A, B & C are partners in a partnership firm sharing profits and losses in the ratio of 4:3:2. B decides to retire from the firm. Calculate the new profit sharing between the remaining partners in the following conditions-

If B gives his share to A & C in equal proportion.

11:7

The correct answer is option 3- 11:7.

B share is 3/9

A acquire = 3/9*1/2
               = 3/18
C acquire = 3/9*1/2
               = 3/18

A new share = 4/9+3/18
                   = (8+3)/18
                   = 11/18
C new share = 2/9+3/18
                   = (4+3)/18
                   = 7/18

So, new profit sharing ratio is 11:7