To determine Halidu's share of the profit, we need to analyze the profit-sharing arrangement between Halidu and Hamed based on their capital contributions and the salary that Halidu receives. Let's break this down step-by-step.
Step 1: Understand the Capital Contributions
- Halidu's capital: N30,000
- Hamed's capital: N20,000
Step 2: Calculate Total Capital
Total capital = Halidu's capital + Hamed's capital
Total capital = N30,000 + N20,000 = N50,000
Step 3: Determine the Profit Distribution
The total profit for the year is N12,000, which includes Halidu's salary of N3,000. Therefore, we need to separate Halidu's salary from the total profit to find the remaining profit that will be shared between the partners.
Step 4: Calculate Remaining Profit After Salary
Remaining profit = Total profit - Halidu's salary
Remaining profit = N12,000 - N3,000 = N9,000
Step 5: Calculate Profit Sharing Ratio
The profit-sharing ratio is based on the capital contributions of Halidu and Hamed.
- Halidu's share of capital = N30,000
- Hamed's share of capital = N20,000
To find the ratio:
- Total capital = N50,000
- Halidu's share of the total capital = N30,000 / N50,000 = 3/5
- Hamed's share of the total capital = N20,000 / N50,000 = 2/5
Step 6: Distribute Remaining Profit According to the Ratio
Now, we will distribute the remaining profit of N9,000 according to the ratio of 3:2.
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Halidu's share of the remaining profit = (3/5) * N9,000
Halidu's share = N5,400
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Hamed's share of the remaining profit = (2/5) * N9,000
Hamed's share = N3,600
Step 7: Calculate Halidu's Total Share of Profit
Now, we add Halidu's salary to his share of the remaining profit to find his total share of the profit.
Total share of Halidu = Halidu's salary + Halidu's share of remaining profit
Total share of Halidu = N3,000 + N5,400 = N8,400
Conclusion
However, the question specifically asks for Halidu's share of the profit excluding his salary. Therefore, Halidu's share of the profit (excluding salary) is N5,400.
Answer
The correct option is
C. N5,400.
Explanation of Other Options
- A. N7,500: This option does not consider the correct distribution of the remaining profit after Halidu's salary is deducted.
- B. N6,000: This option is incorrect as it does not accurately reflect the profit-sharing ratio based on capital contributions.
- D. N4,500: This option is also incorrect as it underestimates Halidu's share based on the capital contributions and the remaining profit.
Revision Summary
- Halidu's total capital contribution is N30,000, and Hamed's is N20,000.
- The total profit of N12,000 includes Halidu's salary of N3,000; thus, the remaining profit to be shared is N9,000.
- The profit-sharing ratio is 3:2 based on their capital contributions.
- Halidu's share of the profit (excluding salary) is N5,400.