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1. The 8" pizza sells for $ 4.99 at my favorite pizza store. The store claims they have a great deal on the large 12" pizza, which is specially priced at $ 10.10. What is the per cent discount the store is offering?
The small pizza has a diameter of 8" and therefore an area proportional to 82.
The large pizza has a diameter of 12" and therefore an area proportional to 122.
If the pizzas are priced in accordance with their areas, then
Price of large pizza / Price of small pizza = (12 / 8)2 = 2.25 or
Price of large pizza = 2.25 × 4.99 = 11.23.
Thus, Discount on large pizza = [1 − (10.10 / 11.23)] × 100 = 10 %.
Food for thought:
Can you think of items which are priced in accordance with their weights or volumes?