Partnership Accounts

88 questions

Question 1Question

Kemi and Chidi are partners in a accounting firm sharing profits and losses in the ratio of 3:23:2. They admit Ngozi into the partnership with a 15\frac{1}{5} share in future profits. Ngozi pays 20,000\text{₦}20,000 as premium for goodwill, which is credited to the existing partners' capital accounts in their profit-sharing ratio. What is the amount of goodwill premium credited to Kemi's capital account (in \text{₦})?

Show answer & explanation

Answer: 12000

Answer

The amount credited to Kemi's capital account for goodwill premium is ₦12,000.
Kemi's share of the goodwill premium is calculated by taking her 3/5 profit share of the total ₦20,000 premium brought in by the incoming partner, which equals ₦12,000.

Step-by-Step Solution

1
Determine Kemi's ratio share
3/5
The profit-sharing ratio between Kemi and Chidi is 3:2, meaning Kemi receives 3 out of 5 total parts.
2
Calculate Kemi's portion of the goodwill premium
₦12,000
Multiply total premium (₦20,000) by Kemi's share (3/5): 20,000 * 3 / 5 = 12,000.

Key Concept

Allocation of Goodwill Premium on Admission of a New Partner
Question 2Question

Ada and Bisi are partners sharing profits and losses in the ratio 3:23:2. On 1st April 2026, they agree to revalue the assets and liabilities of the firm prior to admitting a new partner. The books show: Building (book value 200,000\text{₦}200,000) revalued at 250,000\text{₦}250,000; Furniture (book value 80,000\text{₦}80,000) revalued at 70,000\text{₦}70,000; a new Provision for Doubtful Debts of 5,000\text{₦}5,000 is to be created; and an unrecorded liability for expenses of 15,000\text{₦}15,000 is to be recognized. What is Bisi's share of the revaluation profit or loss?

Show answer & explanation

Answer: 8,000\text{₦}8,000 profit

Answer

Bisi's share of the revaluation profit is 8,000\text{₦}8,000 profit.
The net revaluation gain is calculated by taking the appreciation of the building (+50,000+\text{₦}50,000) and subtracting the depreciation of furniture (10,000-\text{₦}10,000), the new provision for doubtful debts (5,000-\text{₦}5,000), and the unrecorded liability (15,000-\text{₦}15,000), giving a net profit of 20,000\text{₦}20,000. Bisi's ratio share is 25\frac{2}{5}, which equals 8,000\text{₦}8,000 profit.

Step-by-Step Solution

1
Calculate the revaluation gains and losses for each item
Increase in Building = 250,000200,000=+50,000\text{₦}250,000 - \text{₦}200,000 = +\text{₦}50,000 (Gain); Decrease in Furniture = ���70,00080,000=10,000\text{���}70,000 - \text{₦}80,000 = -\text{₦}10,000 (Loss); Provision for Doubtful Debts = 5,000-\text{₦}5,000 (Loss); Unrecorded Liability = 15,000-\text{₦}15,000 (Loss).
Increases in assets are credited to the Revaluation Account as gains, whereas decreases in assets and increases in liabilities are debited as losses.
2
Determine the net revaluation profit or loss
Net Profit = 50,00010,0005,00015,000=20,000\text{₦}50,000 - \text{₦}10,000 - \text{₦}5,000 - \text{₦}15,000 = \text{₦}20,000.
Summing up the revaluation credits and debits yields a net profit of 20,000\text{₦}20,000.
3
Apportion the net revaluation profit to Bisi using the old profit-sharing ratio
Bisi's share = 23+2×20,000=25×20,000=8,000\frac{2}{3+2} \times \text{₦}20,000 = \frac{2}{5} \times \text{₦}20,000 = \text{₦}8,000.
Revaluation gains and losses are credited/debited to existing partners in their old profit-sharing ratio.

Key Concept

Revaluation of Assets and Liabilities in Partnership Accounts
Question 3Question

Match each goodwill transaction or valuation method in partnership accounts with its corresponding accounting treatment or valuation rule.

Click a left item, then click its matching right item

Items

Raising goodwill in the partnership books
Writing off goodwill in the partnership books
Valuing goodwill using the Average Profit method

Matches

Show answer & explanation

Answer

Raising goodwill matches crediting old partners' capital accounts in the old profit-sharing ratio; Writing off goodwill matches debiting partners' capital accounts in the new profit-sharing ratio; Valuing goodwill using the Average Profit method matches multiplying average profits by the agreed number of years' purchase.
Each item correctly matches standard partnership accounting rules: raising goodwill credits old partners in their old profit-sharing ratio, writing off goodwill debits partners in their new profit-sharing ratio, and the average profit valuation method computes goodwill by multiplying average profit by the specified number of years' purchase.

Step-by-Step Solution

1
Determine the double entry for raising goodwill in a partnership
Debit Goodwill Account and credit Old Partners' Capital Accounts in their old profit-sharing ratio.
Existing partners are credited for the goodwill accrued up to the date of reconstitution based on their historical profit share.
2
Determine the double entry for writing off goodwill
Debit all partners' capital accounts in the new profit-sharing ratio and credit Goodwill Account.
Writing off removes goodwill from the balance sheet while adjusting partners' capitals according to the new profit-sharing arrangement.
3
Determine the formula for the Average Profit valuation method
Goodwill = Average Annual Profit ×\times Number of Years' Purchase.
This method estimates expected future super-normal earnings based on past average performance.

Key Concept

Treatment and Valuation of Goodwill in Partnership Accounts
Question 4Question

When a partnership firm operates the fixed capital account system, in which account is a partner's share of net profit credited at the end of the accounting period?

