Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 percentages worksheet.
Year 8 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 $680 to $408. Find the percentage decrease.
Answer: 40%
- Change = 680 − 408 = 272
- 272 ÷ 680 × 100 = 40%
2.A price changes from $60 to $75. Find the percentage increase.
Answer: 25%
- Change = 75 − 60 = 15
- 15 ÷ 60 × 100 = 25%
3.A price changes from $200 to $260. Find the percentage increase.
Answer: 30%
- Change = 260 − 200 = 60
- 60 ÷ 200 × 100 = 30%
4.After a 20% increase, a price is $792. What was the original price?
Answer: $660
- New price = 120% of the original
- Original = 792 ÷ 1.2
- = $660
5.After a 30% decrease, a price is $504. What was the original price?
Answer: $720
- New price = 70% of the original
- Original = 504 ÷ 0.7
- = $720
6.A price changes from $480 to $120. Find the percentage decrease.
Answer: 75%
- Change = 480 − 120 = 360
- 360 ÷ 480 × 100 = 75%
7.A price changes from $80 to $20. Find the percentage decrease.
Answer: 75%
- Change = 80 − 20 = 60
- 60 ÷ 80 × 100 = 75%
8.After a 15% decrease, a price is $102. What was the original price?
Answer: $120
- New price = 85% of the original
- Original = 102 ÷ 0.85
- = $120
9.After a 40% decrease, a price is $60. What was the original price?
Answer: $100
- New price = 60% of the original
- Original = 60 ÷ 0.6
- = $100
10.A price changes from $80 to $96. Find the percentage increase.
Answer: 20%
- Change = 96 − 80 = 16
- 16 ÷ 80 × 100 = 20%
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