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

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

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Percentages

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

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

1.After a 25% increase, a price is $975. What was the original price?

Answer: $780

  1. New price = 125% of the original
  2. Original = 975 ÷ 1.25
  3. = $780
2.A price changes from $60 to $63. Find the percentage increase.

Answer: 5%

  1. Change = 63 − 60 = 3
  2. 3 ÷ 60 × 100 = 5%
3.After a 15% increase, a price is $46. What was the original price?

Answer: $40

  1. New price = 115% of the original
  2. Original = 46 ÷ 1.15
  3. = $40
4.After a 20% increase, a price is $504. What was the original price?

Answer: $420

  1. New price = 120% of the original
  2. Original = 504 ÷ 1.2
  3. = $420
5.A price changes from $500 to $450. Find the percentage decrease.

Answer: 10%

  1. Change = 500 − 450 = 50
  2. 50 ÷ 500 × 100 = 10%
6.After a 10% increase, a price is $132. What was the original price?

Answer: $120

  1. New price = 110% of the original
  2. Original = 132 ÷ 1.1
  3. = $120
7.After a 60% increase, a price is $64. What was the original price?

Answer: $40

  1. New price = 160% of the original
  2. Original = 64 ÷ 1.6
  3. = $40
8.A price changes from $680 to $782. Find the percentage increase.

Answer: 15%

  1. Change = 782 − 680 = 102
  2. 102 ÷ 680 × 100 = 15%
9.After a 25% increase, a price is $125. What was the original price?

Answer: $100

  1. New price = 125% of the original
  2. Original = 125 ÷ 1.25
  3. = $100
10.A price changes from $60 to $15. Find the percentage decrease.

Answer: 75%

  1. Change = 60 − 15 = 45
  2. 45 ÷ 60 × 100 = 75%
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