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Do It Yourself · Q8

Q.Ashok, Anil and Ajay are partners sharing profits equally. Anil retires from the firm. Ashok and Ajay decide to share future profits and losses in the ratio of 3 : 2. Calculate the gaining ratio.

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Gain = New Share − Old Share for each continuing partner. With old shares of 1/3 each and a new ratio of 3 : 2, Ashok gains 4/15 and Ajay gains 1/15, so the gaining ratio is 4 : 1.

The gaining ratio measures how much extra profit share each continuing partner picks up when a partner retires. It is calculated as Gain = New Share − Old Share, and it is the ratio in which the continuing partners will bear the retiring partner's share of goodwill.

As no old ratio is stated, the three partners shared equally, so each old share = 1/3. After Anil retires, Ashok and Ajay share in 3 : 2, so Ashok's new share = 3/5 and Ajay's new share = 2/5.

Ashok's gain = 3/5 − 1/3 = (9 − 5)/15 = 4/15. …

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