A man sells two article for Rs.,5000 each neither losing nor gaining in deal. If he sold one of them

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7.Profit and Loss

hard

A man sells two article for $Rs.\,5000$ each neither losing nor gaining in the deal. If he sold one of them at a gain of $25 \%,$ the other article is sold at a loss of.......$\%$

A

$15 \frac{2}{3}$

B

$16 \frac{2}{3}$

C

$17 \frac{1}{3}$

D

$18 \frac{1}{3}$

Solution

$C.P.$ of the first article $=5000 \times \frac{100}{125}$

$=₹ 4000$

Then, loss on the second article

$=₹ 1000$

Therefore, $C.P.$ of the second article

$=₹ 6000$

Let, the loss per cent be $x \%,$ then

$\frac{6000 \times x}{100}=1000$

$x=\frac{1000 \times 100}{6000}$

$=\frac{50}{3}=16 \frac{2}{3} \%$

Standard 13

Quantitative Aptitude

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