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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #9308)