Apples and Oranges

Algebra Level 4

A fruit seller buys a certain number of apples and half that many pairs of oranges. (In effect equal number of apples and oranges). He paid $2 for each of the apples and $1 for each of the oranges. On every fruit, he placed a retail price that was 10% more than the cost price.

After some time, all but 7 of the fruits had been sold. The fruit seller found that his revenue is equal to his cost price. His potential profit therefore, was represented by the combined retail value of the 7 remaining fruits.

What is his potential profit?

This puzzle is not an original. It is adapted from a problem posed by the great Martin Gardener.


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