If cost price of 12 pens is equal to selling price of 8 pens, gain percent.

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7.Profit and Loss

hard

If the cost price of $12$ pens is equal to selling price of $8$ pens, find the gain percent.

A

$25$

B

$33$

C

$50$

D

$66 \frac{2}{3}$

Solution

Let $C.P.$ of $1$ pen be $Rs. x$

$C.P.$ of $12$ pens $=$ $S.P.$ of $8$ pens $=Rs. 12 x$

Profit $= S.P.$ of $4$ pens

$=$ $C.P.$ of $6$ pens $=Rs. 6 x$

$\operatorname{gain} \%=\frac{\text { C.P. of } 6 \text { pens }}{\text { C.P. of } 12 \text { pens }} \times 100$

$=\frac{6 x}{12 x} \times 100=50 \%$

Standard 13

Quantitative Aptitude

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