Show answer & explanation

Answer: Partner's Current Account

Answer

Partner's Current Account
Under the fixed capital account system, the partner's capital account maintains a constant balance containing only initial capital, permanent additions, or permanent capital withdrawals. All recurring operational allocations such as profit shares, partner salaries, interest on capital, and drawings are credited or debited to the partner's current account.

Step-by-Step Solution

1
Identify the accounting method specified in the prompt
The firm uses the fixed capital account method.
Partnership accounting distinguishes between fixed and fluctuating capital methods.
2
Apply the rule of the fixed capital account method
The Capital Account balance is kept fixed, while all annual appropriations (profit share, salaries, drawings, interest) are posted to the Current Account.
This maintains the initial capital structure distinct from accumulated profits and appropriations.
3
Determine the crediting account for share of profit
The share of profit increases the partner's equity, so it is credited to the Partner's Current Account.
Crediting the current account reflects the allocation of profits available to the partner without altering original capital.

Key Concept

Fixed Capital Accounts Method
Estimated Time:45s
Question 5Question

Adamu and Zainab are partners in a firm. They agree to value the firm's goodwill on the basis of 33 years' purchase of the average super profit of the past 44 years. The net profits of the firm for the last 44 years were N45,000\mathcal{N}45,000, N55,000\mathcal{N}55,000, N60,000\mathcal{N}60,000, and N80,000\mathcal{N}80,000. The capital employed in the business is N400,000\mathcal{N}400,000, and the normal rate of return expected on capital employed in a similar business is 10%10\%. What is the value of the firm's goodwill in Naira?

Show answer & explanation

Answer: 60000

Answer

The value of the firm's goodwill is 60,000 Naira.
Goodwill under the super profit method is obtained by taking the excess of average annual profits over normal expected profits and multiplying by the number of years' purchase. The average profit is 60,000 Naira and normal profit is 40,000 Naira (10% of 400,000 Naira). The super profit is 20,000 Naira, which when multiplied by 3 years' purchase gives 60,000 Naira.

Step-by-Step Solution

1
Calculate the average annual profit of the firm over the 4-year period
Average profit = 60,000 Naira
Sum the total profits of the four years (240,000 Naira) and divide by 4.
2
Calculate the normal profit expected from the capital employed
Normal profit = 40,000 Naira
Multiply the capital employed (400,000 Naira) by the normal rate of return (10%).
3
Determine the super profit of the firm
Super profit = 20,000 Naira
Subtract normal profit (40,000 Naira) from average annual profit (60,000 Naira).
4
Compute goodwill using the 3 years' purchase multiplier
Goodwill = 60,000 Naira
Multiply the super profit (20,000 Naira) by the agreed 3 years' purchase.

Key Concept

Valuation of Goodwill using the Super Profit Method
Estimated Time:1m 30s
Question 6Question

Ade and Musa are partners in a trading firm sharing profits and losses in the ratio of 3:23:2. Their capital account balances are 80,000\text{₦}80,000 and 50,000\text{₦}50,000 respectively. On 1st January, they admit Zainab into the partnership for a 15\frac{1}{5} share of profits, bringing the new profit-sharing ratio among Ade, Musa, and Zainab to 2:2:12:2:1. Zainab brings in 40,000\text{₦}40,000 as capital and 10,000\text{₦}10,000 as premium for goodwill in cash. On admission, the firm's assets are revalued, resulting in a net revaluation profit of 10,000\text{₦}10,000. What is the balance of Ade's capital account immediately after the admission of Zainab?

Show answer & explanation

Answer: ₦96,000

Answer

The adjusted balance of Ade's capital account after admission is ₦96,000.
Ade's initial capital is ₦80,000. Upon Zainab's admission, the sacrificing ratio between Ade and Musa is calculated as Old Share minus New Share. Ade's sacrifice is 3/5 - 2/5 = 1/5, while Musa's sacrifice is 2/5 - 2/5 = 0. Because Ade made the entire sacrifice of 1/5, he is entitled to 100% of Zainab's ₦10,000 goodwill premium. Furthermore, the net revaluation gain of ₦10,000 is distributed in the old profit-sharing ratio (3:2), giving Ade 3/5 of ₦10,000 = ₦6,000. Summing these credits to Ade's capital gives ₦80,000 + ₦6,000 + ₦10,000 = ₦96,000.

Step-by-Step Solution

1
Calculate the Sacrificing Ratio of the old partners.
Ade's Sacrifice = 3525=15\frac{3}{5} - \frac{2}{5} = \frac{1}{5}; Musa's Sacrifice = 2525=0\frac{2}{5} - \frac{2}{5} = 0. Sacrificing ratio is 1:01:0 (entire sacrifice borne by Ade).
Goodwill premium brought in cash by an incoming partner must be shared strictly among sacrificing partners in their sacrificing ratio.
2
Allocate the Net Revaluation Profit to the existing partners.
Ade's share = 35×10,000=6,000\frac{3}{5} \times \text{₦}10,000 = \text{₦}6,000; Musa's share = 25×10,000=4,000\frac{2}{5} \times \text{₦}10,000 = \text{₦}4,000.
Revaluation gains or losses occurring prior to admission belong strictly to old partners and must be shared in their old profit-sharing ratio.
3
Allocate the Goodwill Premium paid by the new partner.
Ade receives 10,000\text{₦}10,000; Musa receives 0\text{₦}0.
Since Musa did not sacrifice any share of profit upon Zainab's admission, Ade is entitled to the full goodwill premium.
4
Compute Ade's final adjusted capital balance.
Ade's Capital = 80,000+6,000 (Revaluation Gain)+10,000 (Goodwill Premium)=96,000\text{₦}80,000 + \text{₦}6,000\ \text{(Revaluation Gain)} + \text{₦}10,000\ \text{(Goodwill Premium)} = \text{₦}96,000.
Ade's capital account is credited with both his share of revaluation profit and the goodwill premium.

