Anita and Bindu are partner in firm sharing profits in the ratio of 3 : 2. They admitted Meria as a new partner for 1/4 share. The new profit sharing ratio between Anita and Bindu will be 2 : 1. What will be the their sacrificing ratio?

2 : 3

The correct answer is option 3- 2:3.

Old ratio = 3:2 (Anita and Bindu)
Meria = 1/4
New ratio = 2:1 (Anita and Bindu)

Let total share = 1
Meria = 1/4
Remaining share = 1- 1/4
                         = 3/4

This 3/4th is shared between Anita and Bindu in 2:1.

Anita's new share = 3/4 x 2/3
                          = 1/2

Bindu's share = 3/4 x 1/3
                     = 1/4

Sacrifice of Anita's share = 3/5 - 1/2
                                     = (6-5)/10
                                     = 1/10

Sacrifice of Bindu's share = 2/5 - 1/4
                                      = (8-5)/20
                                      = 3/20

Sacrificing ratio = 1/10 :3/20
                        = 2/20 :3/20
                        = 2:3