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Question
A, B & C partners in a firm sharing profits losses in the ratio of 4:3:2. B decided to retire from the firm. B gives his share to A and C in the original ratio of A & C. What is the gain ratio?
A, B & C partners in a firm sharing profits losses in the ratio of 4:3:2. B decided to retire from the firm. B gives his share to A and C in the original ratio of A & C. What is the gain ratio?
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Solution
The correct option is D 2:1
Old ratio ( A, B and C) = 4 : 3 : 2B's share = 3/9Share of B taken by A = (3/9) * (4/6) = 2/9Share of B taken by C = (3/9) * 2/6) = 1/9New share = Old share + Share taken from B
A's new share = (4/9) + (2/9) = 6/9 or 2/3C's new share = (2/9) + (1/9) = 3/9 or 1/3Gaining ratio = New artio - Old ratio A's gaining ratio = (6/9) - (4/9) = 2/9C's gaining ratio = (3/9) - (2/9) = 1/9Therefore, gaining ratio of A and C is 2 : 1
Old ratio ( A, B and C) = 4 : 3 : 2
B's share = 3/9
Share of B taken by A = (3/9) * (4/6) = 2/9
Share of B taken by C = (3/9) * 2/6) = 1/9
New share = Old share + Share taken from B
A's new share = (4/9) + (2/9) = 6/9 or 2/3
C's new share = (2/9) + (1/9) = 3/9 or 1/3
Gaining ratio = New artio - Old ratio
A's gaining ratio = (6/9) - (4/9) = 2/9
C's gaining ratio = (3/9) - (2/9) = 1/9
Therefore, gaining ratio of A and C is 2 : 1
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