Key Concept

Accounting treatment of revaluation gain and goodwill premium upon admission of a new partner.
Question 7Question

Ade and Ola are partners sharing profits and losses in the ratio of 3:23:2. They admit Musa into the partnership, giving him a 15\frac{1}{5} share of the future profits. If Ade and Ola share the remaining profits in their original ratio, what is Ade's new share of profits?

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Answer: 1225\frac{12}{25}

Answer

Ade's new profit share is 1225\frac{12}{25}.
When a new partner is admitted with a specified share of profits, the total profit of 1 is reduced by the incoming partner's share to determine the remaining profit (115=451 - \frac{1}{5} = \frac{4}{5}). Multiplying Ade's original proportion of 35\frac{3}{5} by the remaining share of 45\frac{4}{5} yields 1225\frac{12}{25}.

Step-by-Step Solution

1
Calculate the remaining profit share after deducting the new partner's share.
Total profit share is 11. Musa gets 15\frac{1}{5}, so remaining share = 115=451 - \frac{1}{5} = \frac{4}{5}.
The incoming partner's agreed fraction must be subtracted from the total firm profit of 1.
2
Multiply Ade's original profit-sharing fraction by the remaining profit share.
Ade's new share = 35×45=1225\frac{3}{5} \times \frac{4}{5} = \frac{12}{25}.
Ade retains three-fifths of whatever profit remains after allocating Musa's portion.

Key Concept

Calculation of new profit sharing ratio upon admission of a new partner
Question 8Question

Kemi and Tunde are partners sharing profits and losses in the ratio 3:23:2. The partnership agreement specifies that capital accounts are fixed. On 1st January 2024, their capital account balances were 500,000\text{₦}500,000 and 300,000\text{₦}300,000 respectively, while Tunde's current account had a debit balance of 15,000\text{₦}15,000.

For the financial year ended 31st December 2024, the following figures were extracted:
- Net profit before deducting loan interest: 250,000\text{₦}250,000
- Tunde provided a loan of 100,000\text{₦}100,000 to the firm on 1st January 2024 at 10%10\% interest per annum
- Interest on capital: 10%10\% per annum
- Partners' annual salaries: Kemi 40,000\text{₦}40,000; Tunde 20,000\text{₦}20,000
- Drawings during the year: Kemi 30,000\text{₦}30,000; Tunde 25,000\text{₦}25,000
- Interest on drawings: Kemi 3,000\text{₦}3,000; Tunde 2,000\text{₦}2,000

What is the closing balance of Tunde's Current Account as at 31st December 2024?

Show answer & explanation

Answer: ₦60,000 Credit

Answer

₦60,000 Credit
Under the fixed capital account method, capital balances remain constant while all appropriations, drawings, and interest are posted to the current accounts. Interest on partner loan of ₦10,000 is charged to the Profit and Loss Account, reducing profit to ₦240,000. Adding total interest on drawings (₦5,000) and deducting total interest on capital (₦80,000) and salaries (₦60,000) leaves ₦105,000 residual profit. Tunde's share is ₦42,000. Crediting Tunde's account with interest on capital (₦30,000), salary (₦20,000), profit share (₦42,000), and loan interest (₦10,000) gives ₦102,000 total credits. Subtracting total debits of ₦42,000 (opening debit ₦15,000 + drawings ₦25,000 + IOD ₦2,000) results in a closing balance of ₦60,000 Credit.

Step-by-Step Solution

1
Calculate interest on partner loan and net profit available for appropriation
Interest on Tunde's loan = 10% of ₦100,000 = ₦10,000. Net profit for appropriation = ₦250,000 - ₦10,000 = ��240,000.
Interest on partner loan is a charge against profit (Profit and Loss Account item), not an appropriation of profit.
2
Determine residual profit in the Profit and Loss Appropriation Account
Net profit (₦240,000) + Total interest on drawings (₦5,000) - Total interest on capital (₦80,000) - Total salaries (₦60,000) = ₦105,000 residual profit.
Interest on drawings increases profits available for sharing, while interest on capital and partner salaries reduce residual profit.
3
Calculate Tunde's share of residual profit
Tunde's share = (2 / 5) × ₦105,000 = ₦42,000.
Profits are shared in the agreed ratio of 3:2.
4
Compute closing balance of Tunde's Current Account
Total Credits = ₦30,000 (IOC) + ₦20,000 (Salary) + ₦42,000 (Profit) + ���10,000 (Loan Interest) = ₦102,000. Total Debits = ₦15,000 (Opening Debit) + ₦25,000 (Drawings) + ₦2,000 (IOD) = ₦42,000. Closing Balance = ₦102,000 - ₦42,000 = ₦60,000 Credit.
Current account credits include partner entitlements and earned loan interest, while debits include opening debit balance, drawings, and interest on drawings.

Key Concept

Fixed Capital Account System and Partner Current Account Preparation
Question 9Question

Musa and Chidi are partners in a firm sharing profits and losses in the ratio 3:23:2. On 1st January 2025, their capital balances were \text{\mathbb{N}}500,000 and \text{\mathbb{N}}300,000 respectively.

