Question

A shopkeeper allows $10\%$ discount on his article. What price must he mark on an article, which costs him $Rs.750$, to make a profit of $20\%$?

Answer 1

C.P= $750$, Profit= $20\%$
$S.P=\frac{120}{100}\times 750=900Rs$
Let the Mark Price of article= $Rsx$.
Then
$M.P-10\%\times M.P=S.P$

$x-\left(10\%ofx\right)=900$
$x-\frac{10x}{100}=900$

$x-\frac{10x}{100}=900$
$\frac{90x}{100}=900$
$x=\frac{900\times 100}{90}$
$x=1000Rs.$