When a discount of 20% is given on a movie ticket, the profit is 34%. If the discount is 15%, 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 % = $$\frac{80 - x}{x} \times 100 = 34$$

=> $$\frac{80 - x}{x} = \frac{34}{100} = \frac{17}{50}$$

=> $$4000 - 50x = 17x$$

=> $$17x + 50x = 67x = 4000$$

=> $$x = \frac{4000}{67} = $$ Rs. $$59.70$$

If discount is 15%, => Selling price = $$\frac{(100 - 15)}{100} \times 100 = Rs. 85$$

=> Profit % = $$\frac{85 - 59.70}{59.70} \times 100$$

= $$\frac{2530}{59.70} \approx 42.375\%$$

=> Ans - (B)