During the year ended 31st December 2025, the following transactions occurred:
- On 1st July 2025, Musa introduced an additional capital of \text{\mathbb{N}}100,000, while Chidi withdrew \text{\mathbb{N}}50,000 of his capital.
- Partnership deed allows interest on capital at 10%10\% per annum on time-proportioned capital.
- Chidi is entitled to an annual partner salary of \text{\mathbb{N}}40,000.
- Interest on drawings is charged at 5%5\% per annum. Musa drew \text{\mathbb{N}}60,000 on 1st April 2025, and Chidi drew \text{\mathbb{N}}40,000 on 1st October 2025.
- On 1st March 2025, Musa advanced a loan of \text{\mathbb{N}}100,000 to the firm. Interest on partner loan is payable at 6%6\% per annum.
- The net profit of the firm before accounting for interest on Musa's loan for the year was \text{\mathbb{N}}250,000.

If the partnership maintains fluctuating capital accounts, what is the closing balance of Musa's capital account as at 31st December 2025 (in \text{\mathbb{N}})?

Show answer & explanation

Answer: 667900

Answer

The closing balance of Musa's fluctuating capital account as at 31st December 2025 is NGN 667,900.
Under the fluctuating capital method, all transactions affecting a partner—including opening capital, additional capital introduced, interest on capital, share of profits, drawings, and interest on drawings—are combined into a single capital account. The closing balance of NGN 667,900 is obtained by adding all credit items (opening balance NGN 500,000 + additional capital NGN 100,000 + interest on capital NGN 55,000 + share of profit NGN 75,150 = NGN 730,150) and subtracting all debit items (drawings NGN 60,000 + interest on drawings NGN 2,250 = NGN 62,250). Note that interest on Musa's loan (NGN 5,000) is a charge against firm income in the Profit and Loss Account and credited to a separate Loan Account, so it reduces the net profit available for appropriation to NGN 245,000 but does not directly enter the capital account.

Step-by-Step Solution

1
Calculate interest on partner loan and net profit after loan interest
Loan interest = 6% * NGN 100,000 * (10/12) = NGN 5,000. Adjusted Net Profit = NGN 250,000 - NGN 5,000 = NGN 245,000.
Interest on a partner loan is a charge against profit (P&L expense), not an appropriation of profit.
2
Compute time-apportioned interest on capital for each partner
Musa: (10% * NGN 500,000) + (10% * NGN 100,000 * 6/12) = NGN 55,000. Chidi: (10% * NGN 300,000) - (10% * NGN 50,000 * 6/12) = NGN 27,500. Total = NGN 82,500.
Capital introduced or withdrawn mid-year must be time-apportioned to determine accurate interest on capital.
3
Compute interest on drawings for each partner
Musa: 5% * NGN 60,000 * (9/12) = NGN 2,250. Chidi: 5% * NGN 40,000 * (3/12) = NGN 500. Total = NGN 2,750.
Interest on drawings is calculated from the date of withdrawal to the end of the accounting period.
4
Determine divisible residual profit and Musa's share
Divisible Profit = NGN 245,000 + NGN 2,750 - NGN 82,500 - NGN 40,000 = NGN 125,250. Musa's share (3/5) = NGN 75,150.
Appropriations (salary and interest on capital) are deducted from available profit, and interest on drawings is added.
5
Calculate Musa's closing balance under the fluctuating capital method
Musa's Closing Capital = NGN 500,000 (opening) + NGN 100,000 (addition) + NGN 55,000 (interest on capital) + NGN 75,150 (profit share) - NGN 60,000 (drawings) - NGN 2,250 (interest on drawings) = NGN 667,900.
Under the fluctuating capital method, all adjustments (additions, drawings, interest, salary, and profit shares) pass directly through a single capital account.

Key Concept

Fluctuating Capital Account Preparation and Profit & Loss Appropriation Adjustments
Question 10Question

Ada and Bello formed a partnership business without drawing up a partnership deed. For the year ended 31st December 2025, the firm earned a profit of ₦180,000 before accounting for any interest or partner allowances. Ada contributed ₦500,000 as capital, while Bello contributed ₦300,000. Additionally, Bello advanced a loan of ₦200,000 to the firm on 1st January 2025. Bello demanded a monthly salary of ₦5,000 and 6% interest per annum on his capital. In accordance with the provisions of the Partnership Act 1890, what is Ada's share of the net profit (in ₦)?

Show answer & explanation

Answer: 85000

Answer

Ada's share of the net profit is ₦85,000.
Because no partnership deed was drawn up, the provisions of the Partnership Act 1890 govern the business. Under this Act, partners are not entitled to salaries or interest on capital, and profits are shared equally. However, partners are entitled to 5% interest per annum on any loan advanced to the firm. Bello's loan interest equals ₦10,000 (5% of ₦200,000), which reduces net profit from ₦180,000 to ₦170,000. Sharing ₦170,000 equally results in ₦85,000 for Ada.

Step-by-Step Solution

1
Determine statutory allowances and interest under the Partnership Act 1890
Partner salary = ₦0; Interest on capital = ₦0; Interest on loan = 5% per annum; Profit sharing ratio = 1:1 (Equal)
When no partnership deed exists, the Partnership Act 1890 applies default statutory provisions.
2
Calculate interest on partner loan
₦200,000 × 5% = ₦10,000
Loans provided by partners above their capital contribution attract 5% interest per annum as a business expense.
3
Calculate divisible profit after deducting loan interest
₦180,000 - ₦10,000 = ₦170,000
Interest on a partner's loan is a charge against profit, not an appropriation of profit.
4
Distribute divisible profit equally to Ada
₦170,000 ÷ 2 = ₦85,000
The Partnership Act 1890 mandates equal profit sharing regardless of capital contribution ratio.

