Question

A man buys pencils at the rate of $6$ for Rs. $5$ and sells them at $5$ for Rs. $6$. What is his profit $\%$?

• A. $30$
• B. $35$
• C. $40$
• D. $44$

Answer 1

Answer: (D)

C.P. of $1$ pencil $=$ Rs. $\frac{5}{6}$
S.P. of 1 pencil $=$ Rs. $\frac{6}{5}$
$\therefore$ Profit $=$ S.P. $-$ C.P.
$=$ Rs. $(\frac{6}{5}-\frac{5}{6})=\frac{36-25}{30}=$ Rs. $\frac{11}{30}$
$\therefore$ Profit $\%=$ $(\frac{11/30}{5/6}\times 100)$ $\%$
$=(\frac{11}{30}\times \frac{6}{5}\times 100)$ $\%=44\%$