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Change in Profit-Sharing Ratio among Existing Partners — Notes

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1. Meaning and effects of a change in ratio

Existing partners may agree a new profit-sharing ratio without anyone joining or leaving, for example when a partner takes on more work, gives less time, or contributes more capital or skill. The change is a reconstitution of the firm.

It sets off four adjustments:

  1. Some partners sacrifice and others gain.
  2. Gainers compensate sacrificers for goodwill.
  3. Assets and liabilities are revalued, and the gain or loss is shared in the old ratio.
  4. Reserves and accumulated profits or losses are distributed in the old ratio (or one adjustment entry is passed).
What a change in ratio sets off

Key terms

Reconstitution

A change in the agreement among partners, such as a new profit-sharing ratio.

Profit-sharing ratio

The ratio in which partners share profits and losses.

2. Sacrificing and gaining ratios

  • Sacrifice of a partner = old share − new share (when positive).
  • Gain of a partner = new share − old share (when positive).
  • Sacrificing ratio: ratio of the sacrifices; gaining ratio: ratio of the gains.
  • A partner with old share = new share is unaffected.
  • Check: total sacrifice = total gain.

Special cases

  • A fraction of the firm's profit is given: subtract it from the giver, add it to the taker.
  • A fraction of a partner's own share is given: multiply it by that share first.
  • Equal sharing: each new share = 1 ÷ number of partners.
Total sacrifice always equals total gain.
TermFormulaWhoUsed for
Sacrificing shareOld share − new share (positive)Partners whose share fallsCompensation received for goodwill
Gaining shareNew share − old share (positive)Partners whose share risesCompensation paid for goodwill
No changeOld share = new sharePartner unaffectedLeft out of the goodwill entry
Gaining ratio Naveen : Omkar = 1 : 3
PartnerOldNewOld − new (over 40)Result
Meera1/2 = 20/402/5 = 16/404/40Sacrifices 1/10
Naveen3/8 = 15/402/5 = 16/40−1/40Gains 1/40
Omkar1/8 = 5/401/5 = 8/40−3/40Gains 3/40
Table of special cases: given both ratios, subtract; given a fraction of the firm's profit, move it directly; given a fraction of a partner's own share, multiply first; for equal sharing, each new share is one over the number of partners
What the question givesHow to work
Old and new ratiosOld − new for each partner, over a common denominator
A partner gives a fraction of the firm's profit to anotherSubtract that fraction from the giver, add it to the taker
A partner gives a fraction of his or her own shareFraction × own share = amount given; then adjust both
Partners agree to share equallyNew share of each = 1 ÷ number of partners

Key terms

Sacrificing ratio

The ratio in which partners give up their shares; old ratio − new ratio.

Gaining ratio

The ratio in which partners acquire additional shares; new ratio − old ratio.

3. Goodwill under AS 26

Accounting Standard 26 (Intangible Assets): goodwill is recorded only when purchased for a consideration. Goodwill generated by the firm itself is never recorded, so no goodwill account is raised on a change in ratio.

Adjustment entry:

ParticularsDrCr
Gaining Partners' Capital A/cs Dr.gain × goodwill
To Sacrificing Partners' Capital A/cssacrifice × goodwill
  • Goodwill may first be valued by the average profit, super profit or capitalisation method (Chapter 1).
  • A partner whose share is unchanged does not appear in the entry.
Accounting Standard 26: self-generated goodwill is never recorded
Goodwill ₹1,60,000: Meera 1/10, Naveen 1/40, Omkar 3/40 of it
ParticularsDr (₹)Cr (₹)
Naveen's Capital A/c Dr.4,000
Omkar's Capital A/c Dr.12,000
To Meera's Capital A/c16,000
(Being Naveen and Omkar compensate Meera for goodwill in the gaining ratio 1 : 3)

Key terms

Goodwill

The value of a firm's reputation that enables it to earn more than normal profits.

Adjustment entry

An entry between partners' capital (or current) accounts that compensates sacrificing partners without opening a goodwill account.

4. Existing goodwill and fixed capitals

  • Goodwill already in the balance sheet is written off among all partners in the old ratio: Partners' Capital A/cs Dr. To Goodwill A/c.
  • Then the current value of goodwill is adjusted between gaining and sacrificing partners.
  • If capitals are fixed, every adjustment (goodwill, reserves, revaluation) passes through the partners' current accounts.
Table: goodwill already in the books is written off against all partners in the old ratio; goodwill valued now is adjusted between gaining and sacrificing partners; with fixed capitals the same entries pass through current accounts
SituationEntryRatio
Goodwill already in the balance sheetAll Partners' Capital A/cs Dr. To Goodwill A/cOld ratio
Goodwill valued now (not in books)Gaining Partners' Capital A/cs Dr. To Sacrificing Partners' Capital A/csGain or sacrifice fraction
Capitals fixedSame entries through Current A/csSame
Journal entries of worked example 4: first Tara and Uday write off old goodwill of thirty thousand rupees, eighteen thousand and twelve thousand; then Uday's capital is debited and Tara's credited twenty thousand rupees
ParticularsDr (₹)Cr (₹)
(i) Tara's Capital A/c Dr.18,000
Uday's Capital A/c Dr.12,000
To Goodwill A/c30,000
(Being goodwill of the Mangaluru studio written off by Tara and Uday in 3 : 2)
(ii) Uday's Capital A/c Dr.20,000
To Tara's Capital A/c20,000
(Being Uday's 1/5 gain of goodwill credited to Tara)

Key terms

Fixed capital method

Capital accounts show only the agreed capital; all other items go to current accounts.

5. Revaluation of assets and reassessment of liabilities

Book values may differ from current values, and some assets or liabilities may be unrecorded. These changes arose under the old ratio, so they are settled before the new ratio begins.

  • Revaluation account (a nominal account): gains credited, losses debited.
  • Increase in an asset, decrease in a liability, unrecorded asset: credit.
  • Decrease in an asset, increase in a liability or provision, unrecorded liability: debit.
  • For a provision for doubtful debts, debit only the increase over the existing provision.
  • Balance (profit or loss) to partners' capital accounts in the old ratio.
Table of revaluation rules: increases in assets, decreases in liabilities and unrecorded assets are credited; decreases in assets, increases in liabilities or provisions and unrecorded liabilities are debited; the balance is shared in the old ratio
ChangeRevaluation account
Increase in an assetCredit (gain)
Decrease in an assetDebit (loss)
Increase in a liability (or new provision)Debit (loss)
Decrease in a liabilityCredit (gain)
Unrecorded asset brought inCredit (gain)
Unrecorded liability brought inDebit (loss)
BalanceShared in the old ratio
Gain ₹20,000 shared 3 : 2
Dr. particulars₹Cr. particulars₹
To Machinery15,000By Building40,000
To Provision for doubtful debts3,000
To Outstanding wages2,000
To Lata's Capital A/c (gain)12,000
To Mohan's Capital A/c (gain)8,000
Total40,000Total40,000
Journal entries for worked example 5: building debited and revaluation credited forty thousand; revaluation debited twenty thousand for machinery, provision and outstanding wages; and revaluation debited twenty thousand with Lata credited twelve thousand and Mohan eight thousand
ParticularsDr (₹)Cr (₹)
(i) Building A/c Dr.40,000
To Revaluation A/c40,000
(ii) Revaluation A/c Dr.20,000
To Machinery A/c15,000
To Provision for Doubtful Debts A/c3,000
To Outstanding Wages A/c2,000
(iii) Revaluation A/c Dr.20,000
To Lata's Capital A/c12,000
To Mohan's Capital A/c8,000

Key terms

Revaluation account

A nominal account that records increases and decreases in the values of assets and liabilities on reconstitution.

Unrecorded liability

A liability that exists but is not in the books; bringing it in is a revaluation loss.