Key Concept

Statutory rules under the Partnership Act 1890 in the absence of a Partnership Deed
Estimated Time:1m 30s
Question 11Question

Chukwu and Danjuma established a partnership business without drawing up a formal partnership deed. During the financial year, Chukwu advanced a loan of 200,000₦200,000 to the business beyond his agreed capital contribution. In accordance with the provisions of the Partnership Act 1890, how should the interest on Chukwu's loan be treated in the financial statements?

Show answer & explanation

Answer: Debited to the Profit and Loss Account at 5%5\% per annum as a charge against profit

Answer

Debited to the Profit and Loss Account at 5%5\% per annum as a charge against profit
According to the Partnership Act 1890, in the absence of a partnership agreement, a partner is entitled to interest at 5%5\% per annum on any advance or loan made to the firm beyond capital. Because loan interest is a liability expense, it must be debited to the Profit and Loss Account as a charge against profit.

Step-by-Step Solution

1
Identify the governing rules for the partnership
Since no partnership deed was drawn up, the provisions of the Partnership Act 1890 apply automatically.
Statutory rules govern partnership operations in the absence of an express agreement.
2
Determine the statutory treatment of partner loans under the Partnership Act 1890
Any partner advancing money beyond their agreed capital contribution is entitled to interest at 5%5\% per annum on that advance.
Partner loans are liabilities of the firm, separate from equity capital.
3
Classify the accounting treatment of interest on partner loan
The interest is a financial expense (charge against profit) and must be debited to the Profit and Loss Account.
Charges against profit are deducted to arrive at net profit, unlike appropriations which distribute net profit.

Key Concept

Statutory default provisions of the Partnership Act 1890 regarding interest on partner loans
Question 12Question

Emeka and Fatima are partners in a commercial enterprise sharing profits and losses in the ratio of 2:12:1. Their capital account balances prior to admission are 150,000\text{₦}150,000 and 90,000\text{₦}90,000 respectively. They agree to admit Audu into the partnership for a 14\frac{1}{4} share of future profits. Upon admission, a revaluation of assets results in a net loss of 15,000\text{₦}15,000, and the goodwill of the firm is valued at 60,000\text{₦}60,000. If goodwill is raised in the old ratio and immediately written off in the new profit-sharing ratio, what is Emeka's capital balance after all adjustments?

Show answer & explanation

Answer: 150,000\text{₦}150,000

Answer

Emeka's capital balance after all adjustments is 150,000\text{₦}150,000.
The correct capital balance is 150,000\text{₦}150,000. Emeka's starting capital of 150,000\text{₦}150,000 is reduced by 10,000\text{₦}10,000 (his 23\frac{2}{3} share of the 15,000\text{₦}15,000 revaluation loss), increased by 40,000\text{₦}40,000 (his 23\frac{2}{3} share of goodwill raised in the old ratio), and reduced by 30,000\text{₦}30,000 (his 24\frac{2}{4} share of goodwill written off in the new ratio 2:1:12:1:1). Net adjustments sum to zero, retaining the 150,000\text{₦}150,000 balance.

Step-by-Step Solution

1
Allocate the net revaluation loss between the existing partners using the old profit-sharing ratio (2:12:1).
Emeka's share of loss = 15,000×23=10,000\text{₦}15,000 \times \frac{2}{3} = \text{₦}10,000 (debit to Emeka's Capital Account).
Revaluation profits or losses prior to admission belong strictly to the existing partners in their old sharing ratio.
2
Credit the existing partners with the valuation of firm goodwill using the old ratio (2:12:1).
Emeka's credit for goodwill = 60,000×23=40,000\text{₦}60,000 \times \frac{2}{3} = \text{₦}40,000.
Goodwill created prior to the new partner's entry is distributed to the old partners in their old profit-sharing ratio.
3
Calculate the new profit-sharing ratio for Emeka, Fatima, and Audu.
Audu's share = 14\frac{1}{4}. Remaining share = 114=341 - \frac{1}{4} = \frac{3}{4}. Emeka's new share = 23×34=612=12\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}. Fatima's new share = 13×34=312=14\frac{1}{3} \times \frac{3}{4} = \frac{3}{12} = \frac{1}{4}. The new ratio is 2:1:12:1:1.
The new ratio determines how future profits and goodwill write-offs are allocated among all partners.
4
Debit all partners' capital accounts to write off goodwill in the new profit-sharing ratio (2:1:12:1:1).
Emeka's debit for goodwill write-off = 60,000×24=30,000\text{₦}60,000 \times \frac{2}{4} = \text{₦}30,000.
When goodwill is not to be retained in the books, it must be written off against all partners' capital accounts in the new ratio.
5
Compute Emeka's final capital balance.
Final Capital = 150,00010,000+40,00030,000=150,000\text{₦}150,000 - \text{₦}10,000 + \text{₦}40,000 - \text{₦}30,000 = \text{₦}150,000.
Combining the initial capital balance with net debit and credit adjustments yields the updated capital balance.

Key Concept

Accounting for Admission of a New Partner: Revaluation of Assets and Treatment of Goodwill (Raised and Written Off)
Question 13Question

Ngozi and Emeka are partners in a firm maintaining fluctuating capital accounts. On 1st January 2025, Ngozi's capital account balance was ₦450,000. During the year ended 31st December 2025, Ngozi introduced additional capital of ₦100,000. The partnership appropriation records show that Ngozi was credited with interest on capital of ₦45,000, a annual partner salary of ₦80,000, and a share of profit amounting to ₦120,000. During the same period, Ngozi made cash drawings of ₦60,000 and was charged ₦5,000 as interest on drawings. What is the balance of Ngozi's capital account as at 31st December 2025 in Naira (₦)?

