A, B and C are the partners sharing profit and loss in the ratio of 1

1.	A, B and C are the partners sharing profit and loss in the ratio of 1/2, 30% and 1/5 respectively. B’s share is taken over by A and C in the ratio of 3 : 2.
Answer» Profit and loss sharing ratio of partners A, B and C = \(\frac{1}{2}:\frac{30}{100}:\frac{1}{5}=\frac{1}{2}:\frac{3}{10}:\frac{1}{5}=5:3:2\) Partners A and C receives benefit in 3 : 2 ratio ∴ Gaining ratio for A and C = 3 : 2. Gain = share of retiring partner x gain share A’s gain = \(\frac{3}{10}\times\frac{3}{5}=\frac{9}{50}\) ; C’s gain = \(\frac{3}{10}\times\frac{2}{5}=\frac{6}{50}\) New share = Old share + Gain A’s new share = \(\frac{5}{10}+\frac{9}{50}=\frac{25+9}{50}=\frac{34}{50}\) ; C’s new share =\(\frac{2}{10}+\frac{6}{50}=\frac{10+6}{50}=\frac{16}{50}\) New profit – loss ratio of A and C =\(\frac{34}{50}:\frac{16}{50}\) = 17 : 8

A, B and C are the partners sharing profit and loss in the ratio of 1/2, 30% and 1/5 respectively. B’s share is taken over by A and C in the ratio of 3 : 2.

Answer»

Profit and loss sharing ratio of partners A, B and C

= \(\frac{1}{2}:\frac{30}{100}:\frac{1}{5}=\frac{1}{2}:\frac{3}{10}:\frac{1}{5}=5:3:2\)

Partners A and C receives benefit in 3 : 2 ratio

∴ Gaining ratio for A and C = 3 : 2.

Gain = share of retiring partner x gain share

A’s gain = \(\frac{3}{10}\times\frac{3}{5}=\frac{9}{50}\) ;

C’s gain = \(\frac{3}{10}\times\frac{2}{5}=\frac{6}{50}\)

New share = Old share + Gain

A’s new share = \(\frac{5}{10}+\frac{9}{50}=\frac{25+9}{50}=\frac{34}{50}\) ;

C’s new share =\(\frac{2}{10}+\frac{6}{50}=\frac{10+6}{50}=\frac{16}{50}\)

New profit – loss ratio of A and C =\(\frac{34}{50}:\frac{16}{50}\) = 17 : 8