Admission of a New Partner

13 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{₦})?

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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

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?

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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 3Question

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?

Show answer & explanation

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 4Question

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?

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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 5Question

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?

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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 6Question

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?

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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 7Question

Zainab and Babatunde are partners in a haulage enterprise sharing profits and losses in the ratio of 3:23:2. Prior to the admission of Chijioke, their capital balances were 400,000\text{₦}400,000 and 300,000\text{₦}300,000 respectively. Upon admitting Chijioke to a 15\frac{1}{5} share in the profits, the firm's assets were revalued, resulting in an appreciation of 80,000\text{₦}80,000 on machinery and a depreciation of 20,000\text{₦}20,000 on inventory. Additionally, goodwill was valued at 150,000\text{₦}150,000, and Chijioke brought in his share of goodwill premium in cash to be distributed to the existing partners. What is the updated balance of Zainab's capital account immediately following these admission adjustments?

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Answer: 454000

Answer

The updated balance of Zainab's capital account immediately following the admission adjustments is ₦454,000.
Zainab's capital account begins with ₦400,000. The net gain on revaluation (₦80,000 appreciation minus ₦20,000 depreciation = ₦60,000) is split in the old ratio of 3:2, adding ₦36,000 to her account. The goodwill premium paid by Chijioke is 1/5 of ₦150,000, which equals ₦30,000; Zainab receives 3/5 of this premium (₦18,000). Adding these yields an updated capital balance of ₦454,000.

Step-by-Step Solution

1
Calculate the net gain or loss on revaluation of assets
Net Revaluation Gain = ₦80,000 - ₦20,000 = ₦60,000
Appreciation increases asset value while depreciation decreases it. The net figure represents total gain shared by existing partners.
2
Distribute the net revaluation gain to Zainab using the old profit sharing ratio
Zainab's Share of Revaluation Gain = 3/5 × ₦60,000 = ₦36,000
Revaluation gains belong to existing partners in their old profit sharing ratio.
3
Determine Chijioke's share of goodwill and allocate premium to Zainab
Goodwill Premium = 1/5 × ₦150,000 = ₦30,000; Zainab's Share = 3/5 × ₦30,000 = ₦18,000
The incoming partner pays premium for goodwill proportional to their profit share, which is credited to existing partners in their sacrificing ratio.
4
Sum Zainab's initial capital and all admission credits
Updated Capital Balance = ₦400,000 + ₦36,000 + ₦18,000 = ₦454,000
Capital accounts increase with revaluation gains and goodwill premium credits.

Key Concept

Adjustment of Partner's Capital Account on Admission
Question 8Question

Bello and Kabir are partners in a trading firm sharing profits and losses in the ratio of 4:14:1. They admit Danladi into the partnership, giving him a 16\frac{1}{6} share of future profits. The goodwill of the firm is valued at 120,000\text{₦}120,000, and Danladi brings in his required share of goodwill in cash. What is the amount of goodwill premium (in Naira) to be credited to Kabir's capital account?

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Answer: 4000

Answer

The amount of goodwill premium credited to Kabir's capital account is ₦4,000.
The total goodwill of the firm is 120,000\text{₦}120,000. Danladi's 16\frac{1}{6} share of goodwill is 16×120,000=20,000\frac{1}{6} \times \text{₦}120,000 = \text{₦}20,000. This premium is shared between Bello and Kabir in their sacrificing ratio of 4:14:1. Therefore, Kabir receives 15×20,000=4,000\frac{1}{5} \times \text{₦}20,000 = \text{₦}4,000.

Step-by-Step Solution

1
Determine the new partner's share of goodwill
Danladi's share of goodwill = 16×120,000=20,000\frac{1}{6} \times \text{₦}120,000 = \text{₦}20,000
The incoming partner pays a premium for goodwill proportional to their share of future profits.
2
Apportion the goodwill premium to the existing partners
Kabir's share = 15×20,000=4,000\frac{1}{5} \times \text{₦}20,000 = \text{₦}4,000
Goodwill premium brought in cash by a new partner is credited to existing partners in their sacrificing ratio (which equals their old profit-sharing ratio of 4:14:1 when no new ratio among old partners is specified).

Key Concept

Valuation and distribution of goodwill premium upon admission of a new partner
Question 9Question

Sola and Musa are partners in a consulting firm sharing profits and losses in the ratio of 3:13:1. They admit Obinna into the partnership with a 15\frac{1}{5} share of future profits. Obinna brings in 120,000\text{₦}120,000 in cash as goodwill premium to be shared by the existing partners. How much goodwill premium will be credited to Musa's capital account?

