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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Answers

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

1.After a 30% increase, a price is $884. What was the original price?

Answer: $680

  1. New price = 130% of the original
  2. Original = 884 ÷ 1.3
  3. = $680
2.A price changes from $520 to $650. Find the percentage increase.

Answer: 25%

  1. Change = 650 − 520 = 130
  2. 130 ÷ 520 × 100 = 25%
3.A price changes from $500 to $600. Find the percentage increase.

Answer: 20%

  1. Change = 600 − 500 = 100
  2. 100 ÷ 500 × 100 = 20%
4.After a 12% decrease, a price is $704. What was the original price?

Answer: $800

  1. New price = 88% of the original
  2. Original = 704 ÷ 0.88
  3. = $800
5.After a 5% increase, a price is $210. What was the original price?

Answer: $200

  1. New price = 105% of the original
  2. Original = 210 ÷ 1.05
  3. = $200
6.After a 25% increase, a price is $275. What was the original price?

Answer: $220

  1. New price = 125% of the original
  2. Original = 275 ÷ 1.25
  3. = $220
7.A price changes from $260 to $286. Find the percentage increase.

Answer: 10%

  1. Change = 286 − 260 = 26
  2. 26 ÷ 260 × 100 = 10%
8.A price changes from $140 to $119. Find the percentage decrease.

Answer: 15%

  1. Change = 140 − 119 = 21
  2. 21 ÷ 140 × 100 = 15%
9.A price changes from $620 to $713. Find the percentage increase.

Answer: 15%

  1. Change = 713 − 620 = 93
  2. 93 ÷ 620 × 100 = 15%
10.After a 5% increase, a price is $42. What was the original price?

Answer: $40

  1. New price = 105% of the original
  2. Original = 42 ÷ 1.05
  3. = $40
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