If selling price of 50 articles is equal to cost price of 40 articles, then loss or gain percent is&

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7.Profit and Loss

medium

If the selling price of $50$ articles is equal to the cost price of $40$ articles, then the loss or gain percent is

A

$20 \%$ loss

B

$20 \%$ gain

C

$25 \%$ loss

D

$25 \%$ gain

Solution

$S.P.$ of $50$ articles $=$ $C.P.$ of $40$ article

$\therefore \quad$ $C.P.$ of $1$ article $=$ $S.P.$ of $1.25$ article

$\%$ loss $=\frac{\text { C.P. }-\text { S.P. }}{\text { C.P. }} \times 100$

$=\frac{\text { S.P. of } 1.25 \text { article }-\text { S.P. of } 1 \text { article }}{\text { S.P. of } 1.25 \text { article }} \times 100$

$=\frac{0.25}{1.25} \times 100=20 \%$

Standard 13

Quantitative Aptitude

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