A started some business with ₹ 26000. After 3 months B joined him with ₹ 16000. After some more time C joined them with ₹ 25000. At the end of the year, out of a total profit of ₹ 15453, C gets ₹ 3825 as his share. How many months after B joined the business did C join?

Explanation

To solve the problem step by step, we need to determine how many months after B joined the business did C join. Here’s the detailed solution:

### Step 1: Determine the time each partner invested in the business.
- A invested ₹26,000 for 12 months.
- B invested ₹16,000 for 9 months (since he joined after 3 months).
- Let’s denote the number of months C invested as \( T \). Since C joined after B, the time C invested will be \( T \) months.

### Step 2: Calculate the investment contribution of each partner.
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