A man sells two articles, each for Rs.,640. He earns 20 % profit on first, and 40 % profit on second

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7.Profit and Loss

hard

A man sells two articles, each for $Rs.\,640.$ He earns $20 \%$ profit on the first, and $40 \%$ profit on the second. Find his overall percent profit.

A

$29 \frac{1}{2}$

B

$28 \frac{1}{2}$

C

$29 \frac{3}{13}$

D

None of these

Solution

Here, $x=20$ and $y=40$.

$\therefore$ Overall gain \%

$=\left[\frac{100(x+y)+2 x y}{(100+x)+(100+y)}\right] \%$

$=\left[\frac{100(20+40)+2 \times 20 \times 40}{(100+20)+(100+40)}\right] \%$

$=\frac{7600}{260} \%=29 \frac{3}{13} \%$

Standard 13

Quantitative Aptitude

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