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Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Percentages

Year 8 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 $780 to $546. Find the percentage decrease.

Answer: 30%

  1. Change = 780 − 546 = 234
  2. 234 ÷ 780 × 100 = 30%
2.After a 40% increase, a price is $812. What was the original price?

Answer: $580

  1. New price = 140% of the original
  2. Original = 812 ÷ 1.4
  3. = $580
3.A price changes from $420 to $399. Find the percentage decrease.

Answer: 5%

  1. Change = 420 − 399 = 21
  2. 21 ÷ 420 × 100 = 5%
4.A price changes from $660 to $825. Find the percentage increase.

Answer: 25%

  1. Change = 825 − 660 = 165
  2. 165 ÷ 660 × 100 = 25%
5.After a 20% decrease, a price is $64. What was the original price?

Answer: $80

  1. New price = 80% of the original
  2. Original = 64 ÷ 0.8
  3. = $80
6.A price changes from $520 to $910. Find the percentage increase.

Answer: 75%

  1. Change = 910 − 520 = 390
  2. 390 ÷ 520 × 100 = 75%
7.After a 5% increase, a price is $693. What was the original price?

Answer: $660

  1. New price = 105% of the original
  2. Original = 693 ÷ 1.05
  3. = $660
8.After a 5% increase, a price is $609. What was the original price?

Answer: $580

  1. New price = 105% of the original
  2. Original = 609 ÷ 1.05
  3. = $580
9.After a 60% increase, a price is $640. What was the original price?

Answer: $400

  1. New price = 160% of the original
  2. Original = 640 ÷ 1.6
  3. = $400
10.After a 75% decrease, a price is $75. What was the original price?

Answer: $300

  1. New price = 25% of the original
  2. Original = 75 ÷ 0.25
  3. = $300
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