A and B are partners sharing profit and loss in 2 : 1 ratio. They admitted C who agreed to contribute Rs. 50,000 towards his capital. The future profit sharing ratio of A, B and C is 2 : 3 : 3 respectively. C agreed to transfer Rs. 15,000 for Goodwill from his capital account. A’s capital account will be credited by

Rs. 15,000
Rs. 16,333
Rs. 16,667
Rs. 17,333

The correct answer is: B. Rs. 16,333

Explanation:

A and B are partners sharing profit and loss in 2 : 1 ratio. They admitted C who agreed to contribute Rs. 50,000 towards his capital. The future profit sharing ratio of A, B and C is 2 : 3 : 3 respectively. C agreed to transfer Rs. 15,000 for Goodwill from his capital account.

The amount of goodwill to be brought in by C = Rs. 50,000 x (3/8) = Rs. 22,500

The amount of goodwill to be adjusted from A’s capital account = Rs. 22,500 x (2/5) = Rs. 8,500

The amount of goodwill to be adjusted from B’s capital account = Rs. 22,500 x (3/5) = Rs. 14,000

A’s capital account will be credited by Rs. 16,333 = Rs. 8,500 + Rs. 15,000 – Rs. 15,000.

Here is a step-by-step solution:

  1. Calculate the amount of goodwill to be brought in by C:

Goodwill = New Share Capital x Old Share Ratio

Goodwill = Rs. 50,000 x (3/8) = Rs. 22,500

  1. Calculate the amount of goodwill to be adjusted from A’s capital account:

Goodwill to be adjusted = Goodwill brought in x Old Share Ratio

Goodwill to be adjusted = Rs. 22,500 x (2/5) = Rs. 8,500

  1. Calculate the amount of goodwill to be adjusted from B’s capital account:

Goodwill to be adjusted = Goodwill brought in x Old Share Ratio

Goodwill to be adjusted = Rs. 22,500 x (3/5) = Rs. 14,000

  1. Calculate the amount of goodwill to be credited to A’s capital account:

Goodwill to be credited = Goodwill to be adjusted + Goodwill brought in – Goodwill transferred

Goodwill to be credited = Rs. 8,500 + Rs. 15,000 – Rs. 15,000 = Rs. 16,333