: $700

  1. New price = 88% of the original
  2. Original = 616 ÷ 0.88
  3. = $700
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