Question

The selling price of $18$ pencils is the same as cost price of $21$ pencils. Find the gain percent.

• A. $14.2\%$
• B. $22.6\%$
• C. $16.1\%$
• D. $33.3\%$

Answer 1

The correct option is A $14.2\%$

Let $SP$ of each pencils be $Rs.x$

$SP$ of $18$ pencils be $Rs.18x$

Let $CP$ of each pencils be $Rs.y$

$CP$ of $21$ pencils be $Rs.21y$

According to the question,

$18x=21y$

$\frac{x}{y}=\frac{21}{18}$

Gain$\%=\frac{SP-CP}{CP\times 100}⟹\frac{21-18}{18}\times 100=14.2\%$

Hence, gain$\%=14.2\%$.