Using percentages for expressing discounts and comparing prices
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Question 5
Two shops have potatoes of the same quality for sale. Both are offering a discount. Which is the better buy?
| Item | Original price ($) | Discount (%) | |
|---|---|---|---|
| Shop 1 | 10 kg potatoes | 12.50 | 11 |
| Shop 2 | 10 kg potatoes | 15.00 | 18 |
Solution
Shop 1
100% − 11% = 89% , the new sale price will be 89% of the original price.
Sale price for the first discount = 0.89 × 12.5 = $11.13.
Shop 2
100% − 18% = 82% , the new sale price will be 82% of the original price.
Sale price for the second discount = 0.82 × 15 = $12.30.
The better buy is the 11% discount as the sale price is less.
Question 6
Two shops have bananas of the same quality for sale. Both are offering a discount. What is the cost of 5 kg at each shop after the discount has been applied?
| Item | Original price ($) | Discount (%) | |
|---|---|---|---|
| Shop 1 | 5 kg bananas | 15.00 | 10 |
| Shop 2 | 5 kg bananas | 17.00 | 15 |
| a | $
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| b | $
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