- The total capital of the new firm is fixed at 480,000.
- The new profit sharing ratio between Dhirshree and Sonam is fixed at 3:1.
- There is a difference in cash that needs to be adjusted.



To distribute the capital between Dhirshree and Sonam, we first need to determine the total profit sharing ratio. The given ratio is 3:1, so the total ratio can be calculated as follows:

Total Ratio = Sum of individual ratios
= 3 + 1
= 4



To calculate the capital for each partner, we will divide the total capital (480,000) in the proportion of their profit sharing ratio.

Capital for Dhirshree = (Individual ratio/Total ratio) * Total capital
= (3/4) * 480,000
= 360,000

Capital for Sonam = (Individual ratio/Total ratio) * Total capital
= (1/4) * 480,000
= 120,000



If there is a difference in cash between the partners, it needs to be adjusted. Let's assume Dhirshree has a cash balance of 30,000 more than Sonam.

Adjusted Capital for Dhirshree = Capital for Dhirshree - Excess Cash
= 360,000 - 30,000
= 330,000

Adjusted Capital for Sonam = Capital for Sonam + Shortage Cash
= 120,000 + 30,000
= 150,000



- Dhirshree's Capital: 330,000
- Sonam's Capital: 150,000

By following the above steps, the capital of the new firm can be fixed at 480,000 between Dhirshree and Sonam in the proportion of their new profit sharing ratio, which is 3:1, while also adjusting for any difference in cash.