Question

A dealer purchases $15$ articles for $\text{Rs}25$ and sells $12$ articles for $\text{Rs}30.$ Find the profit percentage.

• A. $50\%$
• B. $40\%$
• C. $20\%$
• D. $10\%$

Answer 1

The correct option is A $50\%$

C.P. of $15$ articles is $\text{Rs}25$

$\therefore$ C.P. of each article $=\frac{20}{15}=\frac{5}{3}$
S.P. of $12$ articles is $\text{Rs}30$
$\therefore$ S.P. of each article $=\frac{30}{12}=\frac{5}{2}$
Now, Profit $\%=\frac{S.P.-C.P.}{C.P.}\times 100=\frac{\frac{5}{2}-\frac{5}{3}}{\frac{5}{3}}\times 100=50\%$