Question

A dealer allows a discount of Rs 10% and still gains by 10%. What should be the marked price if the cost price is Rs 900?

Answer 1

Let the marked price be $x$

Given, $C.P=Rs900$

And discount $=$ $10\%$ of $x$

$=\frac{10}{100}\times x$

$=\frac{x}{10}$

SP $=$ MP $-$ Discount

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

$=\frac{9x}{10}$

Now, Gain $=$ S.P $-$ C.P

$\Rightarrow 10\%$ of CP $=$ S.P $-$ C.P

$\Rightarrow$$\frac{10}{100}\times 900=\frac{9x}{10}-900$

$\Rightarrow$ $90+900=\frac{9x}{10}$

$\Rightarrow$ $x=1100$

$\therefore$ Marked Price is Rs $1,100$