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Numerical Questions · Q10
Q.

Narang, Suri and Bajaj are partners in a firm sharing profits and losses in proportion of 1/2, 1/6 and 1/3 respectively. The Balance Sheet on April 1, 2020 was as follows

LiabilitiesAmount (₹)AssetsAmount (₹)
Bills Payable12,000Freehold Premises40,000
Sundry Creditors18,000Machinery30,000
Reserves12,000Furniture12,000
Capital Accounts:Stock22,000
Narang30,000Sundry Debtors 20,000 − Reserve for Bad Debt 1,00019,000
Suri30,000Cash7,000
Bajaj28,000
Total1,30,000Total1,30,000

Bajaj retires from the business and the partners agree to the following:

  1. Freehold premises and stock are to be appreciated by 20% and 15% respectively.
  2. Machinery and furniture are to be reduced by 10% and 7% respectively.
  3. Bad Debts reserve is to be increased to ₹1,500.
  4. Goodwill is valued at ₹21,000 on Bajaj's retirement.
  5. The continuing partners have decided to adjust their capitals in their new profit sharing ratio after retirement of Bajaj. Surplus/deficit, if any, in their capital accounts will be adjusted through current accounts. Prepare necessary ledger accounts and draw the Balance Sheet of the reconstituted firm.
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Bajaj retires; revaluation gives a profit of ₹6,960; goodwill of ₹21,000 is adjusted; final capitals of Narang and Suri are ₹49,230 and ₹16,410 respectively; Bajaj is paid ₹41,320; the reconstituted Balance Sheet totals ₹1,36,960.

Concept and Accounting Treatment

When a partner retires, the firm must revalue its assets and liabilities to reflect their current worth. Any gain or loss on revaluation is shared among all partners in their old profit-sharing ratio — because the change in value occurred during their joint tenure. Here, Bajaj is retiring, so we first revalue the assets and liabilities as per the agreed terms.

Goodwill is an intangible asset that represents the firm's earning power. On retirement, the retiring partner is entitled to their share of goodwill. The continuing partners (Narang and Suri) will compensate Bajaj for his share in their gaining ratio. Since the question does not specify a new ratio, the continuing partners share future profits in the ratio of their old shares (after removing Bajaj's share). Narang's old share = 1/2, Suri's old share = 1/6. Their new ratio = (1/2) : (1/6) = 3:1. The gaining ratio is the same as the new ratio because both gain in proportion to their old shares.

After revaluation and goodwill adjustment, the partners' capital accounts are prepared. The continuing partners then adjust their capitals to the new profit-sharing ratio. Any surplus or deficit is transferred to their current accounts.

Let's work through each step systematically.

Step 1: Revaluation Account

We compute the changes in asset values and liabilities.

Assets to be appreciated:

  • Freehold Premises: 20% of ₹40,000 = ₹8,000 increase
  • Stock: 15% of ₹22,000 = ₹3,300 increase

Assets to be reduced:

  • Machinery: 10% of ₹30,000 = ₹3,000 decrease
  • Furniture: 7% of ₹12,000 = ₹840 decrease

Bad Debts Reserve: Increase from ₹1,000 to ₹1,500, so an additional ₹500 is to be provided.

Net effect on Revaluation:

  • Total increase: ₹8,000 + ₹3,300 = ₹11,300
  • Total decrease: ₹3,000 + ₹840 + ₹500 = ₹4,340
  • Net profit on revaluation: ₹11,300 - ₹4,340 = ₹6,960

This profit is shared among Narang, Suri, and Bajaj in their old ratio 1/2 : 1/6 : 1/3. Convert to common denominator 6: 3/6 : 1/6 : 2/6. So shares:

  • Narang: 3/6 of ₹6,960 = ₹3,480
  • Suri: 1/6 of ₹6,960 = ₹1,160
  • Bajaj: 2/6 of ₹6,960 = ₹2,320

Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Machinery A/c3,000By Freehold Premises A/c8,000
To Furniture A/c840By Stock A/c3,300
To Reserve for Bad Debts A/c500
To Profit transferred to:
Narang's Capital A/c3,480
Suri's Capital A/c1,160
Bajaj's Capital A/c2,320
Total11,300Total11,300

Step 2: Goodwill Adjustment

Goodwill is valued at ₹21,000. Bajaj's share = 2/6 of ₹21,000 = ₹7,000.

The continuing partners Narang and Suri will compensate Bajaj in their gaining ratio. Their new ratio is 3:1. Gaining ratio = new ratio = 3:1.

  • Narang's gain = 3/4 of ₹7,000 = ₹5,250
  • Suri's gain = 1/4 of ₹7,000 = ₹1,750

Journal entry: Narang's Capital A/c Dr. ₹5,250; Suri's Capital A/c Dr. ₹1,750; To Bajaj's Capital A/c ₹7,000.

Step 3: Partners' Capital Accounts

We now prepare the capital accounts. Opening balances: Narang ₹30,000; Suri ₹30,000; Bajaj ₹28,000. Add: Reserves (shared in old ratio). Reserves of ₹12,000 are distributed: Narang 3/6 = ₹6,000; Suri 1/6 = ₹2,000; Bajaj 2/6 = ₹4,000.

Add revaluation profit and goodwill adjustment.

Capital Accounts

ParticularsNarang (₹)Suri (₹)Bajaj (₹)ParticularsNarang (₹)Suri (₹)Bajaj (₹)
To Bajaj's Capital A/c (Goodwill)5,2501,750—By Balance b/d30,00030,00028,000
To Bajaj's Loan A/c——41,320By Reserves A/c6,0002,0004,000
To Balance c/d49,23016,410—By Revaluation A/c3,4801,1602,320
By Narang's Capital A/c——5,250
By Suri's Capital A/c——1,750
Total54,48018,16041,320Total54,48018,16041,320

Bajaj's capital account shows a credit balance of ₹41,320, which is transferred to his loan account (since he is retiring and will be paid later).

Step 4: Adjustment of Continuing Partners' Capitals

The continuing partners Narang and Suri decide to adjust their capitals in the new profit-sharing ratio of 3:1. The total capital of the new firm is not given, so we take the combined capital of Narang and Suri after all adjustments as the base. …

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