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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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

1.A price changes from $280 to $252. Find the percentage decrease.

Answer: 10%

  1. Change = 280 − 252 = 28
  2. 28 ÷ 280 × 100 = 10%
2.After a 75% decrease, a price is $35. What was the original price?

Answer: $140

  1. New price = 25% of the original
  2. Original = 35 ÷ 0.25
  3. = $140
3.After a 12% decrease, a price is $352. What was the original price?

Answer: $400

  1. New price = 88% of the original
  2. Original = 352 ÷ 0.88
  3. = $400
4.A price changes from $160 to $280. Find the percentage increase.

Answer: 75%

  1. Change = 280 − 160 = 120
  2. 120 ÷ 160 × 100 = 75%
5.A price changes from $280 to $196. Find the percentage decrease.

Answer: 30%

  1. Change = 280 − 196 = 84
  2. 84 ÷ 280 × 100 = 30%
6.After a 25% increase, a price is $100. What was the original price?

Answer: $80

  1. New price = 125% of the original
  2. Original = 100 ÷ 1.25
  3. = $80
7.A price changes from $380 to $152. Find the percentage decrease.

Answer: 60%

  1. Change = 380 − 152 = 228
  2. 228 ÷ 380 × 100 = 60%
8.A price changes from $380 to $399. Find the percentage increase.

Answer: 5%

  1. Change = 399 − 380 = 19
  2. 19 ÷ 380 × 100 = 5%
9.After a 25% decrease, a price is $255. What was the original price?

Answer: $340

  1. New price = 75% of the original
  2. Original = 255 ÷ 0.75
  3. = $340
10.After a 60% decrease, a price is $256. What was the original price?

Answer: $640

  1. New price = 40% of the original
  2. Original = 256 ÷ 0.4
  3. = $640
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