Question

A man gets Rs. $13$ more by selling an article at a profit of $12\frac{1}{2}$ $\%$ than selling it at a loss of $12\frac{1}{2}$ $\%$.
What is the cost price of the article ?

• A. Rs. $28$
  
• B. Rs. $43$
  
• C. Rs. $52$
• D. Rs. $71$
  

Answer 1

The correct option is C Rs. $52$

Let the cost price of the article $=$ Rs. $x$.

Then, S.P. at $12.5\%$ Profit $=\frac{100+12.5}{100}\times x=\frac{112.5x}{100}$

S.P. at $12.5\%$ loss $=\frac{100-12.5}{100}\times x=\frac{87.5x}{100}$

According to the question, we have

$\Rightarrow \frac{112.5x}{100}-\frac{87.5x}{100}=13$
$\Rightarrow \frac{25x}{100}=13$

$\Rightarrow x=\frac{13\times 100}{25}=$ Rs. $52$