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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.After a 75% increase, a price is $315. What was the original price?

Answer: $180

  1. New price = 175% of the original
  2. Original = 315 ÷ 1.75
  3. = $180
2.After a 40% increase, a price is $392. What was the original price?

Answer: $280

  1. New price = 140% of the original
  2. Original = 392 ÷ 1.4
  3. = $280
3.A price changes from $480 to $768. Find the percentage increase.

Answer: 60%

  1. Change = 768 − 480 = 288
  2. 288 ÷ 480 × 100 = 60%
4.A price changes from $360 to $288. Find the percentage decrease.

Answer: 20%

  1. Change = 360 − 288 = 72
  2. 72 ÷ 360 × 100 = 20%
5.After a 20% increase, a price is $624. What was the original price?

Answer: $520

  1. New price = 120% of the original
  2. Original = 624 ÷ 1.2
  3. = $520
6.After a 25% decrease, a price is $30. What was the original price?

Answer: $40

  1. New price = 75% of the original
  2. Original = 30 ÷ 0.75
  3. = $40
7.A price changes from $380 to $304. Find the percentage decrease.

Answer: 20%

  1. Change = 380 − 304 = 76
  2. 76 ÷ 380 × 100 = 20%
8.After a 5% decrease, a price is $684. What was the original price?

Answer: $720

  1. New price = 95% of the original
  2. Original = 684 ÷ 0.95
  3. = $720
9.A price changes from $480 to $336. Find the percentage decrease.

Answer: 30%

  1. Change = 480 − 336 = 144
  2. 144 ÷ 480 × 100 = 30%
10.After a 15% decrease, a price is $238. What was the original price?

Answer: $280

  1. New price = 85% of the original
  2. Original = 238 ÷ 0.85
  3. = $280
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