Mathematics

A student spent 1/5 of his allowance on books, 1/2 of remainder on food and…

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.