Treatment and Valuation of Goodwill

15 questions

Question 1Question

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 2Question

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 3Question

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 4Question

Ngozi and Bello are partners in a firm sharing profits and losses in the ratio of 3:23:2. They admit Emeka into the partnership for a 14\frac{1}{4} share of future profits. Emeka pays N20,000\mathcal{N}20,000 in cash as his share of premium for goodwill, which is to be retained in the business. Which of the following correctly describes the ledger entry required to credit the existing partners for the goodwill premium?

Show answer & explanation

Answer: Credit Ngozi's Capital Account with N12,000\mathcal{N}12,000 and Bello's Capital Account with N8,000\mathcal{N}8,000

Answer

Credit Ngozi's Capital Account with N12,000\mathcal{N}12,000 and Bello's Capital Account with N8,000\mathcal{N}8,000
When an incoming partner brings cash for premium for goodwill, the cash is debited to the Bank/Cash account and credited to the existing partners' capital accounts in their sacrificing ratio. With an old ratio of 3:23:2, Ngozi receives 35×N20,000=N12,000\frac{3}{5} \times \mathcal{N}20,000 = \mathcal{N}12,000 and Bello receives 25×N20,000=N8,000\frac{2}{5} \times \mathcal{N}20,000 = \mathcal{N}8,000.

Step-by-Step Solution

1
Determine the sacrificing ratio of the existing partners
Since no new ratio is explicitly stated, the sacrificing ratio equals the old profit-sharing ratio of 3:23:2 (total parts = 3+2=53 + 2 = 5).
When a new partner is admitted without specific new ratio details, existing partners sacrifice in their old profit-sharing ratio.
2
Calculate Ngozi's share of the goodwill premium
Ngozi's share = 35×N20,000=N12,000\frac{3}{5} \times \mathcal{N}20,000 = \mathcal{N}12,000
Multiply total premium by Ngozi's proportion of the sacrificing ratio.
3
Calculate Bello's share of the goodwill premium
Bello's share = 25×N20,000=N8,000\frac{2}{5} \times \mathcal{N}20,000 = \mathcal{N}8,000
Multiply total premium by Bello's proportion of the sacrificing ratio.
4
Formulate the credit entry to capital accounts
Credit Ngozi's Capital Account with N12,000\mathcal{N}12,000 and Bello's Capital Account with N8,000\mathcal{N}8,000.
Goodwill premium brought in cash is credited to old partners' capital accounts to compensate them for sacrificing future profit shares.

Key Concept

Accounting treatment of premium for goodwill on admission of a partner
Question 5Question

Chidi and Obinna are partners in a firm sharing profits and losses in the ratio of 3:23:2. They admit Farooq into the partnership, and the new profit-sharing ratio among Chidi, Obinna, and Farooq is agreed as 2:2:12:2:1. The goodwill of the firm is valued at N50,000\mathbb{N}50,000, and the partners decide to write off the goodwill account immediately. Which accounting entry correctly records the write-off of goodwill?

Show answer & explanation

Answer: Debit Chidi's Capital Account N20,000\mathbb{N}20,000, Debit Obinna's Capital Account N20,000\mathbb{N}20,000, Debit Farooq's Capital Account N10,000\mathbb{N}10,000; Credit Goodwill Account N50,000\mathbb{N}50,000

Answer

Debit Chidi's Capital Account N20,000\mathbb{N}20,000, Debit Obinna's Capital Account N20,000\mathbb{N}20,000, Debit Farooq's Capital Account N10,000\mathbb{N}10,000; Credit Goodwill Account N50,000\mathbb{N}50,000
When a firm decides not to maintain a goodwill account in its books, goodwill must be written off against all partners' capital accounts in their new profit-sharing ratio. With total goodwill at N50,000\mathbb{N}50,000 and a new ratio of 2:2:12:2:1, Chidi and Obinna are debited with N20,000\mathbb{N}20,000 each, Farooq is debited with N10,000\mathbb{N}10,000, and the Goodwill account is credited with N50,000\mathbb{N}50,000.

