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Year 11 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Percentages

Year 11 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 10% decrease, a price is $594. What was the original price?

Answer: $660

  1. New price = 90% of the original
  2. Original = 594 ÷ 0.9
  3. = $660
2.After a 25% increase, a price is $625. What was the original price?

Answer: $500

  1. New price = 125% of the original
  2. Original = 625 ÷ 1.25
  3. = $500
3.After a 60% increase, a price is $800. What was the original price?

Answer: $500

  1. New price = 160% of the original
  2. Original = 800 ÷ 1.6
  3. = $500
4.After a 30% increase, a price is $754. What was the original price?

Answer: $580

  1. New price = 130% of the original
  2. Original = 754 ÷ 1.3
  3. = $580
5.A price changes from $320 to $272. Find the percentage decrease.

Answer: 15%

  1. Change = 320 − 272 = 48
  2. 48 ÷ 320 × 100 = 15%
6.After a 60% decrease, a price is $304. What was the original price?

Answer: $760

  1. New price = 40% of the original
  2. Original = 304 ÷ 0.4
  3. = $760
7.A price changes from $640 to $160. Find the percentage decrease.

Answer: 75%

  1. Change = 640 − 160 = 480
  2. 480 ÷ 640 × 100 = 75%
8.After a 40% increase, a price is $840. What was the original price?

Answer: $600

  1. New price = 140% of the original
  2. Original = 840 ÷ 1.4
  3. = $600
9.After a 60% increase, a price is $1248. What was the original price?

Answer: $780

  1. New price = 160% of the original
  2. Original = 1248 ÷ 1.6
  3. = $780
10.After a 60% increase, a price is $896. What was the original price?

Answer: $560

  1. New price = 160% of the original
  2. Original = 896 ÷ 1.6
  3. = $560
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