Show answer & explanation

Answer: 730000

Answer

The balance of Ngozi's capital account as at 31st December 2025 is ₦730,000.
Under the fluctuating capital method, all capital adjustments, partner entitlements, and withdrawals are recorded directly in the Capital Account. The closing balance is calculated by summing all credit entries (Opening Capital ₦450,000 + Additional Capital ₦100,000 + Interest on Capital ₦45,000 + Salary ₦80,000 + Share of Profit ₦120,000 = ₦795,000) and subtracting all debit entries (Drawings ₦60,000 + Interest on Drawings ₦5,000 = ₦65,000), giving a closing capital balance of ₦730,000.

Step-by-Step Solution

1
Calculate total credit additions to Ngozi's capital account.
₦450,000 + ₦100,000 + ₦45,000 + ₦80,000 + ₦120,000 = ₦795,000.
Under the fluctuating capital account system, opening capital, additional capital introduced, interest on capital, partner salaries, and shares of profit are credited to the partner's capital account.
2
Calculate total debit deductions from Ngozi's capital account.
₦60,000 + ₦5,000 = ₦65,000.
Drawings and interest on drawings reduce the partner's total capital balance and are debited to the capital account.
3
Compute the closing capital balance as at 31st December 2025.
₦795,000 - ₦65,000 = ₦730,000.
Deducting total debits from total credits provides the net closing credit balance of the capital account.

Key Concept

Calculation of closing capital balance under the fluctuating capital account method.
Estimated Time:1m 30s
Question 14Question

Tunde and Folake are partners in an architectural firm sharing profits and losses in the ratio of 3:23:2. They agree to admit Ibrahim as a new partner with a 14\frac{1}{4} share in the profits of the firm. If the total goodwill of the firm is valued at 20,000\text{₦}20,000, what is the amount of goodwill premium in Naira that Ibrahim must bring in for his share?

Show answer & explanation

Answer: 5000

Answer

The amount of goodwill premium that Ibrahim must bring in is 5,000 (or ₦5,000).
Upon admission, an incoming partner is required to bring in a goodwill premium equal to their fraction of the total goodwill valuation. Multiplying the total goodwill of ₦20,000 by Ibrahim's profit share of 1/4 yields ₦5,000.

Step-by-Step Solution

1
Determine the incoming partner's profit share
Ibrahim's share of profits is 1/4
The terms of admission grant Ibrahim a 1/4 share of total future profits.
2
Compute the incoming partner's share of goodwill premium
₦20,000 × (1/4) = ₦5,000
A new partner must contribute goodwill premium proportional to the share of profits acquired.

Key Concept

Calculation of Incoming Partner's Share of Goodwill Premium
Question 15Question

Kemi and Sule are partners sharing profits and losses in the ratio 3:23:2. On the admission of Audu into the firm, the assets and liabilities were revalued as follows:
- Building (Book Value 800,000₦800,000) revalued at 1,000,000₦1,000,000
- Furniture (Book Value 400,000₦400,000) revalued at 320,000₦320,000
- Provision for Doubtful Debts (Existing balance 15,000₦15,000) to be increased to 25,000₦25,000
- An unrecorded accrued liability of 10,000₦10,000 to be recognized

What is Kemi's share of the revaluation profit or loss?

Show answer & explanation

Answer: ₦60,000 profit

Answer

Kemi's share of the revaluation profit is ₦60,000 profit.
The net revaluation gain is 100,000₦100,000, calculated by adding the gain on building (200,000₦200,000) and subtracting the losses on furniture (80,000₦80,000), increase in doubtful debt provision (10,000₦10,000), and unrecorded liability (10,000₦10,000). Sharing this net gain in the old ratio (3:23:2) gives Kemi a 3/53/5 share, which equals 60,000₦60,000 profit.

Step-by-Step Solution

1
Calculate individual gains and losses on revaluation
Building appreciation = 1,000,000800,000=+200,000₦1,000,000 - ₦800,000 = +₦200,000 (Gain); Furniture depreciation = 400,000320,000=80,000₦400,000 - ₦320,000 = -₦80,000 (Loss); Increase in Provision for Doubtful Debts = 25,00015,000=10,000₦25,000 - ₦15,000 = -₦10,000 (Loss); Unrecorded Liability = 10,000-₦10,000 (Loss).
Revaluation gain arises when assets appreciate or liabilities decrease; revaluation loss arises when assets depreciate or liabilities increase.
2
Determine the net profit or loss on revaluation
Net Profit = 200,00080,00010,00010,000=100,000₦200,000 - ₦80,000 - ₦10,000 - ₦10,000 = ₦100,000 Profit.
Summing all revaluation credits (gains) and debits (losses) yields the total revaluation surplus.
3
Apportion the net revaluation profit to Kemi using the old profit sharing ratio
Kemi's share = 33+2×100,000=35×100,000=60,000\frac{3}{3+2} \times ₦100,000 = \frac{3}{5} \times ₦100,000 = ₦60,000 Profit.
Revaluation gains/losses must strictly be distributed to existing partners using their old profit-sharing ratio.

Key Concept

Apportionment of Net Revaluation Profit/Loss to Existing Partners in Old Ratio
Question 16Question

Kemi and Funmi are partners sharing profits and losses in the ratio 3:2. For the year ended 31 December 2025, the firm reported a net profit of ₦150,000 before adjusting for interest on Kemi's loan. The following information is also available:
- Interest on Kemi's loan to the firm: ₦10,000
- Interest on drawings: Kemi ₦2,000; Funmi ₦3,000
- Partner's salary: Funmi ₦15,000
- Interest on capital: Kemi ₦10,000; Funmi ₦10,000

What is the net divisible profit to be shared between the partners in the Profit and Loss Appropriation Account?

