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A and B are partners sharing profits and losses in the ratio of 3:2. C is admitted for 1/4 share and for which Rs 30000 and Rs 10000 are credited as a premium for goodwill to A and B respectively. The new profit sharing ratio of A:B:C will be?
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A and B are partners sharing profits and losses in the ratio of 3:2. C...
Understanding the Current Profit-Sharing Ratio
A and B currently share profits and losses in the ratio of 3:2. This means:
  • A's Share: 3 parts
  • B's Share: 2 parts
  • Total Parts: 3 + 2 = 5 parts


Admission of C
C is admitted into the partnership for a 1/4 share, meaning C will receive 1/4 of the total profits. This translates to:
  • C's Share: 1/4 of total profits
  • Remaining Share: 3/4 for A and B combined


Calculating A and B's New Shares
Since C's share is 1/4, A and B will share the remaining 3/4 in their existing ratio (3:2). The total remaining parts are:
  • A's New Share: (3/5) * (3/4) = 9/20
  • B's New Share: (2/5) * (3/4) = 6/20
  • C's Share: 5/20 (equivalent to 1/4)


New Profit-Sharing Ratio
Now, we can summarize the new profit-sharing ratio for A, B, and C:
  • A's Share: 9/20
  • B's Share: 6/20
  • C's Share: 5/20


Thus, the new profit-sharing ratio of A:B:C is 9:6:5.
Conclusion
This new ratio reflects the contributions and the goodwill premium received by A and B upon admitting C into the partnership.
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A and B are partners sharing profits and losses in the ratio of 3:2. C is admitted for 1/4 share and for which Rs 30000 and Rs 10000 are credited as a premium for goodwill to A and B respectively. The new profit sharing ratio of A:B:C will be?
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