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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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

1.After a 40% increase, a price is $896. What was the original price?

Answer: $640

  1. New price = 140% of the original
  2. Original = 896 ÷ 1.4
  3. = $640
2.After a 5% increase, a price is $378. What was the original price?

Answer: $360

  1. New price = 105% of the original
  2. Original = 378 ÷ 1.05
  3. = $360
3.A price changes from $620 to $527. Find the percentage decrease.

Answer: 15%

  1. Change = 620 − 527 = 93
  2. 93 ÷ 620 × 100 = 15%
4.A price changes from $280 to $252. Find the percentage decrease.

Answer: 10%

  1. Change = 280 − 252 = 28
  2. 28 ÷ 280 × 100 = 10%
5.After a 75% decrease, a price is $185. What was the original price?

Answer: $740

  1. New price = 25% of the original
  2. Original = 185 ÷ 0.25
  3. = $740
6.After a 15% decrease, a price is $119. What was the original price?

Answer: $140

  1. New price = 85% of the original
  2. Original = 119 ÷ 0.85
  3. = $140
7.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
8.A price changes from $520 to $468. Find the percentage decrease.

Answer: 10%

  1. Change = 520 − 468 = 52
  2. 52 ÷ 520 × 100 = 10%
9.After a 30% increase, a price is $1014. What was the original price?

Answer: $780

  1. New price = 130% of the original
  2. Original = 1014 ÷ 1.3
  3. = $780
10.A price changes from $340 to $391. Find the percentage increase.

Answer: 15%

  1. Change = 391 − 340 = 51
  2. 51 ÷ 340 × 100 = 15%
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