Question

Suman sells a machine for $Rs13500$. She loses $10\%$ on it.What was the price at which she bought it?

Answer 1

Let the cost price of machine be $Rs.x$

Selling price of machine $=Rs.13500$

Now according to the question,

$x-10\%$ of $x=13500$

$x-\frac{10}{100}x=13500$

$x-\frac{1}{10}x=13500$

$\frac{10x-x}{10}=13500$

$9x=13500\times 10$

$x=\frac{135000}{9}=15000$

Hence the she bought the machine for $Rs.15000$.