A, B and C are partners sharing profits in the ratio of 1/2, 1/3 and 1/6. B retires and his share is taken by A and C in the ratio of 5 : 3. What is the new ratio ? *
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Old ratio (A, B and C) = 1/2 : 2/5 : 1/10 or 5 : 4 : 1
Share of B = 4/10
Share of B taken by A = (4/10) * (1/6) = 4/60 or 1/15
Share of B taken by C = (4/10) * (5/6) = 20/60
New ratio = Old ratio + Share taken from B
A's new ratio = (5/10) + (4/60) = 34/60
C's new ratio = (1/10) + (20/60) = 26/60
Therefore, new ratio of A and C = 34 : 26 or 17 : 13
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