An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at x% profit. What is the value of x?

Let the Cp(cost price) be = $$x$$ and  Mp(Marlet price) will be = 2$$x$$

Accordig to question Two successive discount 5% and 20 % 

Selling price (sp) = $$ 2 x \times \dfrac{95}{100} \times \dfrac{80}{100} $$

$$\Rightarrow \dfrac{152}{100}x $$

Profit = selling price - cost price =$$\dfrac{152}{100}x - x $$

$$\Rightarrow \dfrac{152x-100x}{100 } = \dfrac{52}{100}x $$

$$\Rightarrow   value of x = \dfrac { \dfrac {52}{100}x} {x} \times 100 $$

value of x =$$ \dfrac{52}{100}x \times \dfrac{1}{x} \times 100 $$

$$\Rightarrow x = 52 $$Ans