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Sagot :
To prepare A's Capital account and determine the amount due to A’s executors, let’s list and compute the necessary components as per the partnership agreement:
1. Amount standing to the credit of A's capital account:
[tex]\[ \text{A's Capital} = \text{₹} 24,000 \][/tex]
2. Interest on capital from April 1 to September 30 (6 months):
[tex]\[ \text{Interest per annum} =12\% \][/tex]
[tex]\[ \text{Interest for 6 months} =\text{₹} 24,000 \times 12\% \times \frac{6}{12} = \text{₹} 1,440 \][/tex]
3. Share of goodwill:
- Average profit of last three years:
[tex]\[ \text{Profits: ₹}8,000, \text{₹}12,000, \text{₹}7,000 \][/tex]
[tex]\[ \text{Average Profit} = \frac{8,000 + 12,000 + 7,000}{3} = \text{₹} 9,000 \][/tex]
- Goodwill (4 years' purchase of average profit):
[tex]\[ \text{Goodwill} = 9,000 \times 4 = \text{₹} 36,000 \][/tex]
- A’s share of the goodwill:
[tex]\[ \text{A's Share} = 36,000 \times \frac{5}{10} = \text{₹} 18,000 \][/tex]
4. Share of profit from April 1 to September 30 (6 months) based on last year's profit:
- Last year’s profit (2023):
[tex]\[ \text{₹} 7,000 \][/tex]
- A’s share of last year's profit:
[tex]\[ \text{A's Share} = 7,000 \times \frac{5}{10} = \text{₹} 3,500 \][/tex]
- Share of profit for 6 months:
[tex]\[ \text{Profit for 6 months} = 3,500 \times \frac{6}{12} = \text{₹} 1,750 \][/tex]
Now, let's sum these components to find the total amount due to A's executors:
[tex]\[ \text{Total Due} = \text{A's Capital} + \text{Interest} + \text{A's Share of Goodwill} + \text{A's Share of Profit} \][/tex]
[tex]\[ \text{Total Due} = 24,000 + 1,440 + 18,000 + 1,750 = \text{₹} 45,190 \][/tex]
Therefore, the amount due to A's executors is ₹ 45,190.
To present this in A's Capital account format:
A's Capital Account
[tex]\[ \begin{array}{|c|c|} \hline \text{Dr.} & \text{Cr.} \\ \hline \text{Details} & \text{₹} \\ \hline \text{Interest on Capital} & 1,440 \\ \text{Profit } & 1,750 \\ \text{Goodwill} & 18,000 \\ \text{To Balance c/d (Executor)} & 45,190 \\ \hline \text{By Balance b/d} & 24,000 \\ \hline \end{array} \][/tex]
1. Amount standing to the credit of A's capital account:
[tex]\[ \text{A's Capital} = \text{₹} 24,000 \][/tex]
2. Interest on capital from April 1 to September 30 (6 months):
[tex]\[ \text{Interest per annum} =12\% \][/tex]
[tex]\[ \text{Interest for 6 months} =\text{₹} 24,000 \times 12\% \times \frac{6}{12} = \text{₹} 1,440 \][/tex]
3. Share of goodwill:
- Average profit of last three years:
[tex]\[ \text{Profits: ₹}8,000, \text{₹}12,000, \text{₹}7,000 \][/tex]
[tex]\[ \text{Average Profit} = \frac{8,000 + 12,000 + 7,000}{3} = \text{₹} 9,000 \][/tex]
- Goodwill (4 years' purchase of average profit):
[tex]\[ \text{Goodwill} = 9,000 \times 4 = \text{₹} 36,000 \][/tex]
- A’s share of the goodwill:
[tex]\[ \text{A's Share} = 36,000 \times \frac{5}{10} = \text{₹} 18,000 \][/tex]
4. Share of profit from April 1 to September 30 (6 months) based on last year's profit:
- Last year’s profit (2023):
[tex]\[ \text{₹} 7,000 \][/tex]
- A’s share of last year's profit:
[tex]\[ \text{A's Share} = 7,000 \times \frac{5}{10} = \text{₹} 3,500 \][/tex]
- Share of profit for 6 months:
[tex]\[ \text{Profit for 6 months} = 3,500 \times \frac{6}{12} = \text{₹} 1,750 \][/tex]
Now, let's sum these components to find the total amount due to A's executors:
[tex]\[ \text{Total Due} = \text{A's Capital} + \text{Interest} + \text{A's Share of Goodwill} + \text{A's Share of Profit} \][/tex]
[tex]\[ \text{Total Due} = 24,000 + 1,440 + 18,000 + 1,750 = \text{₹} 45,190 \][/tex]
Therefore, the amount due to A's executors is ₹ 45,190.
To present this in A's Capital account format:
A's Capital Account
[tex]\[ \begin{array}{|c|c|} \hline \text{Dr.} & \text{Cr.} \\ \hline \text{Details} & \text{₹} \\ \hline \text{Interest on Capital} & 1,440 \\ \text{Profit } & 1,750 \\ \text{Goodwill} & 18,000 \\ \text{To Balance c/d (Executor)} & 45,190 \\ \hline \text{By Balance b/d} & 24,000 \\ \hline \end{array} \][/tex]
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