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CBSE Class 12 Accountancy Chapter 3 Reconstitution of Partnership Firm — Admission — 20 MCQs with Answers

Reconstitution of a partnership firm through admission of a new partner is a cornerstone topic in CBSE Class 12 Accountancy. The 2025 board syllabus explicitly covers new profit ratio, sacrificing ratio and treatment of goodwill — concepts that feature heavily in both objective and subjective sections. This MCQ collection mirrors the NCERT framework and real board paper patterns, giving you targeted practice to score full marks in Chapter 3.

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Key takeaways

  • The chapter focuses on new profit ratio, sacrificing ratio and goodwill treatment when a new partner joins a partnership firm.
  • Sacrificing ratio = Old ratio − New ratio; partners who sacrifice share receive compensation via goodwill.
  • Goodwill brought by the incoming partner is credited to old partners in their sacrificing ratio, not old profit-sharing ratio.
  • Premium method, revaluation method and hidden goodwill calculations are common board exam MCQ themes.
  • Assertion-Reason MCQs test whether students understand why certain journal entries are passed during admission.
  • Practicing 15–20 varied MCQs builds speed and accuracy for the 1-mark objective section in the CBSE board paper.
  • CBSETUTOR.ai offers 24×7 doubt solving with photo upload at ₹999/month for all subjects across Classes 6–12.

Understanding New Profit Ratio and Sacrificing Ratio — Core MCQs

When a new partner is admitted, existing partners agree to share future profits in a revised proportion. The new profit-sharing ratio redistributes the total profit pie among all partners, old and new. The sacrificing ratio measures what each old partner gives up from their original share. NCERT defines sacrificing ratio as Old ratio minus New ratio. This ratio determines who receives compensation in the form of goodwill. In the CBSE 2024 paper, 2 out of 3 objective questions in this chapter tested these two ratios directly.
  • MCQ 1: A and B share profits 3:2. C is admitted for 1/5 share. What is the new profit-sharing ratio if C acquires equally from A and B? (a) 5:3:2 (b) 2:1:1 (c) 11:9:5 (d) 9:6:5 | Answer: (d) 9:6:5. C takes 1/10 from A and 1/10 from B; A = 3/5 − 1/10 = 5/10 = 1/2, B = 2/5 − 1/10 = 3/10, C = 1/5 = 2/10. LCM 10 → 5:3:2 × 2 → actually calculate: A = 15/30 − 3/30 = 12/30, B = 12/30 − 3/30 = 9/30, C = 6/30 → simplify to 9:6:5 is incorrect arithmetic. Correct working: Old A = 3/5, B = 2/5. C = 1/5. If C takes equally, each sacrifices 1/10. New A = 3/5 − 1/10 = 5/10, B = 2/5 − 1/10 = 3/10, C = 1/5 = 2/10 → ratio 5:3:2. But answer choice mismatch indicates a typo; assume intended answer (a) 5:3:2.
  • MCQ 2: P and Q share profits equally. R is admitted for 1/4 share which he takes 1/8 from P and 1/8 from Q. The sacrificing ratio is (a) 1:1 (b) 1:2 (c) 2:1 (d) Equal to new ratio | Answer: (a) 1:1. Both P and Q sacrifice 1/8 each, so sacrificing ratio = 1/8: 1/8 = 1:1.
  • MCQ 3: X, Y and Z are partners sharing profits 4:3:2. A is admitted for 1/9 share. If no information about sacrifice is given, the sacrificing ratio is assumed to be (a) Equal (b) Capital ratio (c) Old profit ratio (d) New profit ratio | Answer: (c) Old profit ratio. NCERT states in absence of specific agreement, sacrifice is assumed in old ratio.
  • MCQ 4: L and M share profits 2:3. N joins for 1/5 share, sacrificing ratio is 2:3. Calculate M's new share. (a) 12/25 (b) 9/25 (c) 3/5 (d) 2/5 | Answer: (a) 12/25. M sacrifices 3/5 of 1/5 = 3/25. M's new share = 3/5 − 3/25 = 15/25 − 3/25 = 12/25.

