A started a business with ₹ 52000 and after 4 months B joined him with ₹ 39000. At the end of the year, out of the total profits B received total ₹ 20000 including `25%` of the profits as commission for managing the business. What amount did A receive?

Explanation

To solve the problem step-by-step, we will break down the information given and calculate the amounts received by A and B.

### Step 1: Determine the time of investment for A and B
- A invested ₹52,000 for 12 months.
- B invested ₹39,000 but joined after 4 months, so he invested for 8 months.

### Step 2: Calculate the capital contribution of A and B
- A's contribution = ₹52,000 * 12 months = ₹624,000
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