Question

A man wanted to sell on article with $20\%$ profit; but he actually sold at $20\%$ loss for Rs. $480$. At what price did he want to sell it to earn the profit.

• A. Rs. $720$
• B. Rs. $840$
• C. Rs. $600$
• D. Rs. $750$

Answer 1

The correct option is A Rs. $720$

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

Then, S.P. $=$ Rs. $\frac{x\times (100-20)}{100}$

$\Rightarrow 480=\frac{x\times 80}{100}$

$\Rightarrow x=\frac{480\times 100}{80}$
$\Rightarrow x=$ Rs. $600$
$\therefore$ S.P. at $20\%$ profit $=$ Rs. $\frac{600\times (100+20)}{100}$
$=\frac{600\times 120}{100}=$ Rs. $720$