Question

Difficulty: Very hardFixed and Fluctuating Capital Accounts

Zainab and Tariq are partners sharing profits and losses in the ratio 3:23:2. On 1st January 2025, their fixed capital balances were 800,000\text{₦}800,000 and 500,000\text{₦}500,000, while their current account balances were 45,000\text{₦}45,000 (Credit) and 12,000\text{₦}12,000 (Debit) respectively. Zainab had also granted a loan of 100,000\text{₦}100,000 to the firm on 1st January 2025 at 10%10\% interest per annum. For the year ended 31st December 2025, the net profit before charging loan interest was ��340,000\text{��}340,000.

Additional partnership details for the year:
- Interest on capital is allowed at 5%5\% per annum on fixed capital.
- Tariq is entitled to an annual partner salary of 35,000\text{₦}35,000.
- Interest on drawings charged: Zainab 5,000\text{₦}5,000, Tariq 3,000\text{₦}3,000.
- Drawings made during the year: Zainab 50,000\text{₦}50,000, Tariq 30,000\text{₦}30,000.

If the partners decide to switch from a fixed capital system to a fluctuating capital system at year-end by amalgamating their current account balances into their capital accounts, what is the closing balance of Tariq's Capital Account as at 31st December 2025?

  1. ₦610,200Answer
  2. B
    ₦614,200
  3. C
    ₦634,200
  4. D
    ₦670,200

Answer

The closing balance of Tariq's Capital Account as at 31st December 2025 under the fluctuating capital system is ₦610,200.
The correct answer is derived by first deducting the ₦10,000 interest on Zainab's loan from net profit to arrive at an adjusted net profit of ₦330,000. Adding total interest on drawings (₦8,000) and deducting interest on capital (₦65,000) and partner salary (₦35,000) yields a residual profit of ₦238,000, of which Tariq's 2/5 share is ₦95,200. Combining Tariq's credits (₦25,000 interest on capital + ₦35,000 salary + ₦95,200 profit share) and deducting his debits (₦12,000 opening debit balance + ₦30,000 drawings + ₦3,000 interest on drawings) gives a net current account balance of ₦110,200 (Credit). Merging this with his fixed capital of ₦500,000 yields a total fluctuating closing capital of ₦610,200.

Step-by-Step Solution

1
Calculate the correct Net Profit after charging interest on partner loan
Net Profit = ₦340,000 - (10% of ₦100,000) = ₦330,000
Interest on partner's loan is a charge against profit (debited to P&L account), not an appropriation of profit.
2
Compute total appropriations and residual profit available for sharing
Divisible Profit = ₦330,000 + ₦8,000 (Interest on Drawings) - ₦65,000 (Interest on Capital) - ₦35,000 (Tariq's Salary) = ₦238,000
Interest on drawings increases profits available for distribution, while interest on capital and salary reduce it.
3
Calculate Tariq's share of residual profit
Tariq's Share = (2 / 5) * ₦238,000 = ₦95,200
Profits are shared in the agreed ratio of 3:2.
4
Determine Tariq's ending Current Account balance
Credit items = ₦25,000 (Interest on Capital) + ₦35,000 (Salary) + ₦95,200 (Share of Profit) = ₦155,200. Debit items = ₦12,000 (Opening Dr Balance) + ₦30,000 (Drawings) + ₦3,000 (Interest on Drawings) = ₦45,000. Net Current Account Balance = ₦155,200 - ₦45,000 = ₦110,200 (Credit)
Debits (drawings, interest on drawings, opening debit balance) are subtracted from credits (salary, interest on capital, profit share).
5
Calculate Tariq's closing fluctuating capital account balance
Closing Capital Balance = Opening Fixed Capital (₦500,000) + Ending Current Account Balance (₦110,200) = ₦610,200
Under a fluctuating capital system, capital and current account entries are combined into a single capital account.

Key Concept

Fixed vs Fluctuating Capital Accounts in Partnership Accounting
Estimated Time:3m 0s
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