When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is

Let marked price of sweater = Rs. 100

When discount of 20% is given, => Selling price of sweater = $$\frac{(100 - 20)}{100} \times 100 = Rs. 80$$

Let cost price = $$Rs. x$$

=> Profit % = $$\frac{80 - x}{x} \times 100 = 28$$

=> $$\frac{80 - x}{x} = \frac{28}{100} = \frac{7}{25}$$

=> $$2000 - 25x = 7x$$

=> $$7x + 25x = 32x = 2000$$

=> $$x = \frac{2000}{32} = $$ Rs. $$62.5$$

If discount is 14%, => Selling price = $$\frac{(100 - 14)}{100} \times 100 = Rs. 86$$

=> Profit % = $$\frac{86 - 62.5}{62.5} \times 100$$

= $$\frac{2350}{62.5} \approx 37.6\%$$

=> Ans - (D)