Question

A wholesale dealer sold his goods to a retail dealer at a profit of $12\frac{1}{2}$ $\%$. The retail dealer gained $20\%$ by selling the goods for Rs. $3240$. The cost price of the whole sale dealer was

• A. Rs. $2625$
• B. Rs. $2575$
• C. Rs. $2500$
• D. Rs. $2400$

Answer 1

The correct option is D Rs. $2400$

Let the C.P. of the wholesale dealer $=$ Rs. $x$

Then S.P. of the wholesale dealer $=\frac{x\times 112.5}{100}$

$=$ Rs. $\frac{112.5x}{100}$

C.P. of the retail dealer $=$ Rs. $\frac{112.5x}{100}$

Gain $=20\%$ [Given]

$\therefore$ S.P of the retail dealer $=\frac{112.5x}{100}\times \frac{120}{100}$

Given, $\frac{112.5x}{100}\times \frac{12}{10}=3240$

$\Rightarrow x=$ Rs. $\frac{3240\times 1000}{112.5\times 12}=$ Rs. $2400$