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Percentage Increase Decrease

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Percentage Increase Decrease

Use percentage multipliers to find changed amounts. Show your working and include units where appropriate.

Using percentage multipliers

For an increase, add the percentage to 100% to get the multiplier. For a decrease, subtract it from 100%.

1.A rain jacket costs $96 before a 12% price increase. Write the multiplier and calculate the new price.
2.A novel originally costs $48. It is reduced by 30%. Find the multiplier and the sale price.
3.The price of apples rises from $2.40 per kg to $3.00 per kg. What is the percentage increase?
  • 20%
  • 25%
  • 30%
  • 40%

Percentage change in everyday situations

Work carefully with the original amount when finding a percentage change.

4.A tablet priced at $750 is discounted by 16%. Calculate (a) the discount amount, (b) the sale price, and (c) the multiplier.
5.Select every correct multiplier statement.
  • A 25% increase uses 1.25.
  • A 12% decrease uses 0.88.
  • A 7% increase uses 1.7.
  • A 35% decrease uses 0.65.
6.A used bicycle's value falls from $1,200 to $900. Find the percentage decrease.

Challenge

A sequence of percentage changes is applied one after the other. Use each new amount as the starting amount for the next change.

7.A sports shop reduces a $160 pair of boots by 15%, then adds 15% GST to the reduced price. What is the final price? Show both stages.
8.In one or two sentences, explain when a percentage change uses a multiplier greater than 1 and when it uses a multiplier less than 1.

2 printable pages

  • Percentage increase and decrease multiplier practice, with New Zealand shopping examples and a price-change illustration.

    Page 1

  • Real-world percentage changes, sequential discounts and GST, and a short explanation of multipliers.

    Page 2

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