Success TutoringWorksheets

Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 percentages worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Percentages

Year 10 Percentage Increase and Decrease Worksheet — Level 3 — Answers

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

1.After a 5% decrease, a price is $38. What was the original price?

Answer: $40

  1. New price = 95% of the original
  2. Original = 38 ÷ 0.95
  3. = $40
2.A price changes from $240 to $336. Find the percentage increase.

Answer: 40%

  1. Change = 336 − 240 = 96
  2. 96 ÷ 240 × 100 = 40%
3.A price changes from $520 to $312. Find the percentage decrease.

Answer: 40%

  1. Change = 520 − 312 = 208
  2. 208 ÷ 520 × 100 = 40%
4.A price changes from $360 to $144. Find the percentage decrease.

Answer: 60%

  1. Change = 360 − 144 = 216
  2. 216 ÷ 360 × 100 = 60%
5.After a 60% increase, a price is $288. What was the original price?

Answer: $180

  1. New price = 160% of the original
  2. Original = 288 ÷ 1.6
  3. = $180
6.After a 25% increase, a price is $600. What was the original price?

Answer: $480

  1. New price = 125% of the original
  2. Original = 600 ÷ 1.25
  3. = $480
7.A price changes from $280 to $266. Find the percentage decrease.

Answer: 5%

  1. Change = 280 − 266 = 14
  2. 14 ÷ 280 × 100 = 5%
8.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
9.After a 15% decrease, a price is $527. What was the original price?

Answer: $620

  1. New price = 85% of the original
  2. Original = 527 ÷ 0.85
  3. = $620
10.A price changes from $680 to $952. Find the percentage increase.

Answer: 40%

  1. Change = 952 − 680 = 272
  2. 272 ÷ 680 × 100 = 40%
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: