A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?
- A.7/15
- B.8/15
- C.2/5
- D.4/5
Correct Answer: Option C
Explanation
Let his allowance = y.
(Books = frac{y}{5})
(Remainder: y – frac{y}{5} = frac{4y}{5})
(Food: frac{1}{2} times frac{4y}{5} = frac{2y}{5})
(Contingencies: frac{4y}{5} – frac{2y}{5} = frac{2y}{5})
Therefore, he kept (frac{2}{5}) of his allowance for contingencies.