Anju and Manju are partners in a firm sharing profits and losses in the ratio of 3:2. A new partner Seema is admitted. Anju surrenders 1/5th share of her profits and Manju 2/5th of her share in favor of Seema. Here, the new profit sharing ratio of the partners will be:

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12:6:7

15:10:6

3:2:7

12:10:6

answer is A.

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Detailed Solution

Concept-
A formal agreement between two or more parties to run a business and split the profits is called a partnership. Each partner in a general partnership shares in the profit and the risk of the loss. A limited partner in a limited partnership can invest without taking on active responsibilities or personal financial obligations, while the lone general partner assumes the role and responsibilities.
Find the sums of Anju and Manju's shares in the partnership, which will become Seema's portion, then locate their remaining shares and calculate their ratios.
Find the sums of Anju and Manju's shares in the partnership, which will become Seema's portion, then locate their remaining shares and calculate their ratios.
Given that Anju and Manju get a 3:2 portion of the pie,
Share of Anju’s =

Share of Manji’s =

Anju giving up his portion in favor of Seema =

Manju giving up his portion in favor of Seema=

Thus the remaining share of Anju and Manju are:
Anju’s =

Manju’s =

Consequently, the partners' new profit-sharing ratio will be

Hence, the correct answer is 1) 12 : 6 : 7

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