Question

An article is sold at a loss of $10\%$. Had it been sold for Rs. $9$ more there would have been a gain of $12\frac{1}{2}$% on it. The cost price of the article is

• A. Rs. $40$
• B. Rs. $45$
• C. Rs. $50$
• D. Rs. $35$

Answer 1

Answer: (A)

Rs. $40$

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

Then S.P. at a loss of $10\%$ $\frac{x\times 90}{100}=$ Rs. $\frac{90x}{100}$
S.P. at a gain of $12\frac{1}{2}\%=\frac{x\times 112.5}{100}=$ Rs. $\frac{112.5x}{100}$
Given, $\frac{112.5x}{100}-\frac{90x}{100}=9$
$\Rightarrow \frac{22.5x}{100}=9$

$\Rightarrow x=\frac{900}{22.5}$ $=$ Rs. $40$