Year 11 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 11 percentages worksheet.
Year 11 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.A price changes from $620 to $1085. Find the percentage increase.
Answer: 75%
- Change = 1085 − 620 = 465
- 465 ÷ 620 × 100 = 75%
2.After a 40% increase, a price is $392. What was the original price?
Answer: $280
- New price = 140% of the original
- Original = 392 ÷ 1.4
- = $280
3.After a 10% decrease, a price is $324. What was the original price?
Answer: $360
- New price = 90% of the original
- Original = 324 ÷ 0.9
- = $360
4.After a 15% increase, a price is $207. What was the original price?
Answer: $180
- New price = 115% of the original
- Original = 207 ÷ 1.15
- = $180
5.A price changes from $240 to $192. Find the percentage decrease.
Answer: 20%
- Change = 240 − 192 = 48
- 48 ÷ 240 × 100 = 20%
6.After a 40% decrease, a price is $36. What was the original price?
Answer: $60
- New price = 60% of the original
- Original = 36 ÷ 0.6
- = $60
7.A price changes from $780 to $975. Find the percentage increase.
Answer: 25%
- Change = 975 − 780 = 195
- 195 ÷ 780 × 100 = 25%
8.After a 25% increase, a price is $700. What was the original price?
Answer: $560
- New price = 125% of the original
- Original = 700 ÷ 1.25
- = $560
9.A price changes from $340 to $408. Find the percentage increase.
Answer: 20%
- Change = 408 − 340 = 68
- 68 ÷ 340 × 100 = 20%
10.A price changes from $800 to $480. Find the percentage decrease.
Answer: 40%
- Change = 800 − 480 = 320
- 320 ÷ 800 × 100 = 40%
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