CUET UG Accountancy Booster Test 1 Profit Sharing & Sacrifice
π Answers are locked once submitted β results and explanations appear at the end.
QUESTION 1 OF 20
The ratio in which the profits of a business carried on by all or any of them acting for all are shared is essentially determined by what?
QUESTION 2 OF 20
Why must the old profit sharing ratio fundamentally change upon the admission of a new partner?
QUESTION 3 OF 20
Assertion (A): A new partner can be admitted only when existing partners unanimously agree.
Reason (R): This is specified under the provisions of the Partnership Act 1932 unless otherwise provided in the partnership deed.
QUESTION 4 OF 20
A and B share profits in 3:1. They admit C for a 1/4 share in the future profits. What will be the new profit sharing ratio?
QUESTION 5 OF 20
Regarding mutual agreement during a partner's admission, consider the following:
I. The share of the new partner is decided mutually.
II. The new partner can demand any share irrespective of agreement.
III. How the new partner acquires the share is decided mutually.
Which statements are correct?
QUESTION 6 OF 20
Match the acquisition scenarios with their calculation outcomes:
| List 1 | List 2 |
|---|---|
| 1. No specific agreement on acquisition | a. Deduct fixed fraction directly from old share |
| 2. Fixed fraction given from old partner | b. Deduct half of incoming share from each old partner |
| 3. New ratio explicitly given | c. Assumed acquired in old profit ratio |
| 4. Equal sacrifice mentioned | d. Calculate sacrifice as Old Share - New Share |
QUESTION 7 OF 20
X and Y share profits 3:2. Z is admitted, getting a 1/5 share. Z acquires 3/20 from X and 1/20 from Y. What is the new profit sharing ratio?
QUESTION 8 OF 20
Arrange the steps to find the new ratio when a partner acquires their share in a specific proportion from old partners:
I. Subtract the sacrificed share from the old partner's share.
II. Determine the specific proportion of the new partner's share each old partner gives.
III. Calculate the new partner's total share.
QUESTION 9 OF 20
When the new partner's share is given as a fraction 'X', and old partners share the remaining in their old ratio, what is the formula for calculating the remaining share?
QUESTION 10 OF 20
A and B share profits equally. C is admitted for a 1/4 share, taking equally from A and B. What is A's exact sacrifice?
QUESTION 11 OF 20
Das and Sinha share in 4:1. Pal is admitted for 1/4 share, acquired wholly from Das. What is Sinha's new share?
QUESTION 12 OF 20
If Ram sacrifices 1/4 "of his share" to a new partner, how do you correctly calculate his actual fractional sacrifice?
QUESTION 13 OF 20
The primary purpose of the new partner bringing in a premium for goodwill is to compensate for what?
QUESTION 14 OF 20
If an Old Share = 3/5 and the New Share = 2/4, what is the correct formula application for calculating the sacrifice?
QUESTION 15 OF 20
Amar's old share was 3/5, and his new share is 2/4. What is his calculated fractional sacrifice?
QUESTION 16 OF 20
Consider the following statements regarding the calculation of sacrifice:
I. Sacrificing ratio is primarily used to distribute the premium for goodwill.
II. If the new ratio is not given, the old ratio is often assumed as the sacrificing ratio.
III. Sacrificing ratio is calculated as New Share minus Old Share.
Which statements are fundamentally true?
QUESTION 17 OF 20
Suresh's old share is 3/7, and his new share is calculated as 3/6. What is his resultant gain or sacrifice?
QUESTION 18 OF 20
Assertion (A): Sometimes an old partner's share actually increases upon the admission of a new partner.
Reason (R): This happens when the old partner's new ratio mathematically exceeds their old ratio, resulting in a gain rather than a sacrifice.
QUESTION 19 OF 20
QUESTION 20 OF 20
Test Complete!
Answer Review
1 The ratio in which the profits of a business carried on by all or any of them acting for all are shared is essentially determined by what?
Profit sharing depends on agreement. Partners mutually decide ratio. Legal basis is partnership agreement.
The profit-sharing ratio is determined by the partnership agreement among partners. Hence, Option B is correct.
- Option A β Companies Act not applicable.
- Option C β New partner alone cannot decide.
- Option D β Creditors have no role.
Used
- Legal Concept Recall
Application:
- οΏ½οΏ½ Identify basis of profit sharing.
Final Logic:
- οΏ½οΏ½ Agreement governs partnership relations.
- "Agreement Decides Ratio"
2 Why must the old profit sharing ratio fundamentally change upon the admission of a new partner?
New partner requires share. Existing partners sacrifice profits. Old ratio must change.
Admission of a new partner reduces the old partners' share to provide a share to the incoming partner. Hence, Option C is correct.
- Option A β Ratio change unrelated to losses.
- Option B β Capital base not necessarily reduced.
- Option D β No retiring partner involved.
Used
- Concept Application
Application:
- οΏ½οΏ½ Connect admission with ratio adjustment.
Final Logic:
- οΏ½οΏ½ Existing profit pool redistributed.
- "New Partner Needs Share"
3 Assertion (A): A new partner can be admitted only when existing partners unanimously agree.
Reason (R): This is specified under the provisions of the Partnership Act 1932 unless otherwise provided in the partnership deed.
Unanimous consent generally required. Partnership Act provides rule. Reason explains assertion.
The Partnership Act 1932 requires unanimous consent for admission unless the deed states otherwise. Hence, Option D is correct.
- Option A β Assertion true.
- Option B β Reason also true.
- Option C β Reason directly explains.
Used
- AssertionβReason Analysis
Application:
- οΏ½οΏ½ Link legal rule with admission.
Final Logic:
- οΏ½οΏ½ Admission requires partner approval.
- "All Partners Must Agree"
4 A and B share profits in 3:1. They admit C for a 1/4 share in the future profits. What will be the new profit sharing ratio?
Remaining share distributed in old ratio. C receives 1/4 share. Old partners share 3/4 proportionately.
Remaining Share: 1 - (1/4) = 3/4 A's Share: (3/4) Γ (3/4) = 9/16 B's Share: (1/4) Γ (3/4) = 3/16 C's Share: 1/4 = 4/16 (3/4) Γ (3/4) = 9/16 Hence, Option A is correct.
- Option B β Assumes equal sacrifice.
- Option C β Incorrect allocation.
- Option D β Ratio total invalid.
Used
- Remaining Share Method
Application:
- οΏ½οΏ½ Multiply remaining share with old ratio.
Final Logic:
- οΏ½οΏ½ New ratio becomes 9:3:4.
- "Remaining Share Γ Old Ratio"
5 Regarding mutual agreement during a partner's admission, consider the following:
I. The share of the new partner is decided mutually.
II. The new partner can demand any share irrespective of agreement.
III. How the new partner acquires the share is decided mutually.
Which statements are correct?
Share decided mutually. Acquisition method also mutual. No unilateral demand allowed.
Statements I and III are correct. Statement II is incorrect because admission requires mutual agreement. Hence, Option B is correct.
- Option A β Statement II false.
- Option C β Statement II incorrect.
- Option D β All statements not true.
Used
- Statement Verification
Application:
- οΏ½οΏ½ Identify