Question

By selling an article for Rs. $3200$, a dealer suffers a loss equal to $\frac{1}{5}$ of his investment. At what price should he had sold it to make a gain of $10\%$?

• A. Rs. $3960$
• B. Rs. $4400$
• C. Rs. $5280$
• D. None of these

Answer 1

The correct option is B Rs. $4400$

Let his CP was $x$
Loss $=\frac{x}{5}$
SP = CP $-$ Loss
$\Rightarrow 3200=x-\frac{x}{5}$

$\Rightarrow \frac{4x}{5}=3200$

$\Rightarrow x=\frac{3200\times 5}{4}$
$\Rightarrow x=4000$
Hence CP $=$ Rs. $4000$
To get $10\%$ gain,
SP $=\frac{110}{100}\times 4000=$ Rs.$4400$