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Illustrations · Illustration 3

Q.Murli, Naveen and Omprakash are partners sharing profits in the ratio of 3/8, 1/2 and 1/8. Murli retires and surrenders 2/3rd of his share in favour of Naveen and the remaining share in favour of Omprakash. Calculate the new profit sharing ratio and the gaining ratio of the remaining partners.

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Naveen takes 2/3 of Murli's 3/8 (= 2/8) and Omprakash takes 1/3 (= 1/8). Adding these to their old shares gives new shares of 3/4 and 1/4 — a new ratio of 3 : 1 — while the acquired amounts 2/8 : 1/8 give a gaining ratio of 2 : 1.

Concept

When a retiring partner surrenders specified fractions of his share to named partners, the gaining ratio is the ratio of the amounts actually surrendered to each, and each partner's new share is his old share plus what he acquires.

Solution

Old shares: Murli 3/8, Naveen 1/2 (= 4/8), Omprakash 1/8. Murli's 3/8 is surrendered 2/3 to Naveen and 1/3 to Omprakash. …

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