A cycle merchant allows 25% discount on the marked price of the cycles and still makes a profit of 20%. If he gains rs. 360 over the sale of one cycle, find the marked price of the cycle.

Let marked price of the article = Rs. $$100x$$

Discount % = 25%

=> Selling price = $$100x-(\frac{25}{100}\times100x)$$

= $$100x-25x=Rs.$$ $$75x$$

Profit % = 20%

=> Cost price = $$\frac{75x}{(100+20)}{}\times100$$

= $$\frac{75x}{6}\times5=Rs.$$ $$62.5x$$

According to ques, => Profit = $$75x-62.5x=360$$

=> $$x=\frac{360}{12.5}=28.8$$

$$\therefore$$ Marked price of the cycle = $$100\times28.8=Rs.$$ $$2880$$

=> Ans - (C)