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Answer: 30,000\text{₦}30,000

Answer

Musa will be credited with 30,000\text{₦}30,000 as his share of the goodwill premium.
Goodwill premium paid by an incoming partner is distributed among existing partners in their sacrificing ratio. Since no special agreement is mentioned, Sola and Musa sacrifice in their original profit sharing ratio of 3:13:1. Musa's share is 14×120,000=30,000\frac{1}{4} \times \text{₦}120,000 = \text{₦}30,000.

Step-by-Step Solution

1
Determine the sacrificing ratio of the existing partners
Since no specific sacrifice terms are given, Sola and Musa sacrifice in their old profit sharing ratio of 3:13:1.
When a new partner is admitted without a specified new ratio, existing partners sacrifice in proportion to their old ratio.
2
Calculate Musa's share of the goodwill premium
Musa’s share=13+1×120,000=14×120,000=30,000\text{Musa's share} = \frac{1}{3 + 1} \times \text{₦}120,000 = \frac{1}{4} \times \text{₦}120,000 = \text{₦}30,000.
Goodwill premium brought in cash by an incoming partner is credited to existing partners' capital accounts in their sacrificing ratio.

Key Concept

Distribution of Goodwill Premium upon Admission of a New Partner
Estimated Time:1m 30s
Question 10Question

Peter and Paul are partners in a trading firm sharing profits and losses in the ratio of 3:23:2. They admit Grace into the partnership, granting her a 15\frac{1}{5} share of the total profits. What is the new profit-sharing ratio of Peter, Paul, and Grace?

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Answer: 12:8:512 : 8 : 5

Answer

The new profit-sharing ratio of Peter, Paul, and Grace is 12:8:512 : 8 : 5.
When Grace is admitted with a 15\frac{1}{5} share, the total remaining profit available to Peter and Paul is 115=451 - \frac{1}{5} = \frac{4}{5}. Peter's new share is 35×45=1225\frac{3}{5} \times \frac{4}{5} = \frac{12}{25}, Paul's new share is 25×45=825\frac{2}{5} \times \frac{4}{5} = \frac{8}{25}, and Grace's share expressed with the same denominator is 525\frac{5}{25}. Combining these gives the new ratio of 12:8:512 : 8 : 5.

Step-by-Step Solution

1
Calculate the remaining profit share after admitting Grace
Remaining share = 115=451 - \frac{1}{5} = \frac{4}{5}
Grace is given a 15\frac{1}{5} share of the total firm's profit.
2
Calculate Peter's new share of profit
Peter's share = 35×45=1225\frac{3}{5} \times \frac{4}{5} = \frac{12}{25}
Peter retains his relative proportion of 35\frac{3}{5} out of the remaining 45\frac{4}{5} share.
3
Calculate Paul's new share of profit
Paul's share = 25×45=825\frac{2}{5} \times \frac{4}{5} = \frac{8}{25}
Paul retains his relative proportion of 25\frac{2}{5} out of the remaining 45\frac{4}{5} share.
4
Express Grace's share with a common denominator of 25
Grace's share = 15=525\frac{1}{5} = \frac{5}{25}
A common denominator is required to establish the ratio.
5
Write the new profit-sharing ratio
Peter : Paul : Grace = 12:8:512 : 8 : 5
Comparing the numerators 1225:825:525\frac{12}{25} : \frac{8}{25} : \frac{5}{25} gives 12:8:512 : 8 : 5.

Key Concept

Calculation of New Profit Sharing Ratio on Admission of a New Partner
Question 11Question

Victor and Raymond are partners in a business sharing profits and losses in the ratio of 3:23:2. They admit Kenneth as a new partner, and the new profit-sharing ratio among Victor, Raymond, and Kenneth is agreed at 5:3:25:3:2. Kenneth pays 24,000\text{₦}24,000 in cash as premium for goodwill. What amount of the goodwill premium (in Naira) should be credited to Victor's capital account?

Show answer & explanation

Answer: 12000

Answer

The amount of goodwill premium credited to Victor's capital account is ₦12,000.
Goodwill premium paid by a newly admitted partner is credited to existing partners in their sacrificing ratio. Victor's sacrifice is 3/5 - 5/10 = 1/10, and Raymond's sacrifice is 2/5 - 3/10 = 1/10. Since both partners sacrificed equally (1:1 ratio), Victor receives half of the ₦24,000 premium, which equals ₦12,000.

