Question

A man sells an articles at a gain of $10\%$. If he had bought it for $10\%$ less and sold it for Rs. $10$ more, he would have gained $25\%$. Find the cost price of the article.

Answer 1

Let the cost price be x.

Therefore, selling price $y=1.1$x

According to the question

$y+10=1.25\left(0.9x\right)$

$\Rightarrow 1.1x+10=1.125x$

$\Rightarrow 0.025x=10$

$\Rightarrow x=10/0.025$

$\Rightarrow x=400$

$\therefore$ The cost price of the articles $=$Rs. $400$.