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Frank, George and Hemant were partners in a firm sharing profits in the ratio of 5 : 3 : 2. They decided to change their profit sharing ratio to 2 : 5 : 3 with effect from 1st April, 2023. Their Balance Sheet as at 31st March, 2023 was as follows :

Balance Sheet of Frank, George and Hemant as at 31st March, 2023

LiabilitiesAmount (₹)AssetsAmount (₹)
Capitals : Frank 4,00,000; George 3,00,000; Hemant 2,00,0009,00,000Land5,00,000
Creditors5,00,000Building3,00,000
Employees' Provident Fund1,00,000Machinery2,00,000
General Reserve2,00,000Stock1,50,000
Debtors2,50,000
Cash3,00,000
Total17,00,000Total17,00,000

It was decided that : (i) The value of land having appreciated be brought up to ₹6,50,000. (ii) Goodwill of the firm was valued at ₹2,00,000. Goodwill was not to appear in the books of the firm. Pass the necessary journal entries in the books of the firm.

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Revaluation gain of ₹1,50,000 (land appreciation) distributed in old ratio 5:3:2; General Reserve of ₹2,00,000 distributed in old ratio; Goodwill adjustment of ₹2,00,000 settled through partners' capital accounts in gaining/sacrificing ratio without opening Goodwill account.


Concept and Treatment

When partners change their profit-sharing ratio, three adjustments must be made to ensure no partner is unfairly enriched or deprived:

1. Revaluation of Assets and Liabilities

Any appreciation or depreciation in asset values is a gain or loss that accrued during the old partnership period. We prepare a Revaluation Account (a nominal account): debit it for losses/depreciation, credit it for gains/appreciation. The net profit or loss is then transferred to the partners' capital accounts in the old ratio (5:3:2 here), because they earned or bore it under the old arrangement.

2. Distribution of Accumulated Reserves

General Reserve, Profit & Loss Account balance, and similar reserves represent undistributed profits earned in the old ratio. On reconstitution, these must be distributed to the partners in the old ratio by debiting the reserve account and crediting each partner's capital. This clears the balance sheet of reserves that belong to the old partnership.

3. Adjustment for Goodwill

Goodwill represents the firm's earning capacity. When the ratio changes, some partners sacrifice share (their new share < old share) while others gain share (new > old). The gaining partners must compensate the sacrificing partners for the goodwill they are effectively acquiring.

  • Sacrificing (or Gaining) Ratio = New Share − Old Share
  • If the result is negative, the partner sacrifices; if positive, the partner gains.

The question states goodwill is valued at ₹2,00,000 but must not appear in the books. So we do not open a Goodwill account. Instead, we directly adjust the partners' capitals: debit the gaining partners' capital accounts (they pay for the goodwill they gain) and credit the sacrificing partners' capital accounts (they receive compensation) in the gaining/sacrificing ratio, each partner's adjustment being their gain/sacrifice fraction multiplied by the total goodwill.


Solution

Working Notes

WN 1: Old and New Profit-Sharing Ratios

PartnerOld RatioNew Ratio
Frank5/102/10
George3/105/10
Hemant2/103/10

WN 2: Sacrificing / Gaining Ratio

PartnerNew Share − Old ShareSacrifice (−) / Gain (+)
Frank2/10 − 5/10 = −3/10Sacrifice 3/10
George5/10 − 3/10 = +2/10Gain 2/10
Hemant3/10 − 2/10 = +1/10Gain 1/10

Frank sacrifices 3 parts; George gains 2 parts; Hemant gains 1 part.

Gaining ratio = George : Hemant = 2 : 1.

WN 3: Revaluation Gain (Land Appreciation)

Land book value = ₹5,00,000

Land revalued to = ₹6,50,000

Appreciation (gain) = ₹6,50,000 − ₹5,00,000 = ₹1,50,000

Distribution in old ratio 5:3:2:

  • Frank: 510×1,50,000=₹75,000\frac{5}{10} \times 1,50,000 = ₹75,000
  • George: 310×1,50,000=₹45,000\frac{3}{10} \times 1,50,000 = ₹45,000
  • Hemant: 210×1,50,000=₹30,000\frac{2}{10} \times 1,50,000 = ₹30,000

WN 4: Distribution of General Reserve

General Reserve = ₹2,00,000

Distribution in old ratio 5:3:2:

  • Frank: 510×2,00,000=₹1,00,000\frac{5}{10} \times 2,00,000 = ₹1,00,000
  • George: 310×2,00,000=₹60,000\frac{3}{10} \times 2,00,000 = ₹60,000
  • Hemant: 210×2,00,000=₹40,000\frac{2}{10} \times 2,00,000 = ₹40,000

WN 5: Goodwill Adjustment

Goodwill = ₹2,00,000

Gaining partners compensate sacrificing partner in the gaining ratio 2:1.

Frank (sacrificing partner) receives compensation for 3/10 share:

310×2,00,000=₹60,000\frac{3}{10} \times 2,00,000 = ₹60,000

George (gaining 2/10) pays: 210×2,00,000=₹40,000\frac{2}{10} \times 2,00,000 = ₹40,000

Hemant (gaining 1/10) pays: 110×2,00,000=₹20,000\frac{1}{10} \times 2,00,000 = ₹20,000

(Check: ₹40,000 + ₹20,000 = ₹60,000 ✓)


Journal Entries

DateParticularsL.F.Debit (₹)Credit (₹)
2023 Apr 1Land A/c1,50,000
To Revaluation A/c1,50,000
(Being appreciation in value of land recorded)
Revaluation A/c1,50,000
To Frank's Capital A/c75,000
To George's Capital A/c45,000
To Hemant's Capital A/c30,000
(Being revaluation profit distributed in old ratio 5:3:2)
General Reserve A/c2,00,000
To Frank's Capital A/c1,00,000
To George's Capital A/c60,000
To Hemant's Capital A/c40,000
(Being General Reserve distributed in old ratio 5:3:2)
George's Capital A/c40,000
Hemant's Capital A/c20,000
To Frank's Capital A/c60,000
(Being adjustment for goodwill; gaining partners compensate sacrificing partner without recording goodwill in books)

Revaluation Account …

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