Question

The ratio which is obtained by deductee old ratio from new ratio

Answer 1

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There are different cases when partnership can have new profit sharing ratio:

Sometimes the partners may decide to change their existing profit sharing ratio, without any admission or retirement of partner,
At the time of admission of the new partner
At the time of retirement or death of an old partner
This may result in a gain to a few partners and loss to others. The partners who are in profit due to this change in the profit sharing ratio should compensate the sacrificing partner/partners.

New profit sharing ratio: Ratio in which the partners decide to share profits/losses in future.
Gaining ratio: Ratio in which the partners have agreed to gain their share of profit from other partners.
Sacrificing ratio: Ratio in which the partners have agreed to sacrifice their share of profit in favour of other partners. Sacrificing ratio= Old Ratio – New Ratio
New Profit Sharing and Gaining Ratio

Gaining Ratio
Gaining ratio is calculated at the time of retirement or death of a partner. It is the ratio in which the remaining partners acquire the outgoing partner’s share of profit.

When the partner retires, the profit sharing ratio of the continuing partners gets changed. Continuing partners distribute the share of retiring partner among them.

Gaining ratio= New Ratio – Old Ratio (if positive)

Solved Examples for You
Various cases of new ratio and gaining ratio are explained as follows:

Case 1: When the share of retiring partner is acquired by old partners in an old ratio
Amit, Sumit, and Punit share profit and losses in the ratio of 3:2:1, respectively. Amit retires and the remaining partners decide to share to take Amit’s share in the existing ratio i.e. 2:1. Calculate the new ratio and gaining ratio.

Solution: The existing ratio between Sumit and Punit= 2/6 and 1/6

Amit’s ratio (retiring partner) = 3/6

Amit’s share taken by Sumit and Punit in the ratio of 2:1

Sumit gets = 3/6 * 2/3 = 6/18

Punit gets = 3/6 * 1/3 = 3/18

New ratio between Sumit and Punit is = 6:3 = 2:1

Gaining ratio= New Ratio – Old Ratio

Sumit’s gain = 2/3 – 2/6 = 2/6

Punit’s gain = 1/3 – 1/6 = 1/6

Gaining ratio = 2:1

New Ratio = 2:1

Case 2: When the share of retiring partner is acquired by old partners in old specified proportions
Amit, Sumit, and Punit share profit and losses in the ratio of 2:3:1, respectively. Amit retires and the remaining partners decide to share to take Amit’s share equally. Calculate the new ratio and gaining ratio.

Solution: The existing ratio between Sumit and Punit= 3/6 and 1/6

Amit’s ratio (retiring partner) = 2/6

Amit’s share taken by Sumit and Punit in the ratio of 1:1

Sumit gets = 2/6 * 1/2 = 1/6

Sumit’s new share = 3/6 + 1/6 = 4/6

Punit gets = 2/6 * 1/2 = 1/6

Punit’s new share = 1/6 + 1/6 = 2/6

New ratio between Sumit and Punit is = 4:2 = 2:1

Gaining ratio is given the question i.e. 1:1

Gaining ratio = 1:1

New Ratio = 2:1

Case 3: When the share of retiring partner is acquired fully by one of the continuing partners
Amit, Sumit, and Punit share profit and losses in the ratio of 4:5:2, respectively. Amit retires and Punit acquires Amit’s share. Calculate the new ratio and gaining ratio.

Solution: Punit’s new share = 2/11 + 4/11 = 6/11

Sumit share remains unchanged = 5/11

The new ratio between Sumit and Punit is = 5:6

Gaining ratio in this case between Sumit and Punit will be

Sumit’s gain = 5/11 – 5/11 = Nil

Punit’s gain = 6/11 – 2/11 = 4/11

This shows that entire gain is taken by Punit