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

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Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Percentages

Year 7 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 $140. Find the percentage increase.

Answer: 40%

  1. Change = 140 − 100 = 40
  2. 40 ÷ 100 × 100 = 40%
2.After a 10% decrease, a price is $648. What was the original price?

Answer: $720

  1. New price = 90% of the original
  2. Original = 648 ÷ 0.9
  3. = $720
3.After a 60% increase, a price is $448. What was the original price?

Answer: $280

  1. New price = 160% of the original
  2. Original = 448 ÷ 1.6
  3. = $280
4.After a 20% decrease, a price is $560. What was the original price?

Answer: $700

  1. New price = 80% of the original
  2. Original = 560 ÷ 0.8
  3. = $700
5.A price changes from $200 to $260. Find the percentage increase.

Answer: 30%

  1. Change = 260 − 200 = 60
  2. 60 ÷ 200 × 100 = 30%
6.After a 40% increase, a price is $56. What was the original price?

Answer: $40

  1. New price = 140% of the original
  2. Original = 56 ÷ 1.4
  3. = $40
7.After a 15% decrease, a price is $306. What was the original price?

Answer: $360

  1. New price = 85% of the original
  2. Original = 306 ÷ 0.85
  3. = $360
8.A price changes from $500 to $450. Find the percentage decrease.

Answer: 10%

  1. Change = 500 − 450 = 50
  2. 50 ÷ 500 × 100 = 10%
9.After a 15% decrease, a price is $357. What was the original price?

Answer: $420

  1. New price = 85% of the original
  2. Original = 357 ÷ 0.85
  3. = $420
10.A price changes from $220 to $88. Find the percentage decrease.

Answer: 60%

  1. Change = 220 − 88 = 132
  2. 132 ÷ 220 × 100 = 60%
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