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.

There is an explanation video available below.

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