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

Answer sheet with worked solutions for the Year 8 percentages worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Percentages

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

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

1.A price changes from $140 to $224. Find the percentage increase.

Answer: 60%

  1. Change = 224 − 140 = 84
  2. 84 ÷ 140 × 100 = 60%
2.After a 60% decrease, a price is $248. What was the original price?

Answer: $620

  1. New price = 40% of the original
  2. Original = 248 ÷ 0.4
  3. = $620
3.A price changes from $740 to $444. Find the percentage decrease.

Answer: 40%

  1. Change = 740 − 444 = 296
  2. 296 ÷ 740 × 100 = 40%
4.A price changes from $460 to $414. Find the percentage decrease.

Answer: 10%

  1. Change = 460 − 414 = 46
  2. 46 ÷ 460 × 100 = 10%
5.A price changes from $140 to $154. Find the percentage increase.

Answer: 10%

  1. Change = 154 − 140 = 14
  2. 14 ÷ 140 × 100 = 10%
6.After a 75% increase, a price is $1120. What was the original price?

Answer: $640

  1. New price = 175% of the original
  2. Original = 1120 ÷ 1.75
  3. = $640
7.A price changes from $40 to $28. Find the percentage decrease.

Answer: 30%

  1. Change = 40 − 28 = 12
  2. 12 ÷ 40 × 100 = 30%
8.A price changes from $240 to $312. Find the percentage increase.

Answer: 30%

  1. Change = 312 − 240 = 72
  2. 72 ÷ 240 × 100 = 30%
9.After a 15% increase, a price is $230. What was the original price?

Answer: $200

  1. New price = 115% of the original
  2. Original = 230 ÷ 1.15
  3. = $200
10.A price changes from $720 to $936. Find the percentage increase.

Answer: 30%

  1. Change = 936 − 720 = 216
  2. 216 ÷ 720 × 100 = 30%
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