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Question

Kabir and Farid are partners in a firm sharing profits and losses in the ratio of 7:3. Kabir surrenders 2/10th from his share and Farid surrenders 1/10th from his share in favour of Jyoti; new partner.
Calculate new profit-sharing ratio and sacrifice ratio.

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Solution

(i) Calculation of new ratio:

Kabir's old share= 7/10
Farid's old share= 3/10

Jyoti acquires 2/10 from Kabir and 1/10 from Farid
Therefore, Jyoti's share= 2/10 + 1/10
= 3/10
Kabir's new ratio= 7/10- 2/10
= 5/10
Farid's new ratio= 3/10- 1/10
= 2/10

New Profit sharing ratio= 5:2:3

(ii) Calculation of sacrificing ratio:
Kabir's sacrifice= 2/10
Farid's sacrifice= 1/10

Hence, sacrificing ratio= 2:1


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