When a partner retires from a partnership firm, the remaining (continuing) partners often need to compensate the retiring partner for their share of the firm's accumulated goodwill. This ensures the retiring partner receives their due share of the business value they helped build.
The ratio in which the continuing partners increase their share of profit upon the retirement of a partner is known as the gaining ratio. It is calculated as:
$ \text{Gaining Ratio} = \text{New Share of Continuing Partner} - \text{Old Share of Continuing Partner} $
The compensation paid by the continuing partners to the retiring partner for their share of goodwill is done in this specific gaining ratio.
Therefore, the compensation for the retiring partner's goodwill is made by the continuing partners in their gaining ratio.
X and Y are partners sharing profits and losses in the ratio of 3 ∶ 2. They admit Z as a new partner with 1/5 share in the profits. Calculate the new profit sharing ratio of the partners.
Ram and Shyam are partners in a firm with capital of ₹ 4,80,000 and ₹ 3,10,000, respectively. They admitted Ganesh as a partner with $\frac{1}{4}$th share of profit. Ganesh brings ₹ 3,00,000 as his capital. Ganesh's share of goodwill will be