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Numerical Questions · Q5
Q.

Digvijay, Brijesh and Parakaram were partners in a firm sharing profits in the ratio of 2:2:1. Their Balance Sheet as on March 31, 2020 was as follows

LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors49,000Cash8,000
Reserves18,500Debtors19,000
Digvijay's Capital82,000Stock42,000
Brijesh's Capital60,000Buildings2,07,000
Parakaram's Capital75,500Patents9,000
Total2,85,000Total2,85,000

Brijesh retired on March 31, 2020 on the following terms:

  1. Goodwill of the firm was valued at ₹70,000 and was not to appear in the books.
  2. Bad debts amounting to ₹2,000 were to be written off.
  3. Patents were considered as valueless. Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of Digvijay and Parakaram after Brijesh's retirement.
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Brijesh retires; goodwill is adjusted without appearing in the books, assets are revalued, and the continuing partners' capitals are settled. The final Balance Sheet total is ₹2,74,000, with Digvijay's capital at ₹66,333 and Parakaram's at ₹67,667.

When a partner retires, the firm must revalue its assets and liabilities to reflect their current worth. Any gain or loss from revaluation is shared among all partners in their old profit-sharing ratio. Goodwill, though valued, is not brought into the books — instead, the retiring partner's share of goodwill is compensated by the continuing partners in their gaining ratio. Here, Brijesh retires on March 31, 2020, and the terms require us to write off bad debts, eliminate patents, and adjust goodwill.

The revaluation account captures the changes in asset values. Bad debts of ₹2,000 reduce debtors, and patents being valueless means a loss of ₹9,000. These are losses, so they appear on the debit side of the revaluation account. The total loss on revaluation is ₹11,000, which is shared by Digvijay, Brijesh, and Parakaram in their profit-sharing ratio of 2:2:1.

Goodwill is valued at ₹70,000. Since it is not to appear in the books, we do not open a goodwill account. Instead, the retiring partner's share of goodwill is debited to the continuing partners' capital accounts in their gaining ratio and credited to the retiring partner's capital account. The gaining ratio is the same as the old ratio because the continuing partners share future profits equally (implied by the absence of a new ratio — they continue in the old ratio among themselves, which is 2:1 for Digvijay and Parakaram). Brijesh's share of goodwill is 2/5 of ₹70,000 = ₹28,000. This is borne by Digvijay and Parakaram in their gaining ratio of 2:1, so Digvijay contributes ₹18,667 and Parakaram contributes ₹9,333.

After revaluation and goodwill adjustment, the partners' capital accounts are prepared. Brijesh's capital account is credited with his share of reserves (₹18,500 × 2/5 = ₹7,400), his share of revaluation loss (₹11,000 × 2/5 = ₹4,400), and goodwill (₹28,000). His final balance is transferred to his loan account (or paid, but here it's a balance). The continuing partners' capitals are adjusted accordingly.

Finally, the Balance Sheet of Digvijay and Parakaram is prepared. Assets are updated: cash remains ₹8,000, debtors become ₹17,000 (after writing off ₹2,000), stock ₹42,000, buildings ₹2,07,000, and patents are zero. Liabilities include creditors ₹49,000 and Brijesh's loan (the amount due to him). The total of the new Balance Sheet is ₹2,74,000.

Let's now prepare the required accounts step by step.

Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Bad Debts A/c2,000By Loss on Revaluation transferred to:
To Patents A/c9,000Digvijay's Capital A/c (2/5)4,400
Brijesh's Capital A/c (2/5)4,400
Parakaram's Capital A/c (1/5)2,200
Total11,000Total11,000

Partners' Capital Accounts

ParticularsDigvijay (₹)Brijesh (₹)Parakaram (₹)ParticularsDigvijay (₹)Brijesh (₹)Parakaram (₹)
To Revaluation A/c (Loss)4,4004,4002,200By Balance b/d82,00060,00075,500
To Goodwill A/c (Brijesh's share)18,667—9,333By Reserves A/c7,4007,4003,700
To Brijesh's Loan A/c—91,000—By Goodwill A/c (from continuing partners)—28,000—
To Balance c/d66,333—67,667
Total89,40095,40079,200Total89,40095,40079,200

Balance Sheet of Digvijay and Parakaram as on March 31, 2020 (after Brijesh's retirement)

LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors49,000Cash8,000
Brijesh's Loan91,000Debtors (19,000 - 2,000)17,000
Capital Accounts:Stock42,000
Digvijay66,333Buildings2,07,000
Parakaram67,667Patents0
Total2,74,000Total2,74,000

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