Question

By selling $8$ dozen pencils, a shopkeeper gains the selling price of $1$ dozen pencils. What is the gain?

• A. $12\frac{1}{2}\%$
• B. $13\frac{1}{7}\%$
• C. $14\frac{2}{7}\%$
• D. $87\frac{1}{2}\%$

Answer 1

The correct option is C $14\frac{2}{7}\%$

We know that S.P. $=$ C.P. $+$ Gain
$\Rightarrow$ S.P. of $8$ dozen $=$ C.P. of $8$ dozen $+$ S.P. of $1$ dozen
$\Rightarrow$ S.P. of $7$ dozen $=$ C.P. of $8$ dozen
$\Rightarrow$ By selling $7$ dozen, he gain $1$ dozen
Therefore, gain $\%$ $=\frac{1}{7}\times 100\%$ $=14\frac{2}{7}\%$