A,B and C were partners in a firm sharing profits in 1:2:3 ratio. They admitted D as a new partner for 1/6th share. D acquired his share 1/24 from A, 1/24 from B and 1/12 from C. Calculate new profit sharing ratio

Dear Student,
Old Ratio - 1:2:3 (A:B:C)
A's sacrifice - 1/24
B's Sacrifice - 1/24
C's sacrifice - 1/12
So, 
A's new share - 1/6 - 1/24 = 3/24
B's new share - 2/6 - 1/24 = 7/24
C's new share - 3/6 - 1/12 = 5/12 = 10/24
D's share - 1/6 × 4/4 = 4/24
So, New Ratio = 3:7:10:4 (A:B:C:D)
Regards

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