Q.Ranjana, Sadhna and Kamana are partners sharing profits in the ratio 4 : 3 : 2. Ranjana retires; Sadhna and Kamana decide to share profits in future in the ratio of 5 : 3. Calculate the gaining ratio.
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Partner Retirement Methods – A First Look
Think of a partnership like a three-legged race. Three friends tie their legs together and run. Now imagine one friend wants to stop running mid-race. The other two can't just untie and keep going — they have to settle accounts with the leaving friend first. How much does the leaving friend get? Who pays? That's what retirement of a partner is about.
What Does "Retirement of a Partner" Mean?
When a partner leaves the firm (by choice, age, or agreement), the remaining partners continue the business. The retiring partner is entitled to their share of the firm's net worth — not just their original capital, but also their share of accumulated profits, reserves, revaluation gains, and goodwill.
The key idea: the retiring partner's claim = what they brought in + what the firm earned on their behalf – what they've already taken out.
Why Does This Matter?
If you just give the retiring partner their capital back, you're shortchanging them. The firm may have grown, built up reserves, or owned assets that appreciated. Conversely, if the firm has losses, the retiring partner must bear their share. Proper accounting ensures fairness — no one gets cheated, and the remaining partners don't overpay.
The Accounting Treatment – Step by Step
The NCERT Class-12 textbook follows a clear sequence. Let's walk through it.
Step 1: Revalue Assets and Reassess Liabilities
The firm's balance sheet may not reflect current values. So we create a Revaluation Account.
Revaluation Account is a nominal account. It captures gains (credit) and losses (debit) from revaluing assets and liabilities.
Journal entry:
- If asset value increases: Debit Asset A/c, Credit Revaluation A/c
- If liability increases: Debit Revaluation A/c, Credit Liability A/c
The profit or loss on revaluation is then transferred to all partners' capital accounts in their old profit-sharing ratio.
Step 2: Adjust for Goodwill
The retiring partner is entitled to their share of the firm's goodwill. The remaining partners compensate them because they'll continue to benefit from the firm's reputation.
Treatment (as per NCERT):
- Calculate the firm's total goodwill (agreed value).
- Retiring partner's share = Total goodwill × Retiring partner's profit share.
- The remaining partners debit their capital accounts in their gaining ratio (new ratio – old ratio) and credit the retiring partner's capital account.
Journal entry:
Remaining Partners' Capital A/c (individually) Dr.
To Retiring Partner's Capital A/c
Step 3: Transfer Reserves and Accumulated Profits
Any General Reserve, Profit & Loss A/c (credit balance), or accumulated profits belong to all partners. The retiring partner's share is transferred to their capital account.
Journal entry:
General Reserve A/c Dr.
Profit & Loss A/c Dr.
To All Partners' Capital A/c (in old ratio)
Step 4: Settle the Retiring Partner's Account
After all adjustments, the retiring partner's capital account shows the final amount due. This is paid either in cash or transferred to a loan account if the firm can't pay immediately.
Journal entry:
Retiring Partner's Capital A/c Dr.
To Bank A/c (or Retiring Partner's Loan A/c)
The Capital Account Format (as per NCERT)
Here's how a retiring partner's capital account looks in the ledger:
| Dr. | Retiring Partner's Capital Account | Cr. |
|---|---|---|
| Particulars | Amount (₹) | Particulars |
| To Revaluation A/c (loss) | xxx | By Balance b/d |
| To Goodwill A/c (if written off) | xxx | By Revaluation A/c (gain) |
| To Retiring Partner's Loan A/c | xxx | By General Reserve A/c |
| To Bank A/c (final payment) | xxx | By Profit & Loss A/c |
| By Goodwill A/c (remaining partners) | ||
| By Interest on Capital (if any) | ||
| Total | xxx | Total |
Because the new ratio is given (not the acquiring ratio), the gaining ratio must be computed as new share − old share for each continuing partner, using a common denominator (LCM of 9 and 8 = 72).
