After giving 20% discount on an article there is a profit of 20%. What will be the profit per cent when no discount is given?

Let the marked price of article be Rs. x and its cost price be Rs. 100. According to the question, $x \times \frac{80}{100}=120$ $\Rightarrow x=\frac{120 \times 100}{80}=$ Rs. 150 ∴ If no discount is allowed, profit per cent = 50% Alternative: Fraction of $20 \%=\frac{1}{5}$

If no discount is given then gain per cent

$=\frac{15-10}{10} \times 100=50 \%$