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Percentage Comparison Problems

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Percentage Comparison Problems

Compare percentage changes and discounts. Show your calculations for written questions.

Choose the best answer

1.A bookshop raises the price of a novel from $40 to $46. Another bookshop raises a novel from $60 to $69. Which price change has the larger percentage increase?

The $40 price, by 15%
The $60 price, by 15%
Both increases are equal
There is not enough information

2.A book costs $90 before a sale at one shop and $120 before a sale at another. The first shop gives 20% off; the second gives 15% off. Which discount saves more money?

The first shop saves $18
The second shop saves $17
The discounts save the same amount
The second shop saves $15

3.A bookshop’s weekly sales fell from $2,400 to $2,160. What was the percentage decrease?

4.Which change is the greatest percentage increase?

From 30 to 39
From 50 to 60
From 75 to 90
From 120 to 150

Work it out

5.Wiremu and Tevita compare their bookshop quiz scores. Wiremu gets 21 correct answers out of 28; Tevita gets 18 out of 24. Calculate each percentage and say whose score is higher.

6.A bookshop’s delivery van loses value from $32,000 to $27,200. A nearby courier bike loses value from $12,000 to $9,600. Which has the greater percentage decrease? Show calculations.

7.At a bookshop, 28% of a number of bookmarks equals 196. How many bookmarks is the original number?

Compare offers and explain

8.Finn is choosing one $90 book from a bookshop sale. Offer A takes 18% off. Offer B takes $16 off purchases costing at least $80. Work out the saving from each offer and identify the better deal.

9.In your own words, explain how calculating a percentage increase differs from comparing two percentages. Give one numerical example of each.

10.Make up a percentage comparison involving two situations, calculate both percentages, and explain which is greater. Use different starting values in your situations.