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10th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 10th Grade percentages worksheet.

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Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Percentages

10th Grade 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% decrease, a price is $105. What was the original price?

Answer: $420

  1. New price = 25% of the original
  2. Original = 105 ÷ 0.25
  3. = $420
2.After a 15% increase, a price is $460. What was the original price?

Answer: $400

  1. New price = 115% of the original
  2. Original = 460 ÷ 1.15
  3. = $400
3.A price changes from $220 to $132. Find the percentage decrease.

Answer: 40%

  1. Change = 220 − 132 = 88
  2. 88 ÷ 220 × 100 = 40%
4.After a 5% increase, a price is $693. What was the original price?

Answer: $660

  1. New price = 105% of the original
  2. Original = 693 ÷ 1.05
  3. = $660
5.After a 15% decrease, a price is $459. What was the original price?

Answer: $540

  1. New price = 85% of the original
  2. Original = 459 ÷ 0.85
  3. = $540
6.A price changes from $360 to $450. Find the percentage increase.

Answer: 25%

  1. Change = 450 − 360 = 90
  2. 90 ÷ 360 × 100 = 25%
7.After a 20% increase, a price is $576. What was the original price?

Answer: $480

  1. New price = 120% of the original
  2. Original = 576 ÷ 1.2
  3. = $480
8.After a 40% decrease, a price is $192. What was the original price?

Answer: $320

  1. New price = 60% of the original
  2. Original = 192 ÷ 0.6
  3. = $320
9.A price changes from $400 to $500. Find the percentage increase.

Answer: 25%

  1. Change = 500 − 400 = 100
  2. 100 ÷ 400 × 100 = 25%
10.After a 5% decrease, a price is $285. What was the original price?

Answer: $300

  1. New price = 95% of the original
  2. Original = 285 ÷ 0.95
  3. = $300
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