9th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade percentages worksheet.
9th 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.After a 60% decrease, a price is $224. What was the original price?
Answer: $560
- New price = 40% of the original
- Original = 224 ÷ 0.4
- = $560
2.A price changes from $580 to $551. Find the percentage decrease.
Answer: 5%
- Change = 580 − 551 = 29
- 29 ÷ 580 × 100 = 5%
3.After a 25% increase, a price is $525. What was the original price?
Answer: $420
- New price = 125% of the original
- Original = 525 ÷ 1.25
- = $420
4.After a 20% decrease, a price is $368. What was the original price?
Answer: $460
- New price = 80% of the original
- Original = 368 ÷ 0.8
- = $460
5.After a 25% decrease, a price is $270. What was the original price?
Answer: $360
- New price = 75% of the original
- Original = 270 ÷ 0.75
- = $360
6.A price changes from $560 to $616. Find the percentage increase.
Answer: 10%
- Change = 616 − 560 = 56
- 56 ÷ 560 × 100 = 10%
7.A price changes from $500 to $650. Find the percentage increase.
Answer: 30%
- Change = 650 − 500 = 150
- 150 ÷ 500 × 100 = 30%
8.After a 25% decrease, a price is $225. What was the original price?
Answer: $300
- New price = 75% of the original
- Original = 225 ÷ 0.75
- = $300
9.After a 75% increase, a price is $665. What was the original price?
Answer: $380
- New price = 175% of the original
- Original = 665 ÷ 1.75
- = $380
10.After a 10% increase, a price is $330. What was the original price?
Answer: $300
- New price = 110% of the original
- Original = 330 ÷ 1.1
- = $300
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