9th Grade Percentage Increase and Decrease Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 9th Grade percentages worksheet.
9th Grade Percentage Increase and Decrease Worksheet — Level 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $700 to $1225. Find the percentage increase.
Answer: 75%
- Change = 1225 − 700 = 525
- 525 ÷ 700 × 100 = 75%
2.After a 5% decrease, a price is $285. What was the original price?
Answer: $300
- New price = 95% of the original
- Original = 285 ÷ 0.95
- = $300
3.After a 60% decrease, a price is $104. What was the original price?
Answer: $260
- New price = 40% of the original
- Original = 104 ÷ 0.4
- = $260
4.A price changes from $200 to $320. Find the percentage increase.
Answer: 60%
- Change = 320 − 200 = 120
- 120 ÷ 200 × 100 = 60%
5.A price changes from $720 to $504. Find the percentage decrease.
Answer: 30%
- Change = 720 − 504 = 216
- 216 ÷ 720 × 100 = 30%
6.A price changes from $660 to $1056. Find the percentage increase.
Answer: 60%
- Change = 1056 − 660 = 396
- 396 ÷ 660 × 100 = 60%
7.A price changes from $540 to $702. Find the percentage increase.
Answer: 30%
- Change = 702 − 540 = 162
- 162 ÷ 540 × 100 = 30%
8.A price changes from $580 to $464. Find the percentage decrease.
Answer: 20%
- Change = 580 − 464 = 116
- 116 ÷ 580 × 100 = 20%
9.After a 20% increase, a price is $768. What was the original price?
Answer: $640
- New price = 120% of the original
- Original = 768 ÷ 1.2
- = $640
10.After a 40% decrease, a price is $96. What was the original price?
Answer: $160
- New price = 60% of the original
- Original = 96 ÷ 0.6
- = $160
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: