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Illustrations · Illustration 24
Q.

Given below is the Balance Sheet of A and B, who are carrying on partnership business as on March 31, 2017. A and B share profits in the ratio of 2:1.

Balance Sheet of A and B as at March 31, 2017

LiabilitiesAmount (₹)AssetsAmount (₹)
Bills Payable10,000Cash in Hand10,000
Sundry Creditors58,000Cash at Bank40,000
Outstanding Expenses2,000Sundry Debtors60,000
Capital A1,80,000Stock40,000
Capital B1,50,000Plant and Machinery1,00,000
Building1,50,000
Total4,00,000Total4,00,000

C is admitted as a partner on the date of the balance sheet on the following terms:

  1. C will bring in ₹1,00,000 as his capital and ₹60,000 as his share of goodwill for 1/4 share in profits.
  2. Plant is to be appreciated to ₹1,20,000 and the value of buildings is to be appreciated by 10%.
  3. Stock is found overvalued by ₹4,000.
  4. A provision for doubtful debts is to be created at 5% of debtors.
  5. Creditors were unrecorded to the extend of ₹1,000.

Record revaluation Account, partners' capital accounts, and the Balance Sheet of the constituted firm after admission of the new partner.

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Revaluation yields a ₹27,000 profit (A ₹18,000 : B ₹9,000, old 2:1). C's ₹60,000 goodwill goes to A ₹40,000 : B ₹20,000. Final capitals A ₹2,38,000, B ₹1,79,000, C ₹1,00,000; the reconstituted Balance Sheet totals ₹5,88,000.

Concept

On admission, assets and liabilities are restated to fair value through a Revaluation Account so that the incoming partner neither gains from hidden reserves nor bears past losses. Its net balance — a ₹27,000 profit here — is shared by the old partners in their old ratio (2:1). The ₹60,000 premium C pays for goodwill compensates the sacrificing partners, and because A and B surrender C's 1/4 share in their existing 2:1 proportion, the sacrificing ratio is also 2:1. This is a classic NCERT Class 12 Accountancy revaluation-and-goodwill problem on admission of a partner.

Working Notes

  1. Goodwill: ₹60,000 credited to A and B in 2:1 → A ₹40,000, B ₹20,000.
  2. Revaluation gains: Plant ₹1,20,000 − ₹1,00,000 = ₹20,000; Building 10% of ₹1,50,000 = ₹15,000.
  3. Revaluation losses: Stock overvalued ₹4,000; Provision for doubtful debts 5% of ₹60,000 = ₹3,000; unrecorded Creditors ₹1,000.
  4. Net profit: gains ₹35,000 − losses ₹8,000 = ₹27,000 → A ₹18,000, B ₹9,000.
  5. Cash at Bank: ₹40,000 + ₹1,00,000 capital + ₹60,000 goodwill = ₹2,00,000.

Solution

Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Stock in Hand4,000By Plant and Machinery20,000
To Provision for Doubtful Debts3,000By Buildings15,000
To Creditors (unrecorded)1,000
To Profit transferred — A's Capital18,000
To Profit transferred — B's Capital9,000
Total35,000Total35,000

Partners' Capital Accounts

DateParticularsA (₹)B (₹)C (₹)DateParticularsA (₹)B (₹)C (₹)
2017 Mar 31Balance c/d2,38,0001,79,0001,00,0002017 Mar 31Balance b/d1,80,0001,50,000—
Bank——1,00,000
Goodwill40,00020,000—
Revaluation (Profit)18,0009,000—
Total2,38,0001,79,0001,00,000Total2,38,0001,79,0001,00,000

Balance Sheet of A, B and C as on March 31, 2017 (after C's admission)

LiabilitiesAmount (₹)AssetsAmount (₹)
Bills Payable10,000Cash in Hand10,000

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