By selling an article for a certain amount, a man gains $30\%$ profit. If he doubles the selling price, what will be his profit percentage?

The correct option is C: $160\%$

Initial Profit $\%=30\%$ [Given]
Let the cost price of the article be $x.$

Then, selling price of the article $=x+30\%$ of $x=x+\frac{30}{100}x=x+0.3x=1.3x$

When the selling price is doubled, then selling price $=2\times 1.3x=2.6x$

Profit percentage $=\frac{2.6x-x}{x}\times 100=160\%$