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Numerical Questions · Q30
Q.

A and B share profits in the proportions of 3/4 and 1/4. Their Balance Sheet on March 31, 2016 was as follows:

LiabilitiesAmount (₹)AssetsAmount (₹)
Sundry Creditors41,500Cash at Bank26,500
Reserve Fund4,000Bills Receivable3,000
Capital Accounts:Debtors16,000
A30,000Stock20,000
B16,000Fixtures1,000
Land & Building25,000
Total91,500Total91,500

On April 1, 2017, C was admitted into partnership on the following terms:

  1. That C pays ₹10,000 as his capital.
  2. That C pays ₹5,000 for goodwill. Half of this sum is to be withdrawn by A and B.
  3. That stock and fixtures be reduced by 10% and a 5% provision for doubtful debts be created on Sundry Debtors and Bills Receivable.
  4. That the value of land and buildings be appreciated by 20%.
  5. There being a claim against the firm for damages, a liability to the extent of ₹1,000 should be created.
  6. An item of ₹650 included in sundry creditors is not likely to be claimed and hence should be written back. Record the above transactions (journal entries) in the books of the firm assuming that the profit sharing ratio between A and B has not changed. Prepare the new Balance Sheet on the admission of C.
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C is admitted with ₹10,000 capital and ₹5,000 goodwill (half withdrawn by A and B). Revaluation results in a net gain of ₹1,600, credited to A and B in their old ratio (3:1). The new Balance Sheet totals ₹1,05,950.

Concept and Accounting Treatment

When a new partner is admitted, the firm undergoes revaluation of assets and liabilities to reflect their current worth. Any gain or loss on revaluation is transferred to the old partners' capital accounts in their old profit-sharing ratio — because it relates to the period before admission. Here, A and B share profits 3/4 and 1/4, so the ratio is 3:1.

Goodwill brought in by C is an intangible asset. Half of it (₹2,500) is withdrawn by A and B — this means the firm receives ₹5,000 cash for goodwill, but then pays out ₹2,500 to A and B. The net effect is that the firm retains ₹2,500 as additional capital from the goodwill premium.

The key rule: All adjustments for revaluation, goodwill, and capital are first recorded through journal entries, then posted to ledgers, and finally reflected in the new Balance Sheet.


Solution: Journal Entries

DateParticularsL.F.Debit (₹)Credit (₹)
2017 Apr 1Bank A/c Dr.10,000
To C's Capital A/c10,000
(Being capital brought in by C)
2017 Apr 1Bank A/c Dr.5,000
To Goodwill A/c5,000
(Being goodwill brought in by C)
2017 Apr 1Goodwill A/c Dr.5,000
To A's Capital A/c (3/4)3,750
To B's Capital A/c (1/4)1,250
(Being goodwill credited to old partners in old ratio)
2017 Apr 1A's Capital A/c Dr.1,875
B's Capital A/c Dr.625
To Bank A/c2,500
(Being half of goodwill withdrawn by A and B)
2017 Apr 1Revaluation A/c Dr.2,000
To Stock A/c (10% of ₹20,000)2,000
To Fixtures A/c (10% of ₹1,000)100
(Being reduction in stock and fixtures)
2017 Apr 1Revaluation A/c Dr.950
To Provision for Doubtful Debts A/c950
(Being 5% provision on Debtors ₹16,000 + Bills Receivable ₹3,000 = ₹19,000; 5% = ₹950)
2017 Apr 1Land & Building A/c Dr.5,000
To Revaluation A/c (20% of ₹25,000)5,000
(Being appreciation in land and building)
2017 Apr 1Revaluation A/c Dr.1,000
To Claim for Damages A/c1,000
(Being liability created for damages claim)
2017 Apr 1Sundry Creditors A/c Dr.650
To Revaluation A/c650
(Being creditors written back as not likely to be claimed)
2017 Apr 1Revaluation A/c Dr.1,600
To A's Capital A/c (3/4)1,200
To B's Capital A/c (1/4)400
(Being revaluation gain transferred to old partners' capital accounts)
Watch out

A common mistake is to forget that the provision for doubtful debts is created on both Debtors and Bills Receivable — the question says "on Sundry Debtors and Bills Receivable". Also, the revaluation gain is credited to old partners before C's capital is introduced, because C does not share in pre-admission profits or losses.


Working Notes

Working Note 1: Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Stock A/c (10% reduction)2,000By Land & Building A/c (20% appreciation)5,000
To Fixtures A/c (10% reduction)100By Sundry Creditors A/c (written back)650
To Provision for Doubtful Debts A/c (5% on ₹19,000)950
To Claim for Damages A/c1,000
To Profit transferred to:
A's Capital A/c (3/4)1,200
B's Capital A/c (1/4)400
Total5,650Total5,650

Calculation of Provision for Doubtful Debts:

  • Debtors: ₹16,000
  • Bills Receivable: ₹3,000
  • Total: ₹19,000
  • 5% provision: ₹19,000 × 5% = ₹950

Calculation of Revaluation Gain:

  • Total credits (gains): ₹5,000 + ₹650 = ₹5,650
  • Total debits (losses): ₹2,000 + ₹100 + ₹950 + ₹1,000 = ₹4,050
  • Net gain: ₹5,650 - ₹4,050 = ₹1,600

Working Note 2: Partners' Capital Accounts

ParticularsA (₹)B (₹)C (₹)ParticularsA (₹)B (₹)C (₹)
To Bank A/c (withdrawal of goodwill)1,875625—By Balance b/d30,00016,000—
To Balance c/d33,07517,02510,000By Goodwill A/c3,7501,250—
By Revaluation A/c (gain)1,200400—
By Bank A/c——10,000
Total34,95017,65010,000Total34,95017,65010,000

A's Capital:

  • Opening: ₹30,000 …

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