Question

The profit earned by selling an article for Rs. $900$ is double the loss incurred when the same article is sold for Rs. $450$. At what price should the article be sold to make $25$% profit?

• A. Rs. $750$
• B. Rs. $800$
• C. Rs. $600$
• D. Rs. $900$

Answer 1

The correct option is A Rs. $750$

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

Then, $900-x=2(x-450)$

$\Rightarrow 900-x=2x-900$

$\Rightarrow 3x=1800$
$\Rightarrow x=600$
i.e., C.P. $=$ Rs. $600$, Profit $=25$ $\%$
$\therefore$ S.P. of the article $=$ Rs. $\left(\frac{600\times 125}{100}\right)=$ Rs. $750$.