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(a) Ram and Shyam are partners sharing profits and losses in the raito of $\frac{7}{12}:\frac{5}{12}.$ They admit Gopi as a new partner for 1/6 th share, which he acquires equally from Ram and Shyam. Calculate the new profit ratios of the partners.

(b) A, B and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits , which he acquired 1/16th from B and 1/16th from C.

Calculate the new profit sharing ratio of A, B, C and D.

(a)

$\mathrm{Ram}\mathrm{Shyam}=7:5(\mathrm{Old}\mathrm{ratio})\phantom{\rule{0ex}{0ex}}\mathrm{Gopi}\text{'}\mathrm{s}\mathrm{share}=\frac{1}{6}\phantom{\rule{0ex}{0ex}}\mathrm{Acquired}\mathrm{from}\mathrm{Ram}=\frac{1}{6}\times \frac{1}{2}=\frac{1}{12}\phantom{\rule{0ex}{0ex}}\mathrm{Acquired}\mathrm{from}\mathrm{Shyam}=\frac{1}{6}\times \frac{1}{2}=\frac{1}{12}\phantom{\rule{0ex}{0ex}}\mathrm{Ram}\text{'}\mathrm{s}\mathrm{New}\mathrm{Share}=\frac{7}{12}-\frac{1}{12}=\frac{6}{12}\phantom{\rule{0ex}{0ex}}\mathrm{Shyam}\text{'}\mathrm{s}\mathrm{New}\mathrm{Share}=\frac{5}{12}-\frac{1}{12}=\frac{4}{12}\phantom{\rule{0ex}{0ex}}\mathrm{Ram}:\mathrm{Shyam}:\mathrm{Gopi}=\frac{6}{12}:\frac{4}{12}:\frac{1}{6}\mathrm{or}\frac{6}{12}:\frac{4}{12}:\frac{2}{12}$

(b)

Refer to answer of question 2 in the below link

https://www.meritnation.com/cbse-class-12-commerce/accountancy/cbse-class-12-accountancy-board-paper-2016-delhi-set-1-solutions/board-papers/starttest/pweJExboYgRBE6z9dZzlBA!!

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