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Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 7 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Percentages

Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

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

1.A price changes from $560 to $728. Find the percentage increase.

Answer: 30%

  1. Change = 728 − 560 = 168
  2. 168 ÷ 560 × 100 = 30%
2.After a 20% decrease, a price is $208. What was the original price?

Answer: $260

  1. New price = 80% of the original
  2. Original = 208 ÷ 0.8
  3. = $260
3.After a 60% decrease, a price is $24. What was the original price?

Answer: $60

  1. New price = 40% of the original
  2. Original = 24 ÷ 0.4
  3. = $60
4.After a 30% decrease, a price is $518. What was the original price?

Answer: $740

  1. New price = 70% of the original
  2. Original = 518 ÷ 0.7
  3. = $740
5.A price changes from $740 to $185. Find the percentage decrease.

Answer: 75%

  1. Change = 740 − 185 = 555
  2. 555 ÷ 740 × 100 = 75%
6.After a 40% increase, a price is $560. What was the original price?

Answer: $400

  1. New price = 140% of the original
  2. Original = 560 ÷ 1.4
  3. = $400
7.A price changes from $140 to $224. Find the percentage increase.

Answer: 60%

  1. Change = 224 − 140 = 84
  2. 84 ÷ 140 × 100 = 60%
8.A price changes from $340 to $306. Find the percentage decrease.

Answer: 10%

  1. Change = 340 − 306 = 34
  2. 34 ÷ 340 × 100 = 10%
9.A price changes from $420 to $168. Find the percentage decrease.

Answer: 60%

  1. Change = 420 − 168 = 252
  2. 252 ÷ 420 × 100 = 60%
10.After a 60% decrease, a price is $240. What was the original price?

Answer: $600

  1. New price = 40% of the original
  2. Original = 240 ÷ 0.4
  3. = $600
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