Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 percentages worksheet.
Year 8 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers
Percentage change = change ÷ original amount × 100. Always divide by the original amount.
1.After a 75% increase, a price is $315. What was the original price?
Answer: $180
- New price = 175% of the original
- Original = 315 ÷ 1.75
- = $180
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.A price changes from $480 to $768. Find the percentage increase.
Answer: 60%
- Change = 768 − 480 = 288
- 288 ÷ 480 × 100 = 60%
4.A price changes from $360 to $288. Find the percentage decrease.
Answer: 20%
- Change = 360 − 288 = 72
- 72 ÷ 360 × 100 = 20%
5.After a 20% increase, a price is $624. What was the original price?
Answer: $520
- New price = 120% of the original
- Original = 624 ÷ 1.2
- = $520
6.After a 25% decrease, a price is $30. What was the original price?
Answer: $40
- New price = 75% of the original
- Original = 30 ÷ 0.75
- = $40
7.A price changes from $380 to $304. Find the percentage decrease.
Answer: 20%
- Change = 380 − 304 = 76
- 76 ÷ 380 × 100 = 20%
8.After a 5% decrease, a price is $684. What was the original price?
Answer: $720
- New price = 95% of the original
- Original = 684 ÷ 0.95
- = $720
9.A price changes from $480 to $336. Find the percentage decrease.
Answer: 30%
- Change = 480 − 336 = 144
- 144 ÷ 480 × 100 = 30%
10.After a 15% decrease, a price is $238. What was the original price?
Answer: $280
- New price = 85% of the original
- Original = 238 ÷ 0.85
- = $280
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