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

Explanation

To solve the problem step by step, we need to find the marked price of the cycle given the conditions of profit and discount.

### Step 1: Understand the Profit and Selling Price
We know that the merchant makes a profit of Rs. 360 and this profit represents a 20% profit on the cost price (CP) of the cycle.

Let the cost price of the cycle be \( x \).

Since the profit is 20%, we can express this as:
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