Question

A, B and C were three partners sharing profit in the ratio of 3:5:7. C retired and his share was purchased by A and B in the ratio of 32. Find the new ratio and Gaining ratio. If C's
share of goodwill is fixed at 2,250, how much A and B will pay?


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Answer 1

Given A:B:C = 3:5:7. So, C's share =(7/15)

A takes (3/5)×(7/15)=21/75 and

B takes (2/5)×(7/15)=14/75

A's new share=(3/15)+(21/75)=36/75.

B's new share=(5/15)+(14/75)=39/75.

.°. New ratio of A:B = 36:39 or, 12:13

Gaining Ratio = 3:2 as A and B purchased C's share in that ratio.

A will pay for goodwill (3/5)×2,250 = 1,350.

B will pay for good will =(2/5)×2,250 = 900.

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Answer 2

Given A:B:C = 3:5:7. So, C's share =(7/15)

A takes (3/5)×(7/15)=21/75 and

B takes (2/5)×(7/15)=14/75

A's new share=(3/15)+(21/75)=36/75.

B's new share=(5/15)+(14/75)=39/75.

.°. New ratio of A:B = 36:39 or, 12:13

Gaining Ratio = 3:2 as A and B purchased C's share in that ratio.

A will pay for goodwill (3/5)×2,250 = 1,350.

B will pay for good will =(2/5)×2,250 = 900.