Success TutoringWorksheets

Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 percentages worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Percentages

Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Answers

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

1.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
2.A price changes from $280 to $490. Find the percentage increase.

Answer: 75%

  1. Change = 490 − 280 = 210
  2. 210 ÷ 280 × 100 = 75%
3.After a 40% increase, a price is $252. What was the original price?

Answer: $180

  1. New price = 140% of the original
  2. Original = 252 ÷ 1.4
  3. = $180
4.After a 75% increase, a price is $105. What was the original price?

Answer: $60

  1. New price = 175% of the original
  2. Original = 105 ÷ 1.75
  3. = $60
5.A price changes from $140 to $147. Find the percentage increase.

Answer: 5%

  1. Change = 147 − 140 = 7
  2. 7 ÷ 140 × 100 = 5%
6.After a 60% increase, a price is $192. What was the original price?

Answer: $120

  1. New price = 160% of the original
  2. Original = 192 ÷ 1.6
  3. = $120
7.A price changes from $360 to $324. Find the percentage decrease.

Answer: 10%

  1. Change = 360 − 324 = 36
  2. 36 ÷ 360 × 100 = 10%
8.After a 75% decrease, a price is $110. What was the original price?

Answer: $440

  1. New price = 25% of the original
  2. Original = 110 ÷ 0.25
  3. = $440
9.After a 40% increase, a price is $112. What was the original price?

Answer: $80

  1. New price = 140% of the original
  2. Original = 112 ÷ 1.4
  3. = $80
10.After a 25% increase, a price is $525. What was the original price?

Answer: $420

  1. New price = 125% of the original
  2. Original = 525 ÷ 1.25
  3. = $420
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: