A, B, C were partners in a firm sharing profits and losses in the ratio of 4 : 3 : 3. They admit D into partnership. B surrenders 1/3 of his share and C surrenders 1/4 of his share in favour of D. Calculate new profit sharing ratio.

16 : 8 : 9 : 7

The correct answer is Option 1 - 16 : 8 : 9 : 7.

Old ratio = 4:3:3
D admit in the firm.
B sacrifices = 3/10 x 1/3
                 = 3/30

C sacrifices = 3/10 x 1/4
                 = 3/40

D's share = 3/30 + 3/40
               = 21/120

A's share = 4/10

B's new share = 3/10 - 3/30
                     = (9-3)/30
                     = 6/30

C's new share = 3/10 - 3/40
                     = (12-3)/40
                     = 9/40

New ratio = 4/10 : 6/30 : 9/40 : 21/120
              = 48:24:27:21
              = 16:8:9:7