Question

A tradesman sold an article at a loss of $20\%$. If the selling price had been increased by Rs. $100$, there would have been a gain of $5\%$. The cost price of the article was

• A. Rs. $200$
• B. Rs. $225$
• C. Rs. $400$
• D. Rs. $250$

Answer 1

The correct option is C Rs. $400$

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

Then, S.P. of the article at a loss of $20\%$
$=\frac{80}{100}\times x=$ Rs. $\frac{80x}{100}$
S.P. of the article at a profit of $5\%$
$=\frac{105}{100}\times x=$ Rs. $\frac{105x}{100}$
According to the question, we have
$\frac{80x}{100}+100=\frac{105x}{100}$

$\Rightarrow \frac{105x}{100}-\frac{80x}{100}=100$
$\Rightarrow x=\frac{100\times 100}{25}=$ Rs. $400$