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

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

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

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

1.After a 30% increase, a price is $260. What was the original price?

Answer: $200

  1. New price = 130% of the original
  2. Original = 260 ÷ 1.3
  3. = $200
2.After a 25% decrease, a price is $240. What was the original price?

Answer: $320

  1. New price = 75% of the original
  2. Original = 240 ÷ 0.75
  3. = $320
3.A price changes from $580 to $406. Find the percentage decrease.

Answer: 30%

  1. Change = 580 − 406 = 174
  2. 174 ÷ 580 × 100 = 30%
4.After a 20% increase, a price is $864. What was the original price?

Answer: $720

  1. New price = 120% of the original
  2. Original = 864 ÷ 1.2
  3. = $720
5.A price changes from $280 to $168. Find the percentage decrease.

Answer: 40%

  1. Change = 280 − 168 = 112
  2. 112 ÷ 280 × 100 = 40%
6.After a 10% increase, a price is $858. What was the original price?

Answer: $780

  1. New price = 110% of the original
  2. Original = 858 ÷ 1.1
  3. = $780
7.After a 20% decrease, a price is $144. What was the original price?

Answer: $180

  1. New price = 80% of the original
  2. Original = 144 ÷ 0.8
  3. = $180
8.After a 15% decrease, a price is $680. What was the original price?

Answer: $800

  1. New price = 85% of the original
  2. Original = 680 ÷ 0.85
  3. = $800
9.A price changes from $360 to $450. Find the percentage increase.

Answer: 25%

  1. Change = 450 − 360 = 90
  2. 90 ÷ 360 × 100 = 25%
10.After a 25% decrease, a price is $285. What was the original price?

Answer: $380

  1. New price = 75% of the original
  2. Original = 285 ÷ 0.75
  3. = $380
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