Step-by-Step Solution

1
Identify the total value of goodwill and the write-off rule
Total goodwill = N50,000\mathbb{N}50,000. Goodwill written off must be shared among all partners in their new profit-sharing ratio.
When goodwill is not to be retained in the books, it is eliminated by charging it to all partners in the new profit-sharing ratio.
2
Calculate each partner's share using the new profit-sharing ratio (2:2:1)
Chidi: 25×N50,000=N20,000\frac{2}{5} \times \mathbb{N}50,000 = \mathbb{N}20,000; Obinna: 25×N50,000=N20,000\frac{2}{5} \times \mathbb{N}50,000 = \mathbb{N}20,000; Farooq: 15×N50,000=N10,000\frac{1}{5} \times \mathbb{N}50,000 = \mathbb{N}10,000
The sum of the ratio parts is 2+2+1=52 + 2 + 1 = 5 parts.
3
Determine the debit and credit journal entries
Debit each partner's capital account for their calculated share and credit Goodwill Account for N50,000\mathbb{N}50,000
Debiting capital accounts reduces partners' equity to write off the asset, while crediting goodwill closes the asset account.

Key Concept

Writing Off Goodwill in Partnership Accounts
Question 6Question

Match each partnership goodwill scenario upon the admission of a new partner with its correct accounting entry treatment in the ledger books.

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Items

Goodwill is raised at full value in the books of the existing partners before admitting a new partner.
Goodwill created in the books is subsequently fully written off by all partners.
The incoming partner pays a premium for goodwill directly to existing partners privately.
Goodwill is adjusted strictly through partner capital accounts without opening a goodwill account.

Matches

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Answer

1. Raising goodwill at full value matches with 'Debit Goodwill Account; Credit Old Partners' Capital Accounts in old profit-sharing ratio.' 2. Writing off goodwill matches with 'Debit All Partners' Capital Accounts in new profit-sharing ratio; Credit Goodwill Account.' 3. Premium paid privately matches with 'No journal entry is recorded in the firm's books of account.' 4. Adjusting goodwill through capital accounts matches with 'Debit New Partner's Capital Account with their share; Credit Old Partners' Capital Accounts in sacrificing ratio.'
Each scenario reflects standard partnership accounting rules under JAMB UTME guidelines: raising goodwill credits old partners in the old ratio, writing off debits all partners in the new ratio, private transactions require no book entries, and direct capital adjustments debit the incoming partner while crediting sacrificing partners.

Step-by-Step Solution

1
Analyze the entry for raising goodwill
Goodwill is an asset created on the debit side, credited to existing partners in their old ratio.
Existing partners generated the goodwill prior to the admission of the new partner.
2
Analyze the entry for writing off goodwill
Goodwill asset is closed by crediting Goodwill Account and debiting all partners in the new ratio.
Writing off ensures no goodwill remains on the Balance Sheet and charges all current partners in their new profit distribution agreement.
3
Evaluate private payment of premium
No entry is recorded in the firm's accounting records.
Under the entity concept, personal transactions between individuals outside the firm are excluded from business financial statements.
4
Evaluate direct capital account adjustments for goodwill
Debit new partner's capital account for their share of goodwill, credit existing partners' capital accounts in sacrificing ratio.
This compensates existing partners for surrendering a portion of their profit share without creating an intangible asset account.

Key Concept

Accounting Treatment of Goodwill on Partner Admission
Question 7Question

Match each goodwill valuation method or accounting treatment in partnership accounts on the left with its corresponding description or journal entry rule on the right.

Click a left item, then click its matching right item

Items

Average Profit Method
Premium for Goodwill Method
Raising Goodwill in Books
Writing Off Goodwill

Matches

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Answer

Average Profit Method pairs with calculating goodwill using average profits multiplied by years' purchase; Premium for Goodwill Method pairs with incoming partner paying cash credited to old partners in sacrificing ratio; Raising Goodwill pairs with debiting Goodwill Account and crediting Old Partners in old ratio; Writing Off Goodwill pairs with debiting All Partners in new ratio and crediting Goodwill Account.
Each valuation method and journal entry strictly follows partnership accounting standards: Average Profit Method uses maintainable profits multiplied by years' purchase; Premium for Goodwill compensates old partners in their sacrificing ratio; Raising goodwill credits old partners in their old ratio; Writing off goodwill debits all partners in their new ratio.

Step-by-Step Solution

1
Identify the basic formula for the Average Profit Method of valuation.
Goodwill = Average Maintainable Profits × Number of Years' Purchase.
This method relies on historical average profit multiplied by an agreed duration factor.
2
Determine the treatment when an incoming partner pays a cash premium for goodwill.
Cash/Bank is debited and existing partners' capital accounts are credited in their sacrificing ratio.
The premium compensates existing partners for surrendering a fraction of their future profit share.
3
Determine the journal entry required to raise goodwill in the firm's books.
Debit Goodwill Account, Credit Old Partners' Capital Accounts in their old profit-sharing ratio.
Raising goodwill recognizes an intangible asset built by existing partners prior to any structural change.
4
Determine the journal entry required to write off goodwill from the firm's books.
Debit All Partners' Capital Accounts in their new profit-sharing ratio, Credit Goodwill Account.
Writing off goodwill removes the asset from the balance sheet across all current partners based on their updated profit-sharing proportions.

