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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 & C in ratio of 3:1. 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 & C in ratio of 3:1. What is the gain ratio?
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Solution
The correct option is C 3:1
Old ratio ( A, B and C) = 4 : 3 : 2B's share = 3/9Share of B taken by A = (3/9) * (3/4) = 3/12Share of B taken by C = (3/9) * (1/4) = 1/12New share = Old share + Share taken from B
A's new share = (4/9) + (3/12) = 25/36C's new share = (2/9) + (1/12) = 11/36Gaining ratio = New artio - Old ratio A's gaining ratio = (25/36) - (4/9) = 9/36C's gaining ratio = (11/36 ) - (2/9) = 3/ 36Therefore, gaining ratio of A and C is 9 : 3 or 3 : 1
Old ratio ( A, B and C) = 4 : 3 : 2
B's share = 3/9
Share of B taken by A = (3/9) * (3/4) = 3/12
Share of B taken by C = (3/9) * (1/4) = 1/12
New share = Old share + Share taken from B
A's new share = (4/9) + (3/12) = 25/36
C's new share = (2/9) + (1/12) = 11/36
Gaining ratio = New artio - Old ratio
A's gaining ratio = (25/36) - (4/9) = 9/36
C's gaining ratio = (11/36 ) - (2/9) = 3/ 36
Therefore, gaining ratio of A and C is 9 : 3 or 3 : 1
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