Question

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

• A. $100$
• B. $150$
• C. $200$
• D. $250$

Answer 1

Answer: (C)

$200$

Man bought an article and sold it at a gain of $5\%$.

Let original cost price is Rs. $x$

Selling price $=\frac{105}{100}\times x=\frac{21x}{20}$

New cost price $=\frac{95}{100}\times x=\frac{19x}{20}$

New selling price $=\frac{110}{100}\times \frac{19x}{20}=\frac{209}{200}x$

It is given that diffeence between old and new selling price in Rs.$1$

$\Rightarrow \frac{21x}{20}-\frac{209x}{200}=1$
$\Rightarrow x=200$

Thus, C.P. of the article is Rs.$200$.

Hence option (C) is correct.