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Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Percentages

Year 8 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% decrease, a price is $420. What was the original price?

Answer: $700

  1. New price = 60% of the original
  2. Original = 420 ÷ 0.6
  3. = $700
2.After a 75% increase, a price is $1295. What was the original price?

Answer: $740

  1. New price = 175% of the original
  2. Original = 1295 ÷ 1.75
  3. = $740
3.A price changes from $320 to $80. Find the percentage decrease.

Answer: 75%

  1. Change = 320 − 80 = 240
  2. 240 ÷ 320 × 100 = 75%
4.A price changes from $480 to $528. Find the percentage increase.

Answer: 10%

  1. Change = 528 − 480 = 48
  2. 48 ÷ 480 × 100 = 10%
5.After a 5% decrease, a price is $399. What was the original price?

Answer: $420

  1. New price = 95% of the original
  2. Original = 399 ÷ 0.95
  3. = $420
6.After a 30% decrease, a price is $420. What was the original price?

Answer: $600

  1. New price = 70% of the original
  2. Original = 420 ÷ 0.7
  3. = $600
7.After a 30% increase, a price is $52. What was the original price?

Answer: $40

  1. New price = 130% of the original
  2. Original = 52 ÷ 1.3
  3. = $40
8.A price changes from $420 to $462. Find the percentage increase.

Answer: 10%

  1. Change = 462 − 420 = 42
  2. 42 ÷ 420 × 100 = 10%
9.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
10.After a 15% increase, a price is $805. What was the original price?

Answer: $700

  1. New price = 115% of the original
  2. Original = 805 ÷ 1.15
  3. = $700
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