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
jamb 2009mathematics

The correct answer is C. 2/5

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.

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