Question

A shopkeeper sells an article at a loss of $12\frac{1}{2}\%$, Had he sold it for Rs. $51.80$ more than he would have earned a profit of $6\%$. The cost price of the article is

• A. Rs. $280$
• B. Rs. $300$
• C. Rs. $380$
• D. Rs. $400$

Answer 1

The correct option is A Rs. $280$

Let the C.P. of the article be Rs. $x$

According to the question, we have
S.P. at $6\%$ profit $-$ S.P. at $12\frac{1}{2}\%$ loss $=$ Rs. $51.80$
$\Rightarrow \frac{x\times (100+6)}{100}-\frac{x\times (100-12.5)}{100}=51.80$
$\Rightarrow \frac{106x}{100}-\frac{87.5x}{100}=51.80$
$\Rightarrow \frac{18.5x}{100}=51.80\Rightarrow x=\frac{51.80\times 100}{18.5}=280$