Question

A man sells an article at a gain of $10\%$. If he had bought it at $10\%$ less and sold it for Rs. $132$ less, he would have still gained $10\%$. What is the costprice of the article?

• A. Rs. $1700$
• B. Rs. $1500$
• C. Rs. $1200$
• D. Rs. $1100$

Answer 1

Answer: (C)

Rs. $1200$

Let the C.P. $=$ Rs. $x$. Gain $=10\%$
S.P. $=$ Rs. $\frac{110x}{100}=\frac{11x}{10}$

New C.P. $=$ Rs. $\frac{90x}{100}=$ Rs. $\frac{9x}{10}$

Now S.P. $=110$% of Rs. $\frac{9x}{10}=$ Rs. $\frac{99x}{100}$

$\therefore \frac{11x}{10}-\frac{99x}{100}=132$

$\Rightarrow \frac{11x}{100}=132$
$\Rightarrow x=\frac{132\times 100}{11}=$ Rs. $1200$