Vikas and Rahul are partners who shares profits in the ratio of 2:3. They admitted Sunil as a partner for 3/7 th share in future profits who brings 37,500 as his share of Goodwill. Half of which is withdrawn by sacrificing partners. Record Journal entry for Goodwill withdrawn by Partners.

The correct option is:
Vikas's Capital A/c Dr 7,500
Rahul's Capital A/c Dr 11,250
To Bank A/c. 18,750

Step-by-step Explanation:

1. Understanding the Distribution of Goodwill:
When a new partner is admitted, the premium for goodwill brought in by him is shared among the sacrificing partners in their sacrificing ratio. Here, Vikas and Rahul share profits in the ratio of 2:3. In the absence of any other information, their profit-sharing ratio (2:3) is also their sacrificing ratio.
Sunil brings 37,500 as his share of Goodwill. This goodwill is first credited to the sacrificing partners' capital accounts in their sacrificing ratio (2:3):
Vikas's share of goodwill = 37,500 × (2/5) = 15,000
Rahul's share of goodwill = 37,500 × (3/5) = 22,500

2. Calculating the Amount Withdrawn:
The problem states that half of the goodwill share is withdrawn by the sacrificing partners. Therefore, we calculate half of the respective goodwill amounts credited to their capital accounts:
Amount withdrawn by Vikas = 15,000 / 2 = 7,500
Amount withdrawn by Rahul = 22,500 / 2 = 11,250
Total amount withdrawn from the bank = 7,500 + 11,250 = 18,750 (which is also 37,500 / 2)

3. Journal Entry for Withdrawal:
When partners withdraw cash/bank balance from the business, their capital accounts are debited (as their capital decreases) and the Bank/Cash account is credited (as the asset decreases).
Hence, the journal entry is:
Vikas's Capital A/c Dr. 7,500
Rahul's Capital A/c Dr. 11,250
To Bank A/c. 18,750