When a discount of 50% is given on a shirt, the profit is 25%. If the discount is 10%, then the profit is

Let list price = Rs. $$100x$$

After 50% discount, selling price = $$\frac{50}{100} \times 100x$$ = Rs. $$50x$$

Let Cost price = Rs. $$y$$

=> Profit % = $$\frac{50x - y}{y} \times 100 = 25$$

=> $$\frac{50x - y}{y} = \frac{25}{100} = \frac{1}{4}$$

=> $$200x - 4y = y$$

=> $$4y + y = 200x$$

=> $$y = \frac{200x}{5} = 40x$$

If discount = 10%, => Selling price = $$\frac{90}{100} \times 100x = Rs. 90x$$

$$\therefore$$ Profit % = $$\frac{90x - 40x}{40x} \times 100$$

= $$5 \times 25 = 125 \%$$