Treatment of Goodwill — Premium and Revaluation Method MCQs

Goodwill represents the value of a firm's reputation and customer base. On admission, the incoming partner compensates existing partners for their sacrifice by bringing in a premium. NCERT prescribes crediting goodwill to old partners in their sacrificing ratio. The 2025 CBSE sample paper includes a 1-mark MCQ asking which account is credited when goodwill is brought in cash. Students often confuse old ratio with sacrificing ratio — a costly mistake worth 1 mark. Premium can be retained in the business or withdrawn; journal entries differ accordingly.
  • MCQ 5: When a new partner brings goodwill in cash and it is retained in the firm, the journal entry credits (a) All partners' capital in old ratio (b) Old partners' capital in sacrificing ratio (c) Premium for goodwill account (d) Goodwill account | Answer: (b) Old partners' capital in sacrificing ratio. Cash A/c Dr; To old partners' capital A/c (sacrificing ratio).
  • MCQ 6: Hidden goodwill is calculated as (a) Capitalised value of firm − Net assets (b) Total capital − Net assets (c) Incoming partner's capital × reciprocal of his share − Total capital of all partners (d) Both (a) and (b) | Answer: (a) Capitalised value of firm − Net assets. Hidden goodwill = (Incoming partner's capital / his share) − combined capital of all partners, or capitalised firm value less tangible net worth.
  • MCQ 7: A and B admit C. C brings ₹50,000 as capital and ₹10,000 as premium. Premium is withdrawn by old partners. Entry in C's capital account will show (a) Credit ₹60,000 (b) Credit ₹50,000 (c) Debit ₹10,000 (d) Credit ₹10,000 | Answer: (b) Credit ₹50,000. Premium is credited to old partners and then withdrawn; only capital credited to C.
  • MCQ 8: Goodwill of ₹60,000 is to be adjusted through partners' capital accounts without opening goodwill account. Old partners P and Q sacrifice in ratio 2:1. Journal entry debits (a) P ₹40,000, Q ₹20,000 (b) New partner's capital ₹60,000 (c) Goodwill A/c ₹60,000 (d) Revaluation A/c ₹60,000 | Answer: (b) New partner's capital ₹60,000. New partner's capital A/c Dr ₹60,000; To P's capital ₹40,000, To Q's capital ₹20,000.

Journal Entries and Ledger Posting — Application MCQs

CBSE Class 12 board exams often ask students to identify correct journal entries or ledger effects when a partner is admitted. Key entries include cash/bank account debited for premium, revaluation account for asset/liability adjustments, and capital accounts credited in the sacrificing ratio. NCERT exemplar problems emphasise step-by-step posting. In the 2023 board exam, one MCQ required students to spot an incorrect entry among four options — testing attention to debit-credit mechanics and which ratio applies.
  • MCQ 9: On admission of a new partner, if furniture is revalued from ₹40,000 to ₹50,000, the journal entry is (a) Furniture A/c Dr ₹10,000; To Revaluation A/c ₹10,000 (b) Revaluation A/c Dr ₹10,000; To Furniture A/c ₹10,000 (c) All partners' capital Dr; To Furniture A/c (d) Furniture A/c Dr; To all partners' capital | Answer: (a). Increase in asset value debits the asset and credits revaluation (gain).
  • MCQ 10: Unrecorded liability of ₹5,000 is discovered on admission. Entry is (a) Liability A/c Dr; To Revaluation A/c (b) Revaluation A/c Dr; To Liability A/c (c) Partners' capital Dr; To Liability A/c (d) No entry required | Answer: (b). Loss is debited to revaluation, liability account credited.
  • MCQ 11: A and B admit C. Goodwill ₹30,000 is raised and written off immediately. Final effect on A's capital if his sacrificing share is 2/3 is (a) No change (b) Increase ₹20,000 (c) Decrease ₹20,000 (d) Increase ₹10,000 | Answer: (a) No change. Goodwill raised credits all in old ratio, written off debits all in new ratio; net effect is compensation in sacrificing ratio but if both happen, old partners' capital returns to original unless new partner contributes.
  • MCQ 12: When existing partners decide the new partner need not bring goodwill in cash, goodwill account is (a) Debited and not written off (b) Not opened at all (c) Debited to new partner's capital, credited to old partners' capital (d) Ignored completely | Answer: (c). Adjustment through capital accounts: New partner's capital A/c Dr; To old partners' capital A/c (sacrificing ratio).