Key Concept

Treatment and Valuation of Goodwill in Partnership Accounts
Question 8Question

Ada and Babatunde are existing partners in a firm sharing profits and losses in the ratio of 3:23:2. Upon the admission of a new partner, the firm's goodwill is valued at 50,000\text{₦}50,000 and is to be raised in the accounts. How much goodwill should be credited to the capital accounts of Ada and Babatunde respectively?

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Answer: Ada: ₦30,000; Babatunde: ₦20,000

Answer

Ada's capital account should be credited with ₦30,000 and Babatunde's capital account should be credited with ₦20,000.
When goodwill is raised in partnership accounts, the Goodwill Account is debited with the total value and the existing partners' Capital Accounts are credited in their old profit-sharing ratio (3:23:2). Therefore, Ada receives 35×50,000=30,000\frac{3}{5} \times \text{₦}50,000 = \text{₦}30,000 and Babatunde receives 25×50,000=20,000\frac{2}{5} \times \text{₦}50,000 = \text{₦}20,000.

Step-by-Step Solution

1
Determine the total ratio shares for the existing partners
The total ratio shares equal 3+2=53 + 2 = 5 parts.
Profit sharing ratio is 3:2 between Ada and Babatunde.
2
Calculate Ada's share of the goodwill
Ada’s share=35×50,000=30,000\text{Ada's share} = \frac{3}{5} \times \text{₦}50,000 = \text{₦}30,000
Ada receives 3 out of 5 shares of the raised goodwill.
3
Calculate Babatunde's share of the goodwill
Babatunde’s share=25×50,000=20,000\text{Babatunde's share} = \frac{2}{5} \times \text{₦}50,000 = \text{₦}20,000
Babatunde receives 2 out of 5 shares of the raised goodwill.

Key Concept

Accounting Treatment for Raising Goodwill in Partnership Accounts
Estimated Time:45s
Question 9Question

Ade and Bola are partners in a business sharing profits and losses in the ratio of 3:23:2. They agree to admit Chidi into the firm with a 15\frac{1}{5} share of future profits. The firm's goodwill is valued at N50,000\text{N}50,000. If goodwill is raised in the books of the firm and immediately written off, what is the net financial effect on Bola's capital account?

Show answer & explanation

Answer: Net credit of N4,000\text{N}4,000

Answer

Bola's capital account receives a net credit of N4,000\text{N}4,000.
When goodwill is raised and written off, existing partners are credited in the old profit-sharing ratio (3:23:2) and all partners are debited in the new profit-sharing ratio (12:8:512:8:5). Crediting Bola with N20,000\text{N}20,000 and debiting Bola with N16,000\text{N}16,000 leaves a net credit of N4,000\text{N}4,000 in Bola's capital account.

Step-by-Step Solution

1
Calculate the new profit-sharing ratio among Ade, Bola, and Chidi
Chidi's share = 15\frac{1}{5}. Remaining share = 115=451 - \frac{1}{5} = \frac{4}{5}. Ade's new share = 35×45=1225\frac{3}{5} \times \frac{4}{5} = \frac{12}{25}. Bola's new share = 25×45=825\frac{2}{5} \times \frac{4}{5} = \frac{8}{25}. Chidi's new share = 525\frac{5}{25}. New ratio = 12:8:512:8:5.
When a new partner is admitted, the remaining share after deducting the new partner's fraction is distributed among existing partners according to their old ratio.
2
Calculate Bola's share when goodwill is raised in the old ratio (3:23:2)
Credit to Bola's Capital Account = 25×N50,000=N20,000\frac{2}{5} \times \text{N}50,000 = \text{N}20,000.
Goodwill is raised by crediting the existing partners' capital accounts in their old profit-sharing ratio.
3
Calculate Bola's share when goodwill is written off in the new ratio (12:8:512:8:5)
Debit to Bola's Capital Account = 825×N50,000=N16,000\frac{8}{25} \times \text{N}50,000 = \text{N}16,000.
Goodwill is written off by debiting all partners' (including the new partner) capital accounts in their new profit-sharing ratio.
4
Determine the net effect on Bola's capital account
Net effect = N20,000 (Credit)N16,000 (Debit)=N4,000 (Net Credit)\text{N}20,000\text{ (Credit)} - \text{N}16,000\text{ (Debit)} = \text{N}4,000\text{ (Net Credit)}.
Comparing the total credit and debit entries gives the overall adjustment to Bola's capital account.

