Reconstitution: Change in Profit-Sharing Ratio

Sacrificing and Gaining RatioTreatment of Goodwill and ReservesRevaluation of Assets and Liabilities

Sacrificing and Gaining Ratio

A partnership is reconstituted whenever the existing partners change their mutual rights — the simplest case being a change in the profit-sharing ratio (PSR) among the same partners. When the ratio changes, one or more partners gain a share and others sacrifice a share. Identifying who gains and who sacrifices is the first and most important step.

  • Sacrificing Ratio = Old Share − New Share (when positive, the partner has sacrificed).
  • Gaining Ratio = New Share − Old Share (when positive, the partner has gained).

Worked example. A and B share profits 3:2 and decide to share equally (1:1) in future.

  • A: old 3/5, new 1/2 → 3/5 − 1/2 = 6/10 − 5/10 = 1/10 sacrifice.
  • B: old 2/5, new 1/2 → 1/2 − 2/5 = 5/10 − 4/10 = 1/10 gain.

So A sacrifices 1/10 of the profits to B, who gains 1/10. The partner who gains must compensate the partner who sacrifices — mainly for goodwill, covered next. A handy check: the total sacrifice always equals the total gain. Getting the sacrificing/gaining ratio right is essential, because the goodwill adjustment is shared in exactly this ratio.

1
Worked Example
Example 1: Write the formulas for sacrificing and gaining ratio.
Solution

Old vs new.

  • Sacrificing ratio = Old share − New share.
  • Gaining ratio = New share − Old share.
2
Worked Example
Example 2: X and Y share 3:1 and change to 2:1. Find each partner's sacrifice or gain.
Solution

Compare shares.

  • X: 3/4 − 2/3 = 9/12 − 8/12 = 1/12 sacrifice.
  • Y: 1/3 − 1/4 = 4/12 − 3/12 = 1/12 gain.
3
Worked Example
Example 3: When the ratio changes, who compensates whom?
Solution

Gainer pays sacrificer.

  • The gaining partner compensates the sacrificing partner (mainly for goodwill).

Key Points

    • Reconstitution: any change in partners' mutual rights; here a change in PSR.
    • Sacrificing ratio = Old − New; Gaining ratio = New − Old. Total sacrifice = total gain.
    • The gaining partner compensates the sacrificing partner, mainly for goodwill.
✎ Quick Check — 2 questions0 / 2
Q1.Sacrificing ratio =
Explanation: Sacrificing ratio = Old share − New share.
Q2.On a change in PSR, the gaining partner must:
Explanation: The gainer compensates the sacrificer for goodwill given up.

Treatment of Goodwill and Reserves

When the ratio changes, the goodwill already built up belongs to the old partners in the old ratio. The partner who now gains a share is effectively buying part of that goodwill from the partner who sacrifices. So an adjustment entry is passed, without raising a goodwill account (AS-26 bars self-generated goodwill in the books):

Gaining Partner's Capital A/c  Dr
   To Sacrificing Partner's Capital A/c

The amount = firm's goodwill × the share gained/sacrificed. For example, if goodwill is valued at Rs 60,000 and B gains 1/10 from A, then B's capital is debited and A's capital credited with 60,000 × 1/10 = Rs 6,000.

Next, any accumulated profits, reserves and losses (general reserve, profit & loss balance, workmen compensation reserve, etc.) standing in the balance sheet also belong to the old partners in the old ratio. So they are distributed to the partners' capital accounts in the old ratio before the new ratio takes effect:

  • Reserves and accumulated profits → credited to old partners in the old ratio.
  • Accumulated losses (e.g. a debit P&L balance) → debited to old partners in the old ratio.

The principle behind both adjustments is the same and worth memorising: everything earned or built up before the change belongs to the partners in the OLD ratio. Only future profits will be shared in the new ratio.

