Kim and Sim are partners in a firm sharing profits in 4:3 ratio. They admitted Pim as a new partner for 1/4 share in the profits, which he acquired in the ratio of 3:2 from Kim and Sim. Determine the new profit sharing ratio of the partners.

59:46:35

The correct answer is option 4- 59:46:35.

Kim and Sim = 4:3 (old ratio)

Pim admits = 1/4 share 

Kim and Sim = 3:2 (sacrificing ratio)

Sacrificed share of Kim = 1/4 x 3/5
                                  = 3/20

Sacrificed share of Sim = 1/4 x 2/5
                                  = 2/20

NEW SHARE = OLD SHARE - SACRIFICED SHARE

New share of Kim = 4/7 - 3/20
                          = (80-21)/140
                          = 59/140

New share of Sim = 3/7 - 2/20
                          = (60-14)/140
                          = 46/140

Share of Pim = 1/4 or 35/140

New ratio = 59/140 : 46/140 : 35/140
               = 59:46:35