$A$ has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount left with him now is

\frac{1}{3}

of the original

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\frac{2}{5}

of the original

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\frac{3}{4}

of the original

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\frac{1}{6}

of the original

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Solution

The correct option is A $\frac{1}{3}$ of the original
Let $A$ have $x$ amount.

Hence, according to the problem,
$x - \frac{x}{2} - (\frac{1}{3}) \frac{1}{2} x$

$\Rightarrow \frac{1}{2} x - \frac{1}{6} x$

$\Rightarrow \frac{2}{6} x$

$\Rightarrow \frac{1}{3} x$

It is the one-third of the original amount $x$ .

Hence, the amount left with him now is $\frac{1}{3}$ of the original.

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A has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount left with him now is

The correct option is A 13 of the originalLet A have x amount.Hence, according to the problem,x−x2−(13)12x⇒12x−16x⇒26x⇒13xIt is the one-third of the original amount x.Hence, the amount left with him now is 13 of the original.

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