When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is ...................

Let marked price of monthly train pass = Rs. 100

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

Let cost price = $$Rs. x$$

=> Profit % = $$\frac{80 - x}{x} \times 100 = 44$$

=> $$\frac{80 - x}{x} = \frac{44}{100} = \frac{11}{25}$$

=> $$2000 - 25x = 11x$$

=> $$11x + 25x = 36x = 2000$$

=> $$x = \frac{2000}{36} = $$ Rs. $$55.56$$

If discount is 29%, => Selling price = $$\frac{(100 - 29)}{100} \times 100 = Rs. 71$$

=> Profit % = $$\frac{71 - 55.56}{55.56} \times 100$$

= $$\frac{1544}{55.56} \approx 27.8\%$$

=> Ans - (D)