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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 percentages worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Answers

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

1.After a 12% increase, a price is $336. What was the original price?

Answer: $300

  1. New price = 112% of the original
  2. Original = 336 ÷ 1.12
  3. = $300
2.A price changes from $620 to $682. Find the percentage increase.

Answer: 10%

  1. Change = 682 − 620 = 62
  2. 62 ÷ 620 × 100 = 10%
3.After a 15% increase, a price is $552. What was the original price?

Answer: $480

  1. New price = 115% of the original
  2. Original = 552 ÷ 1.15
  3. = $480
4.After a 5% increase, a price is $735. What was the original price?

Answer: $700

  1. New price = 105% of the original
  2. Original = 735 ÷ 1.05
  3. = $700
5.After a 60% decrease, a price is $176. What was the original price?

Answer: $440

  1. New price = 40% of the original
  2. Original = 176 ÷ 0.4
  3. = $440
6.After a 40% increase, a price is $1092. What was the original price?

Answer: $780

  1. New price = 140% of the original
  2. Original = 1092 ÷ 1.4
  3. = $780
7.After a 5% decrease, a price is $247. What was the original price?

Answer: $260

  1. New price = 95% of the original
  2. Original = 247 ÷ 0.95
  3. = $260
8.After a 30% decrease, a price is $98. What was the original price?

Answer: $140

  1. New price = 70% of the original
  2. Original = 98 ÷ 0.7
  3. = $140
9.After a 60% decrease, a price is $48. What was the original price?

Answer: $120

  1. New price = 40% of the original
  2. Original = 48 ÷ 0.4
  3. = $120
10.A price changes from $480 to $552. Find the percentage increase.

Answer: 15%

  1. Change = 552 − 480 = 72
  2. 72 ÷ 480 × 100 = 15%
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