Question : Y and M are partners sharing profits in the ratio of 2 : 1. They admit K into partnership for ¼ th share of profit Kushagra acquired the share from old partners in the ratio of 3 : 2. The new profit sharing ratio will be:
Option 1: 14 : 31 : 15
Option 2: 3 : 2 : 1
Option 3: 31 : 14 : 15
Option 4: 2 : 3 : 1
Correct Answer: 31 : 14 : 15
Solution : Answer = 31: 14: 15
Y = 2/3 -3/20 = 40 -9/60 = 31/60
M = 1/3 - 2/20 = 20 -60/60 = 14/60
K takes = 1/4 x 3/5 from Y = 3/20 from Y
K takes = 1/4 x 2/5 from M = 3/20 from M
K = 3/20 + 2/20 = 5/20 x 3/3 =15/60
New profit sharing ratio = 31:14:15 Hence, the correct option is 3.
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