9th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade percentages worksheet.
9th Grade Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 4 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $80 to $112. Find the percentage increase.
Answer: 40%
- Change = 112 − 80 = 32
- 32 ÷ 80 × 100 = 40%
2.A price changes from $420 to $441. Find the percentage increase.
Answer: 5%
- Change = 441 − 420 = 21
- 21 ÷ 420 × 100 = 5%
3.A price changes from $260 to $416. Find the percentage increase.
Answer: 60%
- Change = 416 − 260 = 156
- 156 ÷ 260 × 100 = 60%
4.After a 60% increase, a price is $800. What was the original price?
Answer: $500
- New price = 160% of the original
- Original = 800 ÷ 1.6
- = $500
5.After a 40% increase, a price is $1008. What was the original price?
Answer: $720
- New price = 140% of the original
- Original = 1008 ÷ 1.4
- = $720
6.After a 5% decrease, a price is $133. What was the original price?
Answer: $140
- New price = 95% of the original
- Original = 133 ÷ 0.95
- = $140
7.A price changes from $100 to $25. Find the percentage decrease.
Answer: 75%
- Change = 100 − 25 = 75
- 75 ÷ 100 × 100 = 75%
8.After a 75% increase, a price is $1120. What was the original price?
Answer: $640
- New price = 175% of the original
- Original = 1120 ÷ 1.75
- = $640
9.After a 15% increase, a price is $506. What was the original price?
Answer: $440
- New price = 115% of the original
- Original = 506 ÷ 1.15
- = $440
10.A price changes from $740 to $888. Find the percentage increase.
Answer: 20%
- Change = 888 − 740 = 148
- 148 ÷ 740 × 100 = 20%
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