- Sadhna: 5/8 − 3/9 = 45/72 − 24/72 = 21/72 …
When the new ratio is given, gaining share = new − old. Converting to a common denominator of 72, Sadhna gains 21/72 and Kamana 11/72, so the gaining ratio is 21 : 11.
Concept
The gaining ratio needs an actual calculation only when the new profit sharing ratio of the continuing partners is specified. The formula is gaining share = new share − old share, and both shares must be expressed over a common denominator before subtracting.
Solution …
- PSEB Punjab Class 12 (Commerce) 2026Set ANNUAL1 markQ.What is the formula for calculating Gaining Ratio?
›Reveal solutionSolution
Gaining Ratio = New Ratio - Old Ratio.
On the retirement or death of a partner, the continuing partners acquire the share of the outgoing partner. The ratio of this gain is the GAINING RATIO, calculated as New Share - Old Share for each continuing partner. The retiring p …
- PSEB Punjab Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.X, Y and Z are three partners sharing profits in the ratio 10 : 7 : 8. Z retired. X and Y decided to share profits in equal ratio. Gaining ratio will be:(a) 1 : 4(b) 10 : 7(c) 7 : 10(d) 4 : 1
›Reveal solutionSolution
Correct gaining ratio = 5 : 11; none of the given options matches (likely a printing error).
Old ratio X:Y:Z = 10:7:8 (total 25), so X = 10/25, Y = 7/25. After Z retires, X and Y share equally, so new X = 1/2, Y = 1/2.
Gaining ratio = New - Old:
X = 1/2 - 10/25 = 25/50 - 20/50 = 5/50.
Y = 1/2 - 7/25 = 25/50 - 14/50 = 11/50.
Gaining ratio = 5 : 11. …
- PSEB Punjab Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.The ratio in which the remaining partners acquire the retiring partner's share is called ________. (Gaining Ratio/Sacrifice Ratio)(a) Gaining Ratio(b) Sacrifice Ratio
›Reveal solutionSolution
Gaining Ratio.
On retirement, the share of the outgoing partner is taken over by the continuing partners. The ratio in which they acquire this share is called the GAINING RATIO (Gaining ratio = New ratio - Old ratio). (The sacrificing ratio is the …
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.Retirement of a partner results in ________ of the firm. (Reconstitution/Dissolution)(a) Reconstitution(b) Dissolution
›Reveal solutionSolution
Reconstitution.
Retirement of a partner changes the existing agreement (profit-sharing, capital) while the firm continues with the other partners. This is reconstitution. Dissolution means the firm is wound up …
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.X, Y and Z are partners sharing profit in 3 : 2 : 2. If the New Ratio on the retirement of X is 4 : 3, what will be the Gaining Ratio?(a) 2 : 7(b) 1 : 2(c) 2 : 1(d) 1 : 7
›Reveal solutionSolution
(c) 2 : 1.
X, Y, Z share 3 : 2 : 2 (so Y = 2/7, Z = 2/7). X retires; Y and Z now share 4 : 3 (Y = 4/7, Z = 3/7). …
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markQ.At what rate interest is payable on the amount remaining unpaid to the executor of deceased partner?
›Reveal solutionSolution
6% per annum (Section 37, in the absence of agreement).
When a partner dies and the amount due to his executor is not immediately paid, the executor is entitled to interest on the unpaid amount. In the absence of an agreement, Section 37 of the Indian Partnership Act allows interest at 6% per annum (or a share of profit earned on that amount, at the executor's …
- PSEB Punjab Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.Retirement of a partner results in reconstitution of the firm. (True/False)(a) True(b) False
›Reveal solutionSolution
True.
Reconstitution means a change in the existing agreement among partners while the firm continues. Retirement of a partner changes the profit-sharing arrangement and the capital structure, so the old partnership ends and a new one comes into existence …
- PSEB Punjab Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.In the event of death, the combined share of profit of continuing partners will increase. (True/False)(a) True(b) False
›Reveal solutionSolution
True.
When a partner dies, his share of profit is acquired by the continuing partners (in their gaining ratio). As a result, the total/combined share of the contin …
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