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Question
A and B are partners sharing profits and losses in the ratio of 2 : 5. They admit C on the condition that he will bring ₹ 14,000 as his share of goodwill to be distributed between A and B. C's share in the future profits or losses will be 1/4th. What will be the new profit-sharing ratio and what amount of goodwill brought in by C will be received by A and B?
Solution
Old Ratio = A : B = 2 : 5
C is admitted for `1/4` share
Let the combined share of A, B and C be = 1
Combined share of A and B after C’s admission = 1 − C’s share
= 1- `1/4` = `3/4`
New Ratio = Old Ratio × Combined share of A and B
A's = `2/7 xx 3/4 = 6/28`
B's = `5/7 xx 3/4 = 15/28`
New Profit Sharing Ratio = A : B : C
= `6/28 : 15/28 : 1/4`
= `[ 6:15:7]/28`
= 6 : 15 : 7
Distribution of C’s share of Goodwill
C’s share of Goodwill = Rs 14,000
A's will get = 14,000 x `2/7` = Rs. 4,000
B will get =14,000 x `5/7` = Rs. 10,000
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Assets | Amount (₹) |
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Assets |
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||
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Assets |
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||
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|
|
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|
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|
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|
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|
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|
|
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|
|
|||
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|
|
|
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||
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Amount |
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|
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||
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