Show answer & explanation

Answer: ₦110,000

Answer

The net divisible profit to be shared between Kemi and Funmi is ₦110,000.
Interest on partner's loan (₦10,000) is an expense charged in the Profit and Loss Account, reducing the net profit to ₦140,000. In the Profit and Loss Appropriation Account, interest on drawings (₦5,000) is added to net profit to yield ₦145,000. Deducting partner appropriations—Funmi's salary (₦15,000) and total interest on capital (₦20,000)—leaves a net divisible profit of ₦110,000.

Step-by-Step Solution

1
Calculate net profit after interest on loan
₦150,000 - ₦10,000 = ₦140,000
Interest on a partner's loan is a charge against profit (debited to P&L Account), not an appropriation of profit.
2
Add total interest on drawings to net profit
₦140,000 + (₦2,000 + ₦3,000) = ₦145,000
Interest on drawings is income to the partnership firm credited in the Appropriation Account.
3
Deduct total appropriations (partner salary and interest on capital)
₦145,000 - ₦15,000 (Salary) - ₦20,000 (Interest on Capital) = ₦110,000
Partner salaries and interest on capital are appropriations of profit distributed to partners.

Key Concept

Profit and Loss Appropriation Account Distinctions
Question 17Question

Musa and Audu are partners sharing profits and losses in the ratio 3:23:2. For the year ended 31 December 2025, the net profit before adjusting for interest on Musa's loan was 500,000₦500,000. The partnership agreement provides for the following:
- Interest on Musa's loan: 20,000₦20,000
- Interest on capital: Musa ��30,000��30,000, Audu 20,000₦20,000
- Salary to Audu: 70,000₦70,000 per annum
- Interest on drawings: Musa 10,000₦10,000, Audu 10,000₦10,000

What is the net divisible profit available for distribution among the partners?

Show answer & explanation

Answer: 380000

Answer

The net divisible profit available for distribution is 380,000₦380,000.
The net divisible profit of 380,000₦380,000 is calculated by starting with the adjusted net profit after loan interest (500,00020,000=480,000₦500,000 - ₦20,000 = ₦480,000), adding interest on drawings (10,000+10,000=20,000₦10,000 + ₦10,000 = ₦20,000), and subtracting appropriations comprising interest on capital (30,000+20,000=50,000₦30,000 + ₦20,000 = ₦50,000) and partner salary (70,000₦70,000).

Step-by-Step Solution

1
Deduct interest on partner's loan from net profit
Adjusted Net Profit = 480,000₦480,000
Interest on a partner's loan is a charge against profit in the Profit and Loss Account, not an appropriation.
2
Add total interest on drawings to net profit
Total Available Profit = 500,000₦500,000
Interest on drawings is paid by partners to the firm, which increases total profit available for appropriation.
3
Deduct appropriations of profit (interest on capital and partner salary)
Net Divisible Profit = 380,000₦380,000
Interest on capital (50,000₦50,000) and Audu's salary (70,000₦70,000) are appropriations of profit paid out of available profit.

Key Concept

Profit and Loss Appropriation Account Adjustments
Question 18Question

Folake and Uche are partners sharing profits and losses in the ratio of 5:35:3. Their capital balances prior to adjustments are 250,000\text{₦}250,000 and 150,000\text{₦}150,000 respectively. They agree to admit Chinedu into the partnership for a 15\frac{1}{5} share of future profits. On admission, equipment is revalued upward by 32,000\text{₦}32,000 and a provision for doubtful debts of 8,000\text{₦}8,000 is created. Goodwill is valued at 80,000\text{₦}80,000, raised in the old profit-sharing ratio, and immediately written off in the new profit-sharing ratio. What is the closing capital account balance of Folake after all adjustments?

Show answer & explanation

Answer: ₦275,000

Answer

The closing capital account balance of Folake after all adjustments is ₦275,000.
The correct answer is ₦275,000. Folake's opening capital of ₦250,000 is increased by her 5/8 share of the net revaluation gain of ₦24,000 (which equals ₦15,000) and her net credit from the goodwill adjustment of ₦10,000 (₦50,000 credit in old ratio minus ₦40,000 debit in new ratio).

Step-by-Step Solution

1
Calculate the net profit on revaluation of assets and liabilities.
Net revaluation profit = 32,0008,000=24,000\text{₦}32,000 - \text{₦}8,000 = \text{₦}24,000.
Revaluation gains increase capital while provisions reduce the gain.
2
Share the net revaluation profit between existing partners in their old profit-sharing ratio (5:35:3).
Folake's share = 58×24,000=15,000\frac{5}{8} \times \text{₦}24,000 = \text{₦}15,000.
Revaluation gains accrued prior to admission belong exclusively to old partners in their old ratio.
3
Determine the new profit-sharing ratio.
Chinedu's share = 15=210\frac{1}{5} = \frac{2}{10}. Remaining share for Folake and Uche = 115=451 - \frac{1}{5} = \frac{4}{5}. Folake's new share = 58×45=510\frac{5}{8} \times \frac{4}{5} = \frac{5}{10}. Uche's new share = 38×45=310\frac{3}{8} \times \frac{4}{5} = \frac{3}{10}. New ratio = 5:3:25:3:2.
Old partners share the remaining profit share proportionally to their old ratio.
4
Calculate goodwill raised in the old ratio and written off in the new ratio for Folake.
Goodwill credited to Folake (old ratio 5/85/8) = 58×80,000=50,000\frac{5}{8} \times \text{₦}80,000 = \text{₦}50,000. Goodwill debited to Folake (new ratio 5/105/10) = 510×80,000=40,000\frac{5}{10} \times \text{₦}80,000 = \text{₦}40,000. Net goodwill credit = 50,00040,000=10,000\text{₦}50,000 - \text{₦}40,000 = \text{₦}10,000.
Goodwill created is credited to old partners in old ratio and debited to all partners in new ratio when written off.
5
Compute Folake's adjusted closing capital balance.
Opening Capital (250,000\text{₦}250,000) + Revaluation Share (15,000\text{₦}15,000) + Net Goodwill Credit (10,000\text{₦}10,000) = 275,000\text{₦}275,000.
Summing the initial balance and all capital adjustments yields the final capital balance.