Key Concept

Treatment of Goodwill upon Admission of a Partner (Raising and Writing Off)
Question 10Question

Kemi and Emeka are partners in a firm sharing profits and losses in the ratio of 3:23:2. The profits of the firm for the past four years were N180,000\text{N}180,000, N220,000\text{N}220,000, N240,000\text{N}240,000, and N200,000\text{N}200,000 respectively. The capital employed in the firm is N1,200,000\text{N}1,200,000, and the normal rate of return expected on capital employed in this industry is 12%12\%. Goodwill is valued at 33 years' purchase of the super profit. Fola is admitted as a new partner for a 16\frac{1}{6} share in profits, with the new profit-sharing ratio agreed as 3:2:13:2:1. If goodwill is adjusted through the capital accounts without opening a goodwill account, what is the net credit amount (in Naira) to Emeka's capital account for goodwill?

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Answer: 13200

Answer

The net credit amount to Emeka's capital account for goodwill is 13,200 Naira.
To find the net credit to Emeka's capital account, first compute average profit (N210,000) and normal profit (12% of N1,200,000 = N144,000). The super profit is N66,000, giving a total goodwill of N198,000 (3 × N66,000). Crediting Emeka in the old ratio (2/5) gives N79,200, and debiting Emeka in the new ratio (2/6) gives N66,000. The net adjustment is a credit of N13,200.

Step-by-Step Solution

1
Calculate the average profit of the firm
N210,000
Average profit is computed by dividing the sum of profits over 4 years (N840,000) by 4.
2
Calculate the normal profit
N144,000
Normal profit is calculated as the normal rate of return (12%) multiplied by capital employed (N1,200,000).
3
Calculate super profit
N66,000
Super profit is the excess of average profit over normal profit (N210,000 - N144,000).
4
Calculate total valuation of goodwill
N198,000
Goodwill is 3 years' purchase of super profit (3 × N66,000).
5
Determine Emeka's credit share in old profit-sharing ratio
N79,200
Goodwill is credited to old partners in old ratio 3:2 (2/5 of N198,000).
6
Determine Emeka's debit share in new profit-sharing ratio
N66,000
Goodwill written off is debited to all partners in new ratio 3:2:1 (2/6 of N198,000).
7
Calculate net credit adjustment to Emeka's capital account
N13,200
Subtract debit entry from credit entry (N79,200 - N66,000 = N13,200).

Key Concept

Valuation of goodwill using super profit method and net adjustment of goodwill through capital accounts upon admission of a partner.
Estimated Time:2m 30s
Question 11Question

Match each goodwill scenario or valuation method in partnership accounting on the left with its corresponding accounting treatment or formula on the right.

Click a left item, then click its matching right item

Items

Raising firm goodwill at full value upon the admission of a new partner
Writing off goodwill immediately after it has been raised in full
Valuation of goodwill using the Capitalization of Super Profit method
Goodwill premium paid privately by a new partner directly to existing partners

Matches

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Answer

1. Raising goodwill at full value matches with debited to Goodwill Account and credited to Old Partners' Capital Accounts in their old profit-sharing ratio. 2. Writing off goodwill matches with debited to All Partners' Capital Accounts in their new ratio and credited to Goodwill Account. 3. Capitalization of Super Profit method matches with Super Profit divided by Normal Rate of Return multiplied by 100. 4. Private payment of goodwill premium matches with no entry in the partnership books.
Each partnership scenario directly corresponds to its established double-entry bookkeeping rule or mathematical formula: raising goodwill credits old partners in their old ratio, writing off debits all partners in their new ratio, super profit capitalization divides super profit by the normal rate of return, and private transactions require no entries in the firm's accounts.

