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Year 9 Percentage Increase and Decrease Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 9 percentages worksheet.

Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Percentages

Year 9 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 $480 to $528. Find the percentage increase.

Answer: 10%

  1. Change = 528 − 480 = 48
  2. 48 ÷ 480 × 100 = 10%
2.After a 30% increase, a price is $910. What was the original price?

Answer: $700

  1. New price = 130% of the original
  2. Original = 910 ÷ 1.3
  3. = $700
3.After a 30% increase, a price is $104. What was the original price?

Answer: $80

  1. New price = 130% of the original
  2. Original = 104 ÷ 1.3
  3. = $80
4.A price changes from $60 to $36. Find the percentage decrease.

Answer: 40%

  1. Change = 60 − 36 = 24
  2. 24 ÷ 60 × 100 = 40%
5.After a 5% decrease, a price is $494. What was the original price?

Answer: $520

  1. New price = 95% of the original
  2. Original = 494 ÷ 0.95
  3. = $520
6.After a 30% increase, a price is $1014. What was the original price?

Answer: $780

  1. New price = 130% of the original
  2. Original = 1014 ÷ 1.3
  3. = $780
7.A price changes from $720 to $540. Find the percentage decrease.

Answer: 25%

  1. Change = 720 − 540 = 180
  2. 180 ÷ 720 × 100 = 25%
8.After a 40% increase, a price is $280. What was the original price?

Answer: $200

  1. New price = 140% of the original
  2. Original = 280 ÷ 1.4
  3. = $200
9.After a 25% increase, a price is $475. What was the original price?

Answer: $380

  1. New price = 125% of the original
  2. Original = 475 ÷ 1.25
  3. = $380
10.After a 60% increase, a price is $1184. What was the original price?

Answer: $740

  1. New price = 160% of the original
  2. Original = 1184 ÷ 1.6
  3. = $740
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