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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 14" pizza, which is specially priced at $ 12.23. 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 14" and therefore an area proportional to 142.
If the pizzas are priced in accordance with their areas, then
Price of large pizza / Price of small pizza = (14 / 8)2 = 3.06 or
Price of large pizza = 3.06 × 4.99 = 15.28.
Thus, Discount on large pizza = [1 − (12.23 / 15.28)] × 100 = 20 %.
Food for thought:
Can you think of items which are priced in accordance with their weights or volumes?