Step-by-Step Solution

1
Analyze the journal entry for raising goodwill.
Raising goodwill creates an asset (Debit Goodwill) and recognizes the past efforts of old partners (Credit Old Partners' Capital in Old Ratio).
Goodwill created before admission belongs exclusively to existing partners.
2
Analyze the journal entry for writing off goodwill.
Writing off goodwill eliminates the intangible asset (Credit Goodwill) and charges all partners according to the new profit distribution (Debit All Partners' Capital in New Ratio).
If goodwill is not retained in the books, all partners bear the write-off in their agreed future sharing proportions.
3
Identify the formula for Capitalization of Super Profit.
Goodwill = Super ProfitNormal Rate of Return×100\frac{\text{Super Profit}}{\text{Normal Rate of Return}} \times 100.
This determines the capital amount required to generate the excess profit at the standard return rate.
4
Evaluate private settlement of goodwill.
Private settlements bypass the firm's accounting record.
Only business entity transactions are recorded in financial accounting.

Key Concept

Treatment and Valuation of Goodwill in Partnership Accounts
Question 12Question

Efe and Kemi are partners sharing profits and losses in the ratio of 3:13:1. They admit Segun into the firm, giving him a 15\frac{1}{5} share of future profits. The firm's goodwill is valued at 60,000\text{₦}60,000, and the partners agree that goodwill will be raised and immediately written off. What is the net entry required in Efe's capital account?

Show answer & explanation

Answer: Net credit of 9,000\text{₦}9,000

Answer

The correct adjustment is a net credit of 9,000\text{₦}9,000 to Efe's capital account.
When goodwill is created and immediately written off upon admitting a new partner, the firm credits existing partners in the old ratio (3:13:1) and debits all partners in the new ratio (3:1:13:1:1). Efe receives a credit of 45,000\text{₦}45,000 (34×60,000\frac{3}{4} \times \text{₦}60,000) and a debit of 36,000\text{₦}36,000 (35×60,000\frac{3}{5} \times \text{₦}60,000). The difference results in a net credit of 9,000\text{₦}9,000.

Step-by-Step Solution

1
Determine the new profit-sharing ratio
Segun's share = 15\frac{1}{5}. Remaining share = 115=451 - \frac{1}{5} = \frac{4}{5}. Efe's new share = 34×45=35\frac{3}{4} \times \frac{4}{5} = \frac{3}{5}. Kemi's new share = 14×45=15\frac{1}{4} \times \frac{4}{5} = \frac{1}{5}. The new ratio among Efe, Kemi, and Segun is 3:1:13:1:1.
Goodwill write-off must be shared among all partners in their new profit-sharing ratio.
2
Calculate goodwill credited to Efe when raised
Credit to Efe = 34×60,000=45,000\frac{3}{4} \times \text{₦}60,000 = \text{₦}45,000.
Goodwill is initially raised by crediting existing partners in their old profit-sharing ratio (3:13:1).
3
Calculate goodwill debited to Efe when written off
Debit to Efe = 35×60,000=36,000\frac{3}{5} \times \text{₦}60,000 = \text{₦}36,000.
Goodwill is written off by debiting all partners in their new profit-sharing ratio (3:1:13:1:1).
4
Determine the net adjustment for Efe
Net entry = Credit of 45,000\text{₦}45,000 - Debit of 36,000\text{₦}36,000 = Net credit of 9,000\text{₦}9,000.
Subtracting the debit from the credit gives the net capital account entry.

Key Concept

Accounting treatment of goodwill upon admission of a partner when goodwill is raised and written off.
Question 13Question

Match each goodwill accounting method or transaction scenario on the left with its correct valuation basis or ledger treatment on the right.

Click a left item, then click its matching right item

Items

Average Profit Method
Super Profit Method
Private Payment of Goodwill
Goodwill Written Off

Matches

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Answer

Average Profit Method matches with valuation based on mean past profits multiplied by an agreed number of years' purchase; Super Profit Method matches with valuation based on earnings achieved over and above normal expected profit; Private Payment of Goodwill matches with no journal entry is recorded in the partnership books; Goodwill Written Off matches with debited to partners' capital accounts in their new profit-sharing ratio.
Each valuation method and accounting scenario is paired directly with its defining rule: Average Profit relies on mean past earnings, Super Profit calculates earnings exceeding normal returns, Private Payment bypasses firm accounts completely, and Goodwill Written Off is debited to partners' capital accounts using the new profit-sharing ratio.

Step-by-Step Solution

1
Identify the basic valuation formulas for goodwill.
Average profit uses mean earnings of previous years, while super profit measures profit above the normal expected rate of return.
These are the fundamental conceptual definitions tested in partnership accounting.
2
Determine the book entry required when goodwill premium is paid privately.
No journal entry is made in the firm's books.
Private transactions between individuals do not affect the financial position or accounts of the partnership firm.
3
Determine the accounting treatment for writing off goodwill.
Debit partners' capital accounts using the new profit-sharing ratio.
Goodwill is raised using the old profit-sharing ratio and eliminated/written off using the new profit-sharing ratio.

