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Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 percentages worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Percentages

Year 7 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers

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

1.A price changes from $540 to $135. Find the percentage decrease.

Answer: 75%

  1. Change = 540 − 135 = 405
  2. 405 ÷ 540 × 100 = 75%
2.After a 30% increase, a price is $468. What was the original price?

Answer: $360

  1. New price = 130% of the original
  2. Original = 468 ÷ 1.3
  3. = $360
3.After a 25% increase, a price is $625. What was the original price?

Answer: $500

  1. New price = 125% of the original
  2. Original = 625 ÷ 1.25
  3. = $500
4.A price changes from $240 to $144. Find the percentage decrease.

Answer: 40%

  1. Change = 240 − 144 = 96
  2. 96 ÷ 240 × 100 = 40%
5.After a 60% decrease, a price is $136. What was the original price?

Answer: $340

  1. New price = 40% of the original
  2. Original = 136 ÷ 0.4
  3. = $340
6.After a 30% increase, a price is $702. What was the original price?

Answer: $540

  1. New price = 130% of the original
  2. Original = 702 ÷ 1.3
  3. = $540
7.After a 20% increase, a price is $960. What was the original price?

Answer: $800

  1. New price = 120% of the original
  2. Original = 960 ÷ 1.2
  3. = $800
8.A price changes from $420 to $105. Find the percentage decrease.

Answer: 75%

  1. Change = 420 − 105 = 315
  2. 315 ÷ 420 × 100 = 75%
9.A price changes from $200 to $80. Find the percentage decrease.

Answer: 60%

  1. Change = 200 − 80 = 120
  2. 120 ÷ 200 × 100 = 60%
10.After a 15% decrease, a price is $289. What was the original price?

Answer: $340

  1. New price = 85% of the original
  2. Original = 289 ÷ 0.85
  3. = $340
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