Question 5

A fruit-seller sells apples, oranges and pineapples. In his stock, $$20\%$$ are pineapples and $$60\%$$ are oranges. There are $$40$$ apples. If half the oranges are replaced by pineapples, how many pineapples are there in the shop now?

Solution

Pineapples form $$20\%$$ and oranges form $$60\%$$ of the stock which means that apples form the remaining $$20\%$$ of the stock.

The number of applies equals $$40$$, so the total stock is $$\frac{40}{0.2}=200$$. Initially there are $$40$$ pineapples and $$120$$ oranges. Replacing half the oranges adds $$60$$ pineapples, giving $$40+60=100$$ pineapples.

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