Question

A, B, C and D are partners. a and b share 2/3 of profits equally and C and D share remaining profits in the ratio of 3:2. fine the profit sharing ratio of a, b, c and d.

Answer 1

Given:  A, B, C and D are partners. A and B share $\frac{2}{3}$ of profits equally

To Find: Profit sharing ratio of A, B, C and D.

Solution:

Let total share = 1

A and B share $\frac{2}{3}^{rd}$ of the profit equally

∴ 1 ×  $\frac{2}{3}$ =  $\frac{2}{3}$

Left out Share = 1 -  $\frac{2}{3}$

                        = $\frac{1}{3}$

A's Share =  $\frac{2}{3}$ × $\frac{1}{2}$

                = $\frac{2}{6}$

B's Share =  $\frac{2}{3}$ × $\frac{1}{2}$

                = $\frac{2}{6}$

C's Share = $\frac{1}{3}$ × $\frac{3}{5}$

                = $\frac{3}{15}$

D's Share = $\frac{1}{3}$ × $\frac{2}{5}$

                = $\frac{2}{15}$

So, Profit sharing ratio of A : B : C : D

                                         $\frac{2}{6}$ : $\frac{2}{6}$ : $\frac{3}{15}$ : $\frac{2}{15}$

                                    or, $\frac{10}{30}$ : $\frac{10}{30}$ : $\frac{6}{30}$ : $\frac{4}{30}$

                                    or, 5 : 5 : 3 : 2  ( option A )