Arpit, Harpreet and Simrit are partners sharing profit in the ratio of 3 : 2 : 1. Arpit retires and his share is taken up by Harpreet and Simrit in the ratio of 3 : 2. The new profit sharing ratio will be:

19 : 11

The correct answer is Option (4) - 19 : 11.

Old ratio = 3:2:1 (Arpit, Harpreet and Simrit).
Arpit retires and his share is taken up by Harpreet and Simrit in the ratio of 3 : 2.
Arpit share = 3/6

Gain of Harpreet = 3/6 x 3/5
                         = 9/30

Gain of Simrit = 3/6 x 2/5
                     = 6/30

New share of Harpreet = 2/6 + 9/30
                                 = (10+9)/30
                                 = 19/30

New share of Simrit = 1/6 + 6/30
                             = (5+6)/30
                             = 11/30

New ratio = 19/30 : 11/30
              = 19 :11