Question

A man bought an articles and sold it at a gain of $5\%$. If he had bought it at $5\%$ less and sold it for Rs. $1$ less, he would have made a profit of $10\%$. The CP of the article was

• A. Rs. $150$
• B. Rs. $200$
• C. Rs. $300$
• D. None of these

Answer 1

The correct option is B Rs. $200$

Let original CP of the article was $x$
First case:
$SP=x+5\%$ of $x=\frac{105x}{100}$
Second case:
He bought article at $5\%$ less
$CP=x-5\%$ of $x=\frac{95x}{100}$
$SP=\frac{105x}{100}-1$
Gain 10%
SP - CP = Gain
$\frac{105x}{100}-1-\frac{95x}{100}=10\%$ of $\frac{95x}{100}$
$\frac{10x}{100}-1=\frac{95x}{1000}$
$0.1x-1=0.095x$
$0.005x=1$
$x=200$
So, original CP was Rs. $200$.