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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 5% increase, a price is $483. What was the original price?

Answer: $460

  1. New price = 105% of the original
  2. Original = 483 ÷ 1.05
  3. = $460
2.After a 5% increase, a price is $294. What was the original price?

Answer: $280

  1. New price = 105% of the original
  2. Original = 294 ÷ 1.05
  3. = $280
3.After a 5% increase, a price is $588. What was the original price?

Answer: $560

  1. New price = 105% of the original
  2. Original = 588 ÷ 1.05
  3. = $560
4.A price changes from $560 to $140. Find the percentage decrease.

Answer: 75%

  1. Change = 560 − 140 = 420
  2. 420 ÷ 560 × 100 = 75%
5.After a 5% decrease, a price is $76. What was the original price?

Answer: $80

  1. New price = 95% of the original
  2. Original = 76 ÷ 0.95
  3. = $80
6.A price changes from $340 to $391. Find the percentage increase.

Answer: 15%

  1. Change = 391 − 340 = 51
  2. 51 ÷ 340 × 100 = 15%
7.A price changes from $580 to $638. Find the percentage increase.

Answer: 10%

  1. Change = 638 − 580 = 58
  2. 58 ÷ 580 × 100 = 10%
8.After a 60% decrease, a price is $232. What was the original price?

Answer: $580

  1. New price = 40% of the original
  2. Original = 232 ÷ 0.4
  3. = $580
9.After a 25% decrease, a price is $465. What was the original price?

Answer: $620

  1. New price = 75% of the original
  2. Original = 465 ÷ 0.75
  3. = $620
10.A price changes from $700 to $525. Find the percentage decrease.

Answer: 25%

  1. Change = 700 − 525 = 175
  2. 175 ÷ 700 × 100 = 25%
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