Key Concept

Accounting treatment of revaluation and goodwill upon admission of a new partner
Question 19Question

Kemi and Tunde are partners in a firm sharing profits and losses in the ratio of 3:23:2. On 1st January 2025, they admit Bisi into the partnership, and the new profit-sharing ratio among Kemi, Tunde, and Bisi is agreed at 5:3:25:3:2. Goodwill is to be valued at 33 years' purchase of the super profit of the firm. The average annual profit of the firm for the past four years is N45,000\mathcal{N}45,000, while the normal annual profit expected on capital employed is N25,000\mathcal{N}25,000. If goodwill is raised in the books and immediately written off, what is the net adjustment to Tunde's Capital Account?

Show answer & explanation

Answer: Credited with N6,000\mathcal{N}6,000

Answer

Credited with N6,000\mathcal{N}6,000
Super profit is calculated as N45,000N25,000=N20,000\mathcal{N}45,000 - \mathcal{N}25,000 = \mathcal{N}20,000. Total goodwill equals 3×N20,000=N60,0003 \times \mathcal{N}20,000 = \mathcal{N}60,000. Raising goodwill credits Tunde's Capital Account with 25×N60,000=N24,000\frac{2}{5} \times \mathcal{N}60,000 = \mathcal{N}24,000, while writing off goodwill debits Tunde's Capital Account with 310×N60,000=N18,000\frac{3}{10} \times \mathcal{N}60,000 = \mathcal{N}18,000. The net difference is a credit adjustment of N6,000\mathcal{N}6,000.

Step-by-Step Solution

1
Calculate the super profit of the firm
Super Profit = Average Profit - Normal Profit = N45,000N25,000=N20,000\mathcal{N}45,000 - \mathcal{N}25,000 = \mathcal{N}20,000
Super profit is the excess of average profit over expected normal profit.
2
Calculate total valuation of goodwill
Firm Goodwill = 3×N20,000=N60,0003 \times \mathcal{N}20,000 = \mathcal{N}60,000
Goodwill is calculated at 3 years' purchase of super profit.
3
Determine Tunde's credit share when raising goodwill in the old ratio (3:23:2)
Tunde's Credit Share = 25×N60,000=N24,000\frac{2}{5} \times \mathcal{N}60,000 = \mathcal{N}24,000
Goodwill existing prior to admission is credited to old partners in their old profit-sharing ratio.
4
Determine Tunde's debit share when writing off goodwill in the new ratio (5:3:25:3:2)
Tunde's Debit Share = 310×N60,000=N18,000\frac{3}{10} \times \mathcal{N}60,000 = \mathcal{N}18,000
Goodwill written off is debited to all partners in the new profit-sharing ratio.
5
Compute the net adjustment to Tunde's Capital Account
Net Adjustment = Credit of N24,000Debit of N18,000=Credit of N6,000\mathcal{N}24,000 - \text{Debit of } \mathcal{N}18,000 = \text{Credit of } \mathcal{N}6,000
Comparing total credit and debit entries gives a net credit adjustment of N6,000\mathcal{N}6,000.

Key Concept

Valuation of Goodwill via Super Profit Method and Accounting Treatment on Admission of a Partner
Question 20Question

Emeka and Tunde are partners in a business. For the year ended 31 December 2025, the net profit before adjusting for interest on Tunde's loan of ₦30,000 was ₦450,000. The partnership agreement provides for:
- Salary to Emeka: ₦50,000
- Total interest on capital: ₦70,000
- Total interest on drawings: ₦20,000

What is the net divisible profit to be shared between the partners?

Show answer & explanation

Answer: ₦320,000

Answer

The net divisible profit to be shared between the partners is ₦320,000.
Net divisible profit is determined after deducting charges such as loan interest in the Profit and Loss Account (₦450,000 - ₦30,000 = ₦420,000). Adding interest on drawings (₦20,000) and subtracting appropriations for salary (₦50,000) and interest on capital (₦70,000) gives ₦320,000.

Step-by-Step Solution

1
Calculate net profit after charging interest on partner loan
₦450,000 - ₦30,000 = ₦420,000
Interest on partner's loan is an expense in the Profit and Loss Account, not an appropriation of profit.
2
Add interest on drawings to net profit
₦420,000 + ₦20,000 = ₦440,000
Interest on drawings is income charged to partners, increasing total profits available for appropriation.
3
Deduct partner salary and interest on capital
₦440,000 - ₦50,000 (Salary) - ₦70,000 (Interest on Capital) = ₦320,000
Partner salaries and interest on capital are appropriations paid to partners out of divisible profits.

Key Concept

Profit and Loss Appropriation Account adjustments
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