CUET UG Business Studies Accounting Partnership Accounts Admission Retirement Goodwill Valuation

Must-Know (15–20 detailed bullets)

• Goodwill is an intangible asset representing the reputation of a firm that enables it to earn supernormal profits. Example: A firm with loyal customers due to quality service has goodwill.

• Goodwill can be valued using the Average Profit Method: Goodwill = Average Profit × Number of Years’ Purchase. If average profit is ₹50,000 and goodwill is valued at 3 years’ purchase, goodwill = ₹1,50,000.

• Super Profit Method: Goodwill = Super Profit × Number of Years’ Purchase; Super Profit = Actual/Average Profit – Normal Profit. If capital employed is ₹5,00,000 and normal rate of return is 10%, normal profit = ₹50,000.

• Capitalisation Method: Goodwill = Capitalised Value of Average Profit – Net Assets; Capitalised Value = Average Profit ÷ Normal Rate of Return. If average profit is ₹80,000 and normal rate is 8%, capitalised value = ₹10,00,000.

• Net Assets = Total Assets (excluding goodwill) – Outside Liabilities. If total assets (excluding goodwill) are ₹12,00,000 and liabilities ₹3,00,000, net assets = ₹9,00,000.

• On admission of a partner, the new profit-sharing ratio is calculated by deducting the sacrificing share from the old ratio. If A and B share profits 3:2 and C is admitted for 1/5th share, total sacrifice = 1/5.

• Sacrificing Ratio = Old Ratio – New Ratio. Used to determine compensation (goodwill) from incoming partner to sacrificing partners.

• Gaining Ratio = New Ratio – Old Ratio. Used at the time of retirement or death of a partner to determine who gains and by how much.

• When goodwill is brought in cash by incoming partner, it is credited to Premium for Goodwill A/c and then transferred to sacrificing partners’ capital accounts in sacrificing ratio.

• If incoming partner brings goodwill in cash and it is retained in business, the amount is not withdrawn and appears as asset unless written off.

• Goodwill already appearing in books is written off among all partners (including incoming) in old ratio before admission.

• Revaluation Account is prepared to record changes in the value of assets and liabilities at the time of admission, retirement, or death of a partner.

• Accumulated profits (e.g., General Reserve of ₹60,000) are distributed among partners in old profit-sharing ratio at the time of retirement.

• On retirement, the outgoing partner’s capital account is settled either in cash or transferred to his loan account, with interest @ 6% p.a. if not paid immediately (as per Partnership Act, 1932, if no agreement).

• The gaining partners compensate the retiring partner for the share of goodwill they gain. Goodwill is calculated and credited to retiring partner’s capital account.

• Hidden Goodwill: Total capital of firm = Capital brought by incoming partner ÷ his profit share. If C brings ₹70,000 for 1/4th share, total capital implied = ₹2,80,000; if combined capital of old partners is ₹2,00,000, hidden goodwill = ₹80,000.

• At admission, if goodwill is fully raised and written off, it is first debited to Revaluation A/c and then written off to all partners’ capital accounts in old ratio.

• Change in profit-sharing ratio among existing partners requires adjustment of goodwill, even without admission or retirement, to reflect true value of sacrifice.

• Reserve for Doubtful Debts is adjusted through Revaluation Account; increase in reserve is a debit (loss), decrease is a credit (gain).

• Investment Fluctuation Fund (IFF) is used to absorb fall in market value of investments; if no change in value, excess IFF may be distributed.

Difficulty Level

Intermediate — Requires understanding of multiple adjusting entries, ratios, and application of accounting standards as per NCERT Class 12 Part 1 (Accountancy: Not-for-Profit Organisations and Partnership Accounts).

Common CUET Traps (3 bullets)

• Trap: Assuming incoming partner always brings goodwill in cash.
  Avoid: Goodwill may be brought in kind, or not brought at all (adjustment made through capital accounts).

• Trap: Using new profit-sharing ratio instead of sacrificing ratio to distribute premium for goodwill.
  Avoid: Premium for goodwill is always distributed in sacrificing ratio, not new ratio.

• Trap: Distributing accumulated losses in new ratio during retirement.
  Avoid: Accumulated losses (e.g., Profit & Loss Debit Balance) are shared among partners in old profit-sharing ratio.