6. Reserves and accumulated profits or losses

  • General reserve, contingency reserve, profit and loss credit balance: credited to partners in the old ratio.
  • Profit and loss debit balance: debited to partners in the old ratio.
  • Workmen compensation reserve (WCR): the expected claim is transferred to a provision for workmen compensation claim; any excess goes to partners; if the claim exceeds the reserve, the excess is debited to revaluation.
  • Investment fluctuation reserve (IFR): a fall in investments is met from it first; any balance goes to partners; a fall larger than the reserve is a revaluation loss; a rise in value is a revaluation gain and the whole IFR goes to partners.
Table of treatments: general and contingency reserves and a credit balance of profit and loss are credited to partners in the old ratio; a debit balance of profit and loss is debited in the old ratio; the workmen compensation reserve first meets the claim and the investment fluctuation reserve first meets the fall in investments, with any excess to the partners in the old ratio
Item in the balance sheetTreatment on change in ratio
General reserve, contingency reserveCredited to partners in the old ratio
Profit and loss account (credit balance)Credited to partners in the old ratio
Profit and loss account (debit balance)Debited to partners in the old ratio
Workmen compensation reserveClaim provided first; excess to partners (old ratio)
Investment fluctuation reserveFall in investments met first; excess to partners (old ratio)
WCR = workmen compensation reserve; WC = workmen compensation
CaseEntry
No claimWCR A/c Dr. To Partners' Capital A/cs (old ratio)
Claim less than reserveWCR A/c Dr. To Provision for WC Claim A/c (claim), To Partners' Capital A/cs (excess)
Claim equal to reserveWCR A/c Dr. To Provision for WC Claim A/c
Claim more than reserveWCR A/c Dr. (reserve) + Revaluation A/c Dr. (excess) To Provision for WC Claim A/c
IFR = investment fluctuation reserve
Market value of investmentsTreatment
Equal to book valueWhole IFR to partners (old ratio)
Below book value, fall ≤ IFRIFR A/c Dr. To Investments A/c (fall), To Partners' Capital A/cs (rest)
Below book value, fall > IFRIFR A/c Dr. (all) + Revaluation A/c Dr. (excess fall) To Investments A/c
Above book valueInvestments A/c Dr. To Revaluation A/c (rise); whole IFR to partners
Journal entries of worked example 6: general reserve fifty thousand and profit and loss twenty thousand credited to Lata forty-two thousand and Mohan twenty-eight thousand; workmen reserve fifteen thousand split into a six thousand provision and nine thousand to the partners; investment reserve ten thousand split into four thousand for the fall in investments and six thousand to the partners
ParticularsDr (₹)Cr (₹)
(i) General Reserve A/c Dr.50,000
Profit and Loss A/c Dr.20,000
To Lata's Capital A/c42,000
To Mohan's Capital A/c28,000
(ii) Workmen Compensation Reserve A/c Dr.15,000
To Provision for Workmen Compensation Claim A/c6,000
To Lata's Capital A/c5,400
To Mohan's Capital A/c3,600
(iii) Investment Fluctuation Reserve A/c Dr.10,000
To Investments A/c4,000
To Lata's Capital A/c3,600
To Mohan's Capital A/c2,400

Key terms

Workmen compensation reserve

A reserve kept from profits to meet claims by workers for compensation.

Investment fluctuation reserve

A reserve kept to meet a fall in the market value of investments.

Accumulated loss

A debit balance of the profit and loss account carried in the balance sheet.

7. Single adjustment entry when the books are unchanged

If partners want reserves and book values to stay unchanged:

  1. Add reserves and accumulated profits, subtract accumulated losses, and add the net revaluation result (gain +, loss −).
  2. Multiply the total by each partner's sacrifice or gain.
  3. Pass one entry: Gaining Partners' Capital A/cs Dr. To Sacrificing Partners' Capital A/cs.

Goodwill can be included in the same total. Both methods leave each partner equally well off.

Used when partners do not want to alter the books
Mohan's Capital A/c Dr. 10,500 To Lata's Capital A/c 10,500
Item (Lata and Mohan, imagined)₹
Net revaluation gain20,000
General reserve50,000
Profit and loss (credit)20,000
Workmen compensation reserve less claim9,000
Investment fluctuation reserve less fall6,000
Total1,05,000
× Lata's sacrifice (1/10)10,500
Both methods leave each partner equally well off.
Lata (₹)Mohan (₹)
Method 1: distribute 1,05,000 now in the old ratio 3 : 263,00042,000
Method 2: keep it; later shared in the new ratio 1 : 152,50052,500
Method 2: single adjustment entry+10,500−10,500
Method 2 total63,00042,000

Key terms

Single adjustment entry

One entry for the net effect of goodwill, reserves and revaluation, based on sacrifice and gain, without changing book figures.

Exam tips

Common mistakes

  • Sharing the revaluation result or a reserve in the new ratio instead of the old one.
  • Treating a fraction of a partner's share as a fraction of the firm's profit.
  • Opening a goodwill account at full value: AS 26 does not allow it for self-generated goodwill.
  • Forgetting to write off existing goodwill in the old ratio before adjusting the new value.
  • Debiting the whole new provision for doubtful debts instead of only the increase.
  • Distributing the whole workmen compensation or investment fluctuation reserve when a claim or a fall must be met first.

How marks are usually split

  • 1 mark: one correct option, ratio or amount.
  • 3 marks: working (1), amounts (1), entry or account (1).
  • 4 marks: valuation or revaluation working (1–2), ratio (1), entries (1–2).
  • 6 marks: revaluation account (about 2), goodwill and reserves (about 2), capital accounts or balance sheet (about 2); step marks are given even if one figure slips.

Figures in SOYL practice are imagined; your board paper will give its own.