A man sold $\frac{3}{5}^{\text {th }}$ of his articles at a gain of $20 \%$ and the remaining at the cost price. The gain earned in the transaction is

Question and options

A man sold

\frac{3}{5}^{\text {th }}

of his articles at a gain of

20 \%

and the remaining at the cost price. The gain earned in the transaction is

$8 \%$
$14 \%$
$12 \%$
$16 \%$

Answer and explanation

Correct answer: C - $12 \%$

Overall gain = (3/5)x20% + (2/5)x0% = 12% of cost. Selling the remaining two-fifths at cost adds no gain, so the 20% gain is earned on only three-fifths of the outlay, not all of it.

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A man sold \(\frac{3}{5}^{\text {th }}\) of his articles at a gain of \(20 \%\) and the remaining at the cost price. The gain earned in the transaction is