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Practical Problems · Q12
Q.

A, B and C are partners sharing profits and losses in the ratio 3:2:1. Their Balance Sheet as on 31st March 2024 was as follows:

Balance Sheet of A, B and C as on 31st March 2024

LiabilitiesAmount (₹)AssetsAmount (₹)
Sundry Creditors40,000Land and Building1,20,000
Bills Payable10,000Machinery90,000
General Reserve24,000Stock60,000
Capital A/cs: A 1,20,000; B 90,000; C 60,0002,70,000Debtors 50,000 less Provision for Doubtful Debts 2,00048,000
Cash at Bank26,000
Total3,44,000Total3,44,000

B retires on 31st March 2024 on the following terms:

(1) Goodwill of the firm is valued at ₹36,000.

(2) Land and Building is to be appreciated by 20%, and Machinery is to be depreciated by 10%.

(3) Stock is to be revalued at ₹54,000.

(4) General Reserve is to be distributed among the partners in their old profit-sharing ratio.

(5) The new profit-sharing ratio between A and C is agreed at 3:2.

(6) B is to be paid ₹20,000 in cash immediately, and the balance is to be transferred to his Loan Account.

Prepare (a) the Revaluation Account, (b) Partners' Capital Accounts, and (c) the Balance Sheet of the new firm.

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Step 1 — New ratio and gaining ratio. New ratio (given) is A:C = 3:2, i.e. A's new share = 3/5, C's new share = 2/5. Old ratio was A:B:C = 3:2:1 (out of 6), i.e. A's old share = 3/6 = 1/2, B's old share = 2/6 = 1/3, C's old share = 1/6.

A's gain = 3/5 − 1/2 = 6/10 − 5/10 = 1/10 = 3/30.

C's gain = 2/5 − 1/6 = 12/30 − 5/30 = 7/30.

Gaining ratio A : C = 3 : 7 (check: 3/30 + 7/30 = 10/30 = 1/3, exactly B's old share, confirming the whole of B's vacated share is accounted for).

Step 2 — Revaluation Account. Land and Building appreciated by 20% of ₹1,20,000 = ₹24,000 (gain). Machinery depreciated by 10% of ₹90,000 = ₹9,000 (loss). Stock revalued from ₹60,000 to ₹54,000, a fall of ₹6,000 (loss).

Dr.Amount (₹)Cr.Amount (₹)
To Machinery A/c (depreciation)9,000By Land and Building A/c (appreciation)24,000
To Stock A/c (decrease)6,000
To Profit transferred to A's Capital A/c (3/6)4,500
To Profit transferred to B's Capital A/c (2/6)3,000
To Profit transferred to C's Capital A/c (1/6)1,500
Total24,000Total24,000

Losses = ₹9,000 + ₹6,000 = ₹15,000. Profit on revaluation = ₹24,000 − ₹15,000 = ₹9,000, shared in the OLD ratio 3:2:1: A ₹4,500, B ₹3,000, C ₹1,500 — B shares in this profit too, since it relates to a period he was still a partner.

Step 3 — Goodwill. B's share of the ₹36,000 goodwill = his old share (1/3) × ₹36,000 = ₹12,000, credited to his Capital Account. This ₹12,000 is debited to A and C in the gaining ratio 3:7 found in Step 1: A's share = ₹12,000 × 3/10 = ₹3,600; C's share = ₹12,000 × 7/10 = ₹8,400. (Check: ₹3,600 + ₹8,400 = ₹12,000.)

Step 4 — General Reserve. Distributed in the OLD ratio 3:2:1: A = ₹24,000 × 3/6 = ₹12,000; B = ₹24,000 × 2/6 = ₹8,000; C = ₹24,000 × 1/6 = ₹4,000.

Step 5 — Partners' Capital Accounts.

ParticularsA (₹)B (₹)C (₹)ParticularsA (₹)B (₹)C (₹)
To B's Capital A/c (goodwill)3,600—8,400By Balance b/d1,20,00090,00060,000
To Bank A/c—20,000—By General Reserve A/c12,0008,0004,000
To B's Loan A/c—93,000—By Revaluation A/c (Profit)4,5003,0001,500
To Balance c/d1,32,900—57,100By A's Capital A/c (goodwill)—3,600—
By C's Capital A/c (goodwill)—8,400—
Total1,36,5001,13,00065,500Total1,36,5001,13,00065,500

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