Step-by-Step Solution

1
Calculate the old shares of existing partners with a common denominator
Victor's old share = 3/5 = 6/10; Raymond's old share = 2/5 = 4/10
Aligning denominators makes sacrifice calculation straightforward.
2
Calculate individual partner sacrifice
Victor's sacrifice = 6/10 - 5/10 = 1/10; Raymond's sacrifice = 4/10 - 3/10 = 1/10
Sacrifice is the difference between old profit share and new profit share.
3
Determine sacrificing ratio
Sacrificing ratio = 1 : 1
Goodwill brought in by an incoming partner compensates existing partners in proportion to their sacrifice.
4
Compute Victor's share of goodwill premium
Victor's share = 1/2 × ₦24,000 = ₦12,000
Victor is entitled to half of the premium paid based on the 1:1 sacrificing ratio.

Key Concept

Allocation of Goodwill Premium upon Admission of a Partner
Question 12Question

Ade and Ngozi are partners in an engineering firm sharing profits and losses in the ratio of 3:23:2. Their capital account balances prior to the admission of a new partner, Emeka, are 120,000\text{₦}120,000 and 80,000\text{₦}80,000 respectively. Upon Emeka's admission, the partnership assets are revalued, yielding a net revaluation profit of 30,000\text{₦}30,000. What is the adjusted capital balance of Ade in Naira after crediting his share of the revaluation profit?

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Answer: 138000

Answer

Ade's adjusted capital balance after crediting the revaluation profit is 138,000 Naira.
When a new partner is admitted, any gain resulting from the revaluation of existing assets and liabilities belongs strictly to the existing partners and must be shared in their old profit and loss sharing ratio (3:23:2). Ade's fraction of the profit is 35×30,000=18,000\frac{3}{5} \times \text{₦}30,000 = \text{₦}18,000. Adding this profit to Ade's initial capital balance of 120,000\text{₦}120,000 yields an adjusted balance of 138,000\text{₦}138,000.

Step-by-Step Solution

1
Calculate the total parts in the old profit-sharing ratio
3 + 2 = 5 parts
Revaluation gains and losses occurring prior to the admission of a new partner belong entirely to existing partners in their old profit-sharing ratio.
2
Calculate Ade's share of the net revaluation profit
(3 / 5) * 30,000 = 18,000 Naira
Ade receives 3 out of the 5 total ratio parts of the 30,000 Naira revaluation profit.
3
Calculate Ade's new capital account balance
120,000 + 18,000 = 138,000 Naira
A revaluation profit increases the existing partner's capital balance and is credited to their capital account.

Key Concept

Allocation of Revaluation Gain on Admission of a Partner
Question 13Question

Halima and Segun are partners in a retail enterprise sharing profits and losses in the ratio of 3:23:2. They admit Tunde into the partnership with a 15\frac{1}{5} share of future profits. Tunde pays 50,000\text{₦}50,000 as capital contribution and 20,000\text{₦}20,000 as premium for goodwill. What amount of the goodwill premium should be credited to Segun's capital account?

Show answer & explanation

Answer: 8,000\text{₦}8,000

Answer

The amount of goodwill premium to be credited to Segun's capital account is 8,000\text{₦}8,000.
When a new partner pays a premium for goodwill upon admission, the premium is shared among the old partners in their sacrificing ratio. Because no separate sacrificing agreement is given, the existing profit-sharing ratio (3:23:2) serves as the sacrificing ratio. Segun's proportion is 25\frac{2}{5}, which equates to 25×20,000=8,000\frac{2}{5} \times \text{₦}20,000 = \text{₦}8,000.

Step-by-Step Solution

1
Determine the sacrificing ratio of the existing partners.
Since no specific new ratio or sacrifice proportion is stated, Halima and Segun sacrifice in their existing profit-sharing ratio of 3:23:2.
When a new partner is admitted without specifying a change in the relative ratio between existing partners, they sacrifice in their old profit-sharing ratio.
2
Calculate Segun's share of the goodwill premium.
Segun'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.
Goodwill premium brought in by an incoming partner is credited to existing partners' capital accounts in their sacrificing ratio.

Key Concept

Accounting treatment of goodwill premium brought by an incoming partner upon admission
Admission of a New Partner Practice Questions — JAMB UTME | Examkin