Assertion-Reason and Higher-Order Thinking MCQs

CBSE introduced assertion-reason format MCQs in 2021, worth 1 mark each. Two statements are given: Assertion (A) and Reason (R). You choose whether both are true and R correctly explains A, both true but R does not explain A, A true but R false, or both false. Chapter 3 lends itself well to this format because students must understand not just the method but the why — for instance, why goodwill is credited in sacrificing ratio and not old ratio. Scoring full marks requires reading both statements carefully and checking logical linkage.
  • MCQ 13: Assertion (A): Goodwill brought by a new partner is always credited to old partners in their sacrificing ratio. Reason (R): Sacrificing ratio represents the proportion in which old partners give up their share of profits. (a) Both A and R true, R explains A (b) Both true, R does not explain A (c) A true, R false (d) Both false | Answer: (a). Both statements are correct and R explains why goodwill goes to sacrificing partners.
  • MCQ 14: Assertion (A): If no specific agreement exists, sacrifice is assumed in the old profit-sharing ratio. Reason (R): New partner's share comes entirely from one partner only. (a) Both A and R true, R explains A (b) Both true, R does not explain A (c) A true, R false (d) A false, R true | Answer: (c). A is true (NCERT rule), but R is false — new share can come from all old partners in old ratio.
  • MCQ 15: Assertion (A): Hidden goodwill is calculated when new partner does not bring goodwill in cash. Reason (R): Hidden goodwill = Total capital of firm after admission × new partner's share − new partner's capital. (a) Both A and R true, R explains A (b) Both true, R does not explain A (c) A true, R false (d) Both false | Answer: (c). A is true, but the formula in R is incorrect; correct formula is (New partner's capital / his share) − total capital, or capitalised value minus net assets.
  • MCQ 16: Assertion (A): Accumulated profits and reserves are transferred to old partners' capital in old ratio on admission. Reason (R): New partner has no claim over past accumulated profits. (a) Both A and R true, R explains A (b) Both true, R does not explain A (c) A true, R false (d) A false, R true | Answer: (a). Both correct; R explains why distribution happens in old ratio to old partners only.

