A and B are partners in a firm sharing profits in the ratio of 3:2. They admit C as a partner for 1/3 share. the sacrificing ratio between A and B is:
Answer & explanation
Correct answer: option 1
The correct answer is option 1- 3:2.
Old ratio = 3:2 (A&B)
C admits = 1/3
Let total share = 1
C's share = 1/3
Remaining share = 1- 1/3
= 2/3
This 2/3 is divided between A & B in ratio of 3:2.
A's new share = 2/3 x 3/5
= 6/15
B's new share = 2/3 x 2/5
= 4/15
New ratio = 6/15 : 4/15 : 1/3
= 6/15 : 4/15 :5/15
= 6:4:5
SACRIFICED SHARE = OLD SHARE - NEW SHARE
Sacrifice of A = 3/5 - 6/15
= (9-6)/15
= 3/15
Sacrifice of B = 2/5 - 4/15
= (6-4)/15
= 2/15
Sacrificing ratio = 3/15 :2/15
= 3:2