10th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade percentages worksheet.
10th Grade 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 $380 to $475. Find the percentage increase.
Answer: 25%
- Change = 475 − 380 = 95
- 95 ÷ 380 × 100 = 25%
2.After a 10% increase, a price is $176. What was the original price?
Answer: $160
- New price = 110% of the original
- Original = 176 ÷ 1.1
- = $160
3.After a 20% decrease, a price is $96. What was the original price?
Answer: $120
- New price = 80% of the original
- Original = 96 ÷ 0.8
- = $120
4.A price changes from $540 to $459. Find the percentage decrease.
Answer: 15%
- Change = 540 − 459 = 81
- 81 ÷ 540 × 100 = 15%
5.After a 30% increase, a price is $234. What was the original price?
Answer: $180
- New price = 130% of the original
- Original = 234 ÷ 1.3
- = $180
6.After a 25% decrease, a price is $90. What was the original price?
Answer: $120
- New price = 75% of the original
- Original = 90 ÷ 0.75
- = $120
7.After a 15% increase, a price is $552. What was the original price?
Answer: $480
- New price = 115% of the original
- Original = 552 ÷ 1.15
- = $480
8.After a 75% increase, a price is $210. What was the original price?
Answer: $120
- New price = 175% of the original
- Original = 210 ÷ 1.75
- = $120
9.After a 15% decrease, a price is $34. What was the original price?
Answer: $40
- New price = 85% of the original
- Original = 34 ÷ 0.85
- = $40
10.After a 10% decrease, a price is $378. What was the original price?
Answer: $420
- New price = 90% of the original
- Original = 378 ÷ 0.9
- = $420
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.