Question

A person sold an article for Rs. $230$ and incurred a loss of $8\%$..What should be the selling price in order to earn a profit of $8\%$?

• A. Rs. $430$
• B. Rs. $320$
• C. Rs. $270$
• D. Rs. $180$

Answer 1

The correct option is C Rs. $270$

S.P of the article $=$ Rs. $230$

Loss $=8\%$

$\therefore$ C.P. $=\frac{100}{100-\text{loss}\%}\times$ S.P.

$=\frac{100}{100-8}\times 230$

$=\frac{100}{92}\times 230$

$=$ Rs. $250$

C.P of the article $=$ Rs. $250$

Profit $=8\%$

$\therefore$ S.P. $=\frac{100+\text{profit}\%}{100}\times$ C.P.

$\Rightarrow \frac{108}{100}\times 250=$ Rs. $270$