An article was sold for $Rs.y$ after giving a discount of $x\%$. Then, its Marked price is :

The correct option is A: $\frac{100y}{100-x}$

Given: Selling Price $=y$

Discount $\%=x\%$

Let the marked price be M.P

Selling price after giving $x\%$ discount $=M.P-x\%ofM.P$

$=(1-x\%)\times M.P$

$=(1-\frac{x}{100})\times M.P$

$=\left(\frac{100-x}{100}\right)\times M.P$

Selling price is given as $Rs.y.$

$\therefore \left(\frac{100-x}{100}\right)\times M.P=y$

$M.P=\frac{100y}{(100-x)}$