Question

Amit gives $a$ $\%$ discount on selling a $T.V$ whose $M.P$ is $b.$ If he gets $c$ $\%$ profit on this, then find its cost price.

Answer 1

Market price $=b$

discount $=a\%$

Selling price $=b-b\times \frac{a}{100}$

$=b-\frac{ab}{100}$

Let cost price is $x$

Profit $=c\%$

so selling price $=x+\frac{xc}{100}$

Now

$b-\frac{ab}{100}=x(1+\frac{c}{100})$

$x=\left(\frac{100b-ab}{100+c}\right)$