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Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 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 15% decrease, a price is $476. What was the original price?

Answer: $560

  1. New price = 85% of the original
  2. Original = 476 ÷ 0.85
  3. = $560
2.A price changes from $540 to $486. Find the percentage decrease.

Answer: 10%

  1. Change = 540 − 486 = 54
  2. 54 ÷ 540 × 100 = 10%
3.A price changes from $280 to $224. Find the percentage decrease.

Answer: 20%

  1. Change = 280 − 224 = 56
  2. 56 ÷ 280 × 100 = 20%
4.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
5.A price changes from $560 to $980. Find the percentage increase.

Answer: 75%

  1. Change = 980 − 560 = 420
  2. 420 ÷ 560 × 100 = 75%
6.After a 75% increase, a price is $245. What was the original price?

Answer: $140

  1. New price = 175% of the original
  2. Original = 245 ÷ 1.75
  3. = $140
7.After a 15% decrease, a price is $595. What was the original price?

Answer: $700

  1. New price = 85% of the original
  2. Original = 595 ÷ 0.85
  3. = $700
8.A price changes from $40 to $70. Find the percentage increase.

Answer: 75%

  1. Change = 70 − 40 = 30
  2. 30 ÷ 40 × 100 = 75%
9.After a 40% increase, a price is $644. What was the original price?

Answer: $460

  1. New price = 140% of the original
  2. Original = 644 ÷ 1.4
  3. = $460
10.After a 15% decrease, a price is $408. What was the original price?

Answer: $480

  1. New price = 85% of the original
  2. Original = 408 ÷ 0.85
  3. = $480
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