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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 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 $460 to $115. Find the percentage decrease.

Answer: 75%

  1. Change = 460 − 115 = 345
  2. 345 ÷ 460 × 100 = 75%
2.After a 30% decrease, a price is $70. What was the original price?

Answer: $100

  1. New price = 70% of the original
  2. Original = 70 ÷ 0.7
  3. = $100
3.After a 75% increase, a price is $910. What was the original price?

Answer: $520

  1. New price = 175% of the original
  2. Original = 910 ÷ 1.75
  3. = $520
4.A price changes from $540 to $756. Find the percentage increase.

Answer: 40%

  1. Change = 756 − 540 = 216
  2. 216 ÷ 540 × 100 = 40%
5.After a 15% decrease, a price is $442. What was the original price?

Answer: $520

  1. New price = 85% of the original
  2. Original = 442 ÷ 0.85
  3. = $520
6.A price changes from $700 to $1120. Find the percentage increase.

Answer: 60%

  1. Change = 1120 − 700 = 420
  2. 420 ÷ 700 × 100 = 60%
7.A price changes from $220 to $165. Find the percentage decrease.

Answer: 25%

  1. Change = 220 − 165 = 55
  2. 55 ÷ 220 × 100 = 25%
8.After a 5% increase, a price is $798. What was the original price?

Answer: $760

  1. New price = 105% of the original
  2. Original = 798 ÷ 1.05
  3. = $760
9.A price changes from $400 to $520. Find the percentage increase.

Answer: 30%

  1. Change = 520 − 400 = 120
  2. 120 ÷ 400 × 100 = 30%
10.A price changes from $700 to $280. Find the percentage decrease.

Answer: 60%

  1. Change = 700 − 280 = 420
  2. 420 ÷ 700 × 100 = 60%
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