Key Concept

Valuation methods and accounting treatments of goodwill in partnership accounts
Estimated Time:1m 0s
Question 14Question

The net profits of a partnership firm for the last three years were 70,000\text{₦}70,000, 80,000\text{₦}80,000, and 90,000\text{₦}90,000. If goodwill is to be valued at 22 years' purchase of the average annual profit of the past three years, what is the total value of the firm's goodwill in Naira?

Show answer & explanation

Answer: 160000

Answer

The total value of the firm's goodwill is 160,000\text{₦}160,000.
The average annual profit is calculated by taking the total profit of 240,000\text{₦}240,000 and dividing by 3 years, giving 80,000\text{₦}80,000. Multiplying this average annual profit by 2 years' purchase yields 160,000\text{₦}160,000.

Step-by-Step Solution

1
Calculate total profits for the three-year period
Total Profit = 70,000+80,000+90,000=240,000\text{₦}70,000 + \text{₦}80,000 + \text{₦}90,000 = \text{₦}240,000
Summing annual profits is the first step in determining average profit.
2
Calculate the average annual profit
Average Profit = 240,0003=80,000\frac{\text{₦}240,000}{3} = \text{₦}80,000
Dividing total profits by the number of years gives the mean annual profit.
3
Multiply average profit by the number of years' purchase
Goodwill = 80,000×2=160,000\text{₦}80,000 \times 2 = \text{₦}160,000
Goodwill is agreed to be valued at 2 years' purchase of the average annual profit.

Key Concept

Valuation of Goodwill using the Average Profit Method
Question 15Question

Tunde and Wole are partners in a business sharing profits and losses in the ratio of 3:23:2. They agree to admit Musa into the partnership for a 16\frac{1}{6} share of future profits. On Musa's admission, goodwill is valued at 60,000\text{₦}60,000. If goodwill is raised in the old profit-sharing ratio and immediately written off in the new profit-sharing ratio, what is the net adjustment to Tunde's capital account?

Show answer & explanation

Answer: Net credit of 6,000\text{₦}6,000

Answer

Net credit of 6,000\text{₦}6,000
When goodwill of 60,000\text{₦}60,000 is raised in the old ratio (3:23:2), Tunde's capital account is credited with 35×60,000=36,000\frac{3}{5} \times \text{₦}60,000 = \text{₦}36,000. When goodwill is written off in the new ratio (3:2:13:2:1), Tunde's capital account is debited with 36×60,000=30,000\frac{3}{6} \times \text{₦}60,000 = \text{₦}30,000. The net difference is a credit of 6,000\text{₦}6,000.

Step-by-Step Solution

1
Calculate the new profit-sharing ratio among Tunde, Wole, and Musa
Musa's share = 16\frac{1}{6}. Remaining share = 116=561 - \frac{1}{6} = \frac{5}{6}. Tunde's new share = 35×56=36\frac{3}{5} \times \frac{5}{6} = \frac{3}{6}. Wole's new share = 25×56=26\frac{2}{5} \times \frac{5}{6} = \frac{2}{6}. New ratio = 3:2:13:2:1.
The new ratio is required to write off goodwill across all partners.
2
Calculate Tunde's credit share when raising goodwill in the old ratio (3:23:2)
Tunde's credit = 60,000×35=36,000\text{₦}60,000 \times \frac{3}{5} = \text{₦}36,000 Credit.
Goodwill raised belongs to existing partners in their old profit-sharing ratio.
3
Calculate Tunde's debit share when writing off goodwill in the new ratio (3:2:13:2:1)
Tunde's debit = 60,000×36=30,000\text{₦}60,000 \times \frac{3}{6} = \text{₦}30,000 Debit.
When written off, goodwill is debited to all partners in the new profit-sharing ratio.
4
Determine the net adjustment for Tunde
Net position = 36,000 (Credit)30,000 (Debit)=6,000 Credit\text{₦}36,000 \text{ (Credit)} - \text{₦}30,000 \text{ (Debit)} = \text{₦}6,000 \text{ Credit}.
Comparing the credit and debit amounts yields the net change in Tunde's capital account.

Key Concept

Accounting treatment of goodwill upon admission of a partner by raising and writing off goodwill
Estimated Time:1m 30s
Treatment and Valuation of Goodwill Practice Questions — JAMB UTME | Examkin