X and Y are partners sharing profit in the ratio of 3 : 2. Z was admitted with 1/4th share in profits which he acquires equally from X and Y. The new ratio will be:

19:11:10

The correct answer is option 2- 19:11:10.

C share = 1/4
He acquires equally i.e 1/4 *1/2 = 1/8 from each partner

New share = Old share - Sacrificed share

A = 3/5-1/8
   = (24-5)/40
   = 19/40

B = 2/5 - 1/8
   = (16-5)/40
   = 11/40

Thus, New Ratio = 19/40 : 11/40 : 1/4
                        = 19/40 :11/40 : 10/40
                        = 19:11:10