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Numerical Questions · Q35
Q.

Ashish and Dutta were partners in a firm sharing profits in 3:2 ratio. On Jan. 01, 2015 they admitted Vimal for 1/5 share in the profits. The Balance Sheet of Ashish and Dutta as on March 31, 2016 was as follows:

LiabilitiesAmount (₹)AssetsAmount (₹)
Ashish's Capital80,000Land & Building35,000
Dutta's Capital35,000Plant45,000
Creditors15,000Debtors 22,000 – Provision 2,00020,000
Bills Payable10,000Stock35,000
Cash5,000
Total1,40,000Total1,40,000

It was agreed that:

  1. The value of Land and Building be increased by ₹15,000.
  2. The value of plant be increased by ₹10,000.
  3. Goodwill of the firm be valued at ₹20,000.
  4. Vimal to bring in capital to the extent of 1/5th of the total capital of the new firm. Record the necessary journal entries and prepare the Balance Sheet of the firm after Vimal's admission.
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Vimal is admitted for 1/5 share; revaluation increases assets by ₹25,000, credited to Ashish and Dutta in their old ratio 3:2; goodwill of ₹20,000 is adjusted directly through Vimal's capital account (no Goodwill account is opened, since Vimal is not stated to bring cash for goodwill); the new firm's Balance Sheet totals ₹2,05,000.

Concept and Accounting Treatment

When a new partner is admitted, the existing partnership is reconstituted. The key adjustments here are:

  1. Revaluation of Assets – The increase in Land & Building and Plant is a gain that belongs to the old partners (it arose before Vimal joined), so it is transferred to Ashish and Dutta's capital accounts in their old profit-sharing ratio (3:2).

  2. Goodwill Adjustment – The question values the firm's goodwill at ₹20,000 but does not say Vimal brings this in cash. When a new partner does not bring his share of goodwill in cash, the standard treatment is to adjust it directly through the capital accounts, without ever opening a separate Goodwill account: the new partner's capital account is debited with his share of the goodwill, and the old partners' capital accounts are credited in their sacrificing ratio (here, the same as the old ratio 3:2, since Vimal's share comes proportionately from both). This keeps goodwill out of the firm's books entirely, consistent with the question giving no cash entry for it.

  3. Capital Determination – Vimal is to bring capital equal to 1/5th of the total capital of the new firm. Since the combined capital of Ashish and Dutta (after revaluation and the goodwill adjustment) represents the remaining 4/5 share, the total capital of the new firm — and hence Vimal's own capital — can be derived from it. Vimal must additionally bring enough cash to cover his own required capital and the goodwill debit against his capital account, so that his account is left with exactly his required closing balance.


Solution

Journal Entries

DateParticularsL.F.Debit (₹)Credit (₹)
2016 Apr 1Land & Building A/c Dr.15,000
Plant A/c Dr.10,000
To Revaluation A/c25,000
(Being increase in value of assets recorded)
Revaluation A/c Dr.25,000
To Ashish's Capital A/c15,000
To Dutta's Capital A/c10,000
(Being revaluation gain transferred to old partners in 3:2)
Vimal's Capital A/c Dr.4,000
To Ashish's Capital A/c2,400
To Dutta's Capital A/c1,600
(Being Vimal's share of goodwill (1/5 × ₹20,000 = ₹4,000) adjusted through capital accounts in the old/sacrificing ratio 3:2, since no cash is brought for goodwill)
Cash A/c Dr.40,000
To Vimal's Capital A/c40,000
(Being cash brought in by Vimal — his required capital of ₹36,000 plus ₹4,000 to cover the goodwill debit above)
Watch out

A common mistake here is to open a Goodwill account and record a cash entry for the premium, when the question never says Vimal brings cash for goodwill. Whenever a problem values goodwill but is silent on how it is paid, the safe default is to adjust it only through the capital accounts — debit the incoming partner, credit the old partners in the sacrificing ratio — and never let a Goodwill account or an unstated cash flow appear in the books.


Ledger Accounts

Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Ashish's Capital A/c (3/5)15,000By Land & Building A/c15,000
To Dutta's Capital A/c (2/5)10,000By Plant A/c10,000
Total25,000Total25,000

Cash Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Balance b/d5,000By Balance c/d45,000
To Vimal's Capital A/c40,000
Total45,000Total45,000

Ashish's Capital Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Balance c/d97,400By Balance b/d80,000
By Revaluation A/c15,000
By Vimal's Capital A/c (goodwill)2,400
Total97,400Total97,400

Dutta's Capital Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Balance c/d46,600By Balance b/d35,000
By Revaluation A/c10,000
By Vimal's Capital A/c (goodwill)1,600
Total46,600Total46,600

Vimal's Capital Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Ashish's Capital A/c (goodwill)2,400By Cash A/c40,000
To Dutta's Capital A/c (goodwill)1,600
To Balance c/d36,000
Total40,000Total40,000

Balance Sheet of the New Firm (as on April 1, 2016)

LiabilitiesAmount (₹)AssetsAmount (₹)
Capital Accounts:Fixed Assets:
Ashish97,400Land & Building (35,000 + 15,000)50,000

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