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A and B are partners sharing profits and losses in 3 : 2. They admit C into partnership for [latex]\frac{3}{30}[/latex]th share in the profits. A surrenders [latex]\frac{1}{3}[/latex]rd of his share and B surrenders [latex]\frac{1}{4}[/latex]th of his share in favour of C. Goodwill of the firm is valued at ?3,00,000 but C is unable to bring his share of goodwill in cash. Credit will be given to :
A Rs54,000; B Rs36,000
A Rs60,000; B Rs30,000
A Rs2,00,000; B Rs1,00,000
A Rs1,80,000; 5 Rs1,20,000
- Initial Profit Sharing: A and B share profits in a 3:2 ratio.
- C's Admission: C is admitted for a \(\frac{3}{30}\) share of profits.
- Surrendered Shares: A gives up \(\frac{1}{3}\) of his, and B gives up \(\frac{1}{4}\) of his share.
- A's Share Calculation: A's original share is \(\frac{3}{5}\). Surrendered share = \(\frac{1}{3} \times \frac{3}{5} = \frac{1}{5}\).
- B's Share Calculation: B's original share is \(\frac{2}{5}\). Surrendered share = \(\frac{1}{4} \times \frac{2}{5} = \frac{1}{10}\).
- Total Surrender = C's Share: \(\frac{1}{5} + \frac{1}{10} = \frac{3}{10}\) matches with \(\frac{3}{30}\).
- Goodwill Valuation: Total goodwill = 3,00,000.
- C's Share of Goodwill: \(\frac{3}{30} \times 3,00,000 = 30,000\).
- Distribution of Credit:
- A: \(\frac{1}{5} \times 3,00,000 = 60,000\).
- B: \(\frac{1}{10} \times 3,00,000 = 30,000\).
- Option:2 is Correct:
By: santosh ProfileResourcesReport error
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