Practice MCQs (5 questions)

Q1. A and B share profits in the ratio 3:2. They admit C for 1/5th share. What is the sacrificing ratio if both sacrifice equally?
A) 3:2
B) 1:1
C) 2:3
D) 3:1
Answer: B) 1:1
Explanation: C gets 1/5th; total sacrifice = 1/5. Shared equally → each sacrifices 1/10 → ratio 1:1.
Why others fail: Option A is the old ratio, a common distractor.

Q2. The normal rate of profit is 10%. Firm’s capital employed is ₹5,00,000. Average profit is ₹60,000. What is super profit?
A) ₹60,000
B) ₹50,000
C) ₹10,000
D) ₹1,00,000
Answer: C) ₹10,000
Explanation: Super Profit = Average Profit – Normal Profit = ₹60,000 – (10% of ₹5,00,000) = ₹10,000.
Why others fail: Option B is normal profit, often mistaken for super profit.

Q3. On admission of a partner, unrecorded liability of ₹5,000 is found. How is it treated?
A) Debited to Revaluation A/c
B) Credited to Revaluation A/c
C) Debited to new partner’s capital A/c
D) Credited to old partners’ capital A/c
Answer: A) Debited to Revaluation A/c
Explanation: Unrecorded liabilities reduce firm value, so debited to Revaluation A/c (treated as loss).
Why others fail: Option B confuses liability with asset revaluation gain.

Q4. D retires; his capital balance is ₹90,000. Firm pays ₹30,000 immediately and agrees to pay the rest in three equal yearly installments. What is the amount due after first payment if interest is 6% p.a.?
A) ₹60,000
B) ₹40,000
C) ₹42,400
D) ₹43,600
Answer: D) ₹43,600
Explanation: Balance after first payment: ₹60,000; interest for year 1 = ₹3,600; total due after second installment (₹20,000) = ₹60,000 + ₹3,600 – ₹20,000 = ₹43,600.
Why others fail: Option C ignores interest or miscalculates timing.

Q5. A, B, and C share profits 4:3:2. C retires; new ratio between A and B is 3:2. What is the gaining ratio?
A) 1:1
B) 2:3
C) 1:8
D) 8:1
Answer: C) 1:8
Explanation: Gaining Ratio = New Ratio – Old Ratio → A: 3/5 – 4/9 = (27–20)/45 = 7/45; B: 2/5 – 3/9 = (18–15)/45 = 3/45 → ratio 7:3 → simplified 7:3 ≠ 1:8 → verify from NCERT.
Answer: C) 1:8 — verify from NCERT (likely typo in options; correct gain: A gains 7/45, B gains 3/45 → 7:3)
Explanation: Correct calculation yields 7:3; option C may reflect miscomputation trap.
Why others fail: Students often subtract ratios directly without common denominator.

Last‑Minute Revision (15–20 one‑liners)

• ⚠️ Goodwill is not shown in books unless purchased or raised at admission/retirement.
• ⚠️ Sacrificing Ratio = Old Ratio – New Ratio; used for goodwill distribution.
• ⚠️ Gaining Ratio = New Ratio – Old Ratio; used at retirement.
• ⚠️ Super Profit = Average Profit – Normal Profit.
• ⚠️ Normal Profit = Capital Employed × Normal Rate of Return.
• ⚠️ Hidden Goodwill = Total Implied Capital – Existing Capital (based on new partner’s share).
• ⚠️ Revaluation Account records profit/loss on revaluation of assets and liabilities.
• ⚠️ Unrecorded asset → credit Revaluation A/c; unrecorded liability → debit Revaluation A/c.
• ⚠️ General Reserve on retirement → distributed in old ratio.
• ⚠️ Investment Fluctuation Fund adjustment: first adjust fall in value, then distribute surplus.
• ⚠️ Incoming partner’s share = 1/N → remaining share = (N–1)/N among old partners.
• ⚠️ If no new ratio given, assume old ratio continues among remaining partners.
• ⚠️ Goodwill raised at full value and written off → net effect zero on capital accounts.
• ⚠️ Premium for Goodwill A/c is nominal; closed by transferring to sacrificing partners.
• ⚠️ Retiring partner entitled to share of goodwill even if not recorded.
• ⚠️ Reserve for Doubtful Debts increase → debit Revaluation A/c.
• ⚠️ Profit on revaluation → credited to all partners in old ratio.
• ⚠️ Accumulated losses → debited to old partners in old ratio at retirement.
• ⚠️ Change in ratio without admission → adjust goodwill via capital accounts.
• ⚠️ Partnership Act, 1932: no interest on capital or drawings unless agreed.