1
Worked Example
Example 1: Goodwill is Rs 50,000. B gains 1/5 from A. Pass the goodwill adjustment entry.
Solution

Gainer pays sacrificer.

  • Amount = 50,000 × 1/5 = 10,000.
  • B's Capital A/c Dr 10,000; To A's Capital A/c 10,000.
2
Worked Example
Example 2: A general reserve of Rs 30,000 exists when A and B (old ratio 3:2) change their ratio. How is it distributed?
Solution

Old ratio.

  • It belongs to old partners in the old ratio 3:2.
  • A: 18,000; B: 12,000 (credited to their capitals).
3
Worked Example
Example 3: Why is goodwill not raised in the books on a change in ratio?
Solution

AS-26.

  • AS-26 forbids recording self-generated goodwill.
  • So only an adjustment entry between capitals is passed.

Key Points

    • Goodwill adjustment: Gaining partner's Capital Dr / To Sacrificing partner's Capital (goodwill × share); no goodwill account raised (AS-26).
    • Reserves & accumulated profits/losses are distributed to old partners in the old ratio.
    • Principle: everything built up before the change belongs to the old ratio.
✎ Quick Check — 2 questions0 / 2
Q1.On a change in PSR, accumulated reserves are distributed in the:
Explanation: They belong to old partners in the old ratio.
Q2.The goodwill adjustment entry debits the:
Explanation: The gaining partner's capital is debited; the sacrificer's is credited.

Revaluation of Assets and Liabilities

On reconstitution, the assets and liabilities may not be at their true current values. Any resulting profit or loss belongs to the old partners (it arose under the old arrangement), so we revalue them through a Revaluation Account (also called the Profit & Loss Adjustment Account).

The rules for the Revaluation Account:

  • An increase in an asset or a decrease in a liability is a gain → credited to Revaluation.
  • A decrease in an asset or an increase in a liability is a loss → debited to Revaluation.
  • Any unrecorded asset brought in is a gain (credit); any unrecorded liability is a loss (debit).
Dr — Revaluation Account — Cr 
To decrease in assetsBy increase in assets
To increase in liabilitiesBy decrease in liabilities
To unrecorded liabilitiesBy unrecorded assets
To profit transferred to partners (old ratio)or By loss transferred to partners (old ratio)

The balance of the Revaluation Account is the net revaluation profit or loss, transferred to the partners' capital accounts in the old ratio. For example, if a building rises by Rs 40,000 and a provision for doubtful debts of Rs 5,000 is created and creditors are overstated by Rs 3,000 (a gain), the net effect is a credit balance (gain) shared in the old ratio. With the ratio, goodwill, reserves and revaluation all settled, the partners' capital accounts are brought up to date — and the same toolkit will handle the bigger events of admission, retirement and dissolution.

1
Worked Example
Example 1: A building's value rises by Rs 50,000. How is this treated in the Revaluation Account?
Solution

Asset up = gain.

  • An increase in an asset is a gain → credited to Revaluation.
2
Worked Example
Example 2: A provision for doubtful debts of Rs 4,000 is created. Treatment in Revaluation?
Solution

Reduces an asset = loss.

  • Creating the provision reduces debtors (a loss) → debited to Revaluation.
3
Worked Example
Example 3: In which ratio is the revaluation profit or loss shared?
Solution

Old ratio.

  • It arose under the old arrangement, so it is shared in the old ratio.

Key Points

    • Revaluation Account: asset increase / liability decrease = gain (credit); asset decrease / liability increase = loss (debit).
    • Unrecorded asset = gain (credit); unrecorded liability = loss (debit).
    • Net revaluation profit/loss → partners' capitals in the old ratio.
✎ Quick Check — 2 questions0 / 2
Q1.An increase in the value of an asset is ____ in the Revaluation Account.
Explanation: An asset increase is a gain — credited to Revaluation.
Q2.Revaluation profit or loss is transferred to capitals in the:
Explanation: It is shared in the old ratio.