A man bought and article and sold it at a gain of 10%. If he had bought it at 20% less and sold it for Rs 10 more, he would have made a profit of 40%. Find the C.P. of the article?

Explanation

To solve the problem, let's break it down step by step.

### Step 1: Define the Variables
Let the cost price (C.P.) of the article be Rs. X.

### Step 2: Calculate the Selling Price (S.P.) with 10% Gain
The selling price when the man sells the article at a gain of 10% can be calculated using the formula:
\[ \text{Selling Price} = \text{Cost Price} + \text{Gain} \]
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