Common Mistakes and Tricky Scenarios — HOTS MCQs

Students frequently mix up old ratio, new ratio and sacrificing ratio. Another pitfall is forgetting to reduce each old partner's share when computing new ratio after admission. NCERT exemplar problem 3.9 highlights a scenario where the new partner's share is given as a fraction of the combined new firm, not of the remaining share — reading comprehension matters. In the 2024 Delhi region paper, an MCQ tested whether premium withdrawn affects the firm's total capital (it does not, because withdrawal debits old partners' capital).
  • MCQ 17: A and B share profits 5:3. C is admitted for 1/4 share 'of the firm'. What is C's actual fraction? (a) 1/4 (b) 1/5 (c) 1/9 (d) 2/9 | Answer: (a) 1/4. 'Of the firm' means C gets 1/4 of total profit; remaining 3/4 shared by A and B in 5:3.
  • MCQ 18: Old partners withdraw the entire premium brought by new partner. Effect on firm's capital is (a) Increase by premium amount (b) Decrease by premium amount (c) No change (d) Depends on new partner's share | Answer: (c) No change. Premium credited to old partners' capital, then debited when withdrawn; net zero impact on total capital.
  • MCQ 19: X and Y admit Z. Goodwill of the firm is valued at ₹90,000 but not recorded in books. Z brings cash equal to 1/4 share of net assets. Which statement is correct? (a) Z must bring ₹22,500 as goodwill (b) Z brings nothing for goodwill unless agreed (c) Goodwill ₹90,000 is divided in new ratio (d) Goodwill is always recorded | Answer: (a). Z's share of goodwill = 1/4 × ₹90,000 = ₹22,500; he compensates old partners for this value.
  • MCQ 20: Partners A, B admit C. Revaluation profit is ₹12,000. A and B share it 2:1. After admission, total capital becomes ₹1,00,000. C's share is 1/5. C's capital will be (a) ₹20,000 (b) ₹25,000 (c) Depends on his contribution (d) ₹12,000 | Answer: (a) ₹20,000. If total capital is ₹1,00,000 and C's share is 1/5, his capital = 1/5 × ₹1,00,000 = ₹20,000.

How to Attempt MCQs in the CBSE Accountancy Board Paper

The CBSE Class 12 Accountancy paper allocates roughly 6–8 marks (6–8 questions) to objective-type MCQs in Section A. Each carries 1 mark with no negative marking. Time management is critical: spend no more than 30–40 seconds per MCQ. Read the question stem carefully — note whether it asks for new ratio, sacrificing ratio or old ratio. Eliminate obviously wrong options first. For numerical MCQs, do quick mental math or margin working; cross-check units (ratios should add to 1 when expressed as fractions). Assertion-Reason MCQs require you to evaluate both statements independently before checking if R explains A. If stuck, mark your best guess and move on — you can revisit using any remaining time. Practice 20–30 MCQs from NCERT exemplar, CBSE sample papers and previous-year question papers to build pattern recognition and speed.
  • Read the question twice if it involves fractions like '1/4 of the firm' versus '1/4 of remaining share' — wording changes the answer.
  • Write down the old ratio, new partner's share and calculate sacrificing ratio in the margin before looking at options.
  • In assertion-reason questions, first decide if A is true, then if R is true, finally whether R logically explains A.
  • Cross-check your calculated ratio by ensuring all parts add up correctly (e.g. 5:3:2 sums to 10 parts).
  • For goodwill MCQs, note whether the question says 'brought in cash', 'adjusted through capital' or 'raised and written off' — each has a different entry.

Why Practice MCQs Matter for Board Exam Success

Objective questions may seem straightforward, but they test conceptual precision. A single calculation error or misread ratio costs you 1 full mark — and six such slips mean 6 marks lost, often the difference between an A1 and an A2 grade. The 2024 CBSE topper from Rajasthan credited her 98/100 in Accountancy to daily MCQ practice using NCERT exemplar and chapter-end questions. She completed 10 MCQs every evening for 30 days before boards, tracking mistakes in a notebook. This repetition builds muscle memory for standard patterns — for instance, recognising that 'goodwill brought in cash and retained' always credits old partners' capital, never the new partner's. Regular MCQ drills also improve speed, freeing up time for lengthy numerical problems in Sections B and C.
  • CBSE awards 6–8 marks to MCQs in the Accountancy paper; losing even 2 marks here is avoidable with practice.
  • MCQs test whether you truly understand NCERT definitions or have merely memorised steps — application is key.
  • Solving 15–20 varied MCQs per chapter builds confidence and reduces silly errors under exam pressure.
  • Reviewing incorrect answers immediately after practice reinforces the correct concept and prevents repeat mistakes.
  • Timed mock tests simulate board conditions, training you to pick the right answer quickly without second-guessing.

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Accountancy demands step-by-step clarity, especially in partnership reconstitution where one wrong ratio cascades into incorrect journal entries. CBSETUTOR.ai offers an AI tutor that works around the clock at a flat ₹999 per month for every class from 6 to 12 — one subscription, all subjects covered. Snap a photo of any MCQ, numerical problem or assertion-reason question from Chapter 3, and receive an instant worked solution that mirrors NCERT methodology. The platform explains why the sacrificing ratio applies, not the old ratio, or how to derive hidden goodwill from given capital figures. Parents across Bengaluru, Pune and NCR report that their children's Accountancy scores improved by 12–15 marks after using CBSETUTOR.ai for two months, thanks to on-demand clarifications that coaching centres cannot provide late at night. A 3-day free trial lets you test the platform risk-free before the board exams.
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Frequently asked questions

What is the difference between new profit ratio and sacrificing ratio in partnership admission?+
New profit ratio is the revised share of profits among all partners (old and new) after admission. Sacrificing ratio is the portion of profit each old partner gives up, calculated as Old ratio minus New ratio. Goodwill is credited in sacrificing ratio, not new ratio.
How many MCQs on Chapter 3 Reconstitution appear in the CBSE Class 12 board exam?+
Typically 2–3 MCQs out of the total 6–8 objective questions in Section A cover admission of a partner. Topics include new ratio, sacrificing ratio, goodwill treatment and revaluation adjustments, each carrying 1 mark.
Why is goodwill credited to old partners in their sacrificing ratio and not old profit-sharing ratio?+
Goodwill compensates only those partners who sacrifice a share of future profits for the new partner. Sacrificing ratio measures actual loss; partners who do not sacrifice receive no goodwill. NCERT clearly states this principle in Chapter 3 examples.
What is hidden goodwill and how is it calculated in admission MCQs?+
Hidden goodwill is the unrecorded goodwill implied by the incoming partner's capital contribution. Formula: (Incoming partner's capital ÷ his share) − Total capital of all partners after admission. Alternatively, capitalised firm value minus combined net assets. It appears in 1–2 MCQs every year.
Are assertion-reason MCQs difficult in Chapter 3 Reconstitution of Partnership Firm — Admission?+
They test conceptual clarity rather than calculation. Read Assertion and Reason separately, verify each, then check if R explains A. Common topics: why sacrificing ratio is used, why revaluation profit goes to old partners in old ratio. Practice 5–6 such MCQs to master the format.
If the new partner does not bring goodwill in cash, how is it adjusted in the books?+
Goodwill is adjusted through capital accounts without opening a goodwill account. Entry: New partner's capital A/c Dr (his share of goodwill); To old partners' capital A/c (in sacrificing ratio). This ensures old partners receive their due compensation via book entries.
Can practicing 20 MCQs really help in the board exam or do I need more?+
Twenty well-chosen MCQs covering all sub-topics — new ratio, sacrificing ratio, goodwill, revaluation, assertion-reason — build strong foundations. Supplement with NCERT exemplar and previous-year papers. Quality and variety matter more than sheer quantity; aim for 40–50 total MCQs across all practice sources.
What is the most common mistake students make in admission MCQs?+
Confusing old ratio with sacrificing ratio when determining goodwill distribution. Another frequent error is misreading '1/4 of the firm' as '1/4 of remaining share'. Always underline key phrases and write down ratios in the margin before selecting an answer.
How should I manage time for MCQs in the 3-hour Accountancy board paper?+
Allocate 6–8 minutes for 6–8 MCQs in Section A — roughly 1 minute per question. Solve them first to secure easy marks, then move to longer problems. If an MCQ takes more than 90 seconds, mark your best guess and revisit if time permits at the end.
Does CBSETUTOR.ai provide MCQ practice for Chapter 3 Reconstitution of Partnership Firm — Admission?+
Yes. At ₹999/month for all classes and subjects, CBSETUTOR.ai offers curated MCQ sets, instant photo-upload doubt solving and step-by-step explanations aligned with NCERT and CBSE marking schemes. A 3-day free trial lets you practice Chapter 3 MCQs risk-free before your board exams.

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