A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 36. 75 less, he would have gained 30%. Find the cost price of the article.

Explanation

To solve the problem step by step, we will first define the variables and then set up the equations based on the information given in the question.

### Step 1: Define the Cost Price
Let the initial cost price of the article be Rs. X.

### Step 2: Calculate Selling Price at 25% Profit
If the man sells the article at a profit of 25%, then the selling price (SP) can be calculated as:
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