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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 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 $100 to $120. Find the percentage increase.

Answer: 20%

  1. Change = 120 − 100 = 20
  2. 20 ÷ 100 × 100 = 20%
2.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
3.After a 20% increase, a price is $264. What was the original price?

Answer: $220

  1. New price = 120% of the original
  2. Original = 264 ÷ 1.2
  3. = $220
4.After a 60% increase, a price is $672. What was the original price?

Answer: $420

  1. New price = 160% of the original
  2. Original = 672 ÷ 1.6
  3. = $420
5.A price changes from $740 to $518. Find the percentage decrease.

Answer: 30%

  1. Change = 740 − 518 = 222
  2. 222 ÷ 740 × 100 = 30%
6.After a 40% increase, a price is $504. What was the original price?

Answer: $360

  1. New price = 140% of the original
  2. Original = 504 ÷ 1.4
  3. = $360
7.After a 15% increase, a price is $690. What was the original price?

Answer: $600

  1. New price = 115% of the original
  2. Original = 690 ÷ 1.15
  3. = $600
8.After a 20% increase, a price is $240. What was the original price?

Answer: $200

  1. New price = 120% of the original
  2. Original = 240 ÷ 1.2
  3. = $200
9.A price changes from $160 to $176. Find the percentage increase.

Answer: 10%

  1. Change = 176 − 160 = 16
  2. 16 ÷ 160 × 100 = 10%
10.After a 40% decrease, a price is $144. What was the original price?

Answer: $240

  1. New price = 60% of the original
  2. Original = 144 ÷ 0.6
  3. = $240
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