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A student spent 1/5 of his allowance on books, 1/2 of rem...

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 is C

Let his allowance = y.

Books=y5

Remainder:yy5=4y5

Food:12×4y5=2y5

Contingencies:4y52y5=2y5

Therefore, he kept 25 of his allowance for contingencies.