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Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Percentages

Year 8 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 30% increase, a price is $208. What was the original price?

Answer: $160

  1. New price = 130% of the original
  2. Original = 208 ÷ 1.3
  3. = $160
2.After a 20% increase, a price is $192. What was the original price?

Answer: $160

  1. New price = 120% of the original
  2. Original = 192 ÷ 1.2
  3. = $160
3.A price changes from $260 to $338. Find the percentage increase.

Answer: 30%

  1. Change = 338 − 260 = 78
  2. 78 ÷ 260 × 100 = 30%
4.After a 40% increase, a price is $1008. What was the original price?

Answer: $720

  1. New price = 140% of the original
  2. Original = 1008 ÷ 1.4
  3. = $720
5.A price changes from $280 to $350. Find the percentage increase.

Answer: 25%

  1. Change = 350 − 280 = 70
  2. 70 ÷ 280 × 100 = 25%
6.After a 10% increase, a price is $330. What was the original price?

Answer: $300

  1. New price = 110% of the original
  2. Original = 330 ÷ 1.1
  3. = $300
7.A price changes from $560 to $476. Find the percentage decrease.

Answer: 15%

  1. Change = 560 − 476 = 84
  2. 84 ÷ 560 × 100 = 15%
8.After a 60% decrease, a price is $232. What was the original price?

Answer: $580

  1. New price = 40% of the original
  2. Original = 232 ÷ 0.4
  3. = $580
9.A price changes from $540 to $405. Find the percentage decrease.

Answer: 25%

  1. Change = 540 − 405 = 135
  2. 135 ÷ 540 × 100 = 25%
10.A price changes from $580 to $609. Find the percentage increase.

Answer: 5%

  1. Change = 609 − 580 = 29
  2. 29 ÷ 580 × 100 = 5%
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