When a discount of 25% is given on a cruise trip, the profit is 41%. If the discount is 26%, then the profit is

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

After 25% discount, selling price = $$\frac{100 - 25}{100} \times 100x$$ = Rs. $$75x$$

Let Cost price = Rs. $$y$$

=> Profit % = $$\frac{75x - y}{y} \times 100 = 41$$

=> $$\frac{75x - y}{y} = \frac{41}{100}$$

=> $$7500x - 100y = 41y$$

=> $$y = \frac{7500x}{141} \approx Rs$$ $$53.2x$$

If, discount = 26%, => Selling price = $$\frac{100 - 26}{100} \times 100x = Rs. 74x$$

$$\therefore$$ Profit % = $$\frac{74x - 53.2x}{53.2x} \times 100 = \approx 39.12\%$$

Ans - (A)