Explanation:

- Raju and Arun invest in the ratio of 7:9.

- After 6 months, Jitu joins with two-thirds of Arun's capital.

- To find the total profit: Calculate the total investment time for each partner over the year.

- Raju's investment is for 12 months, Arun's also for 12, and Jitu's for 6.

- Convert the ratio into a common base by considering both the amount and duration:

- Raju: 7 × 12 = 84

- Arun: 9 × 12 = 108

- Jitu: (2/3) × 9 × 6 = 36

- Total investment ratio: 84 + 108 + 36 = 228.

- Raju's share of profit is 84/228 of total profit.

- Given Raju's share is Rs 5600, calculate the total profit:

- Total profit = (5600 ÷ 84) × 228 = Rs 15200.

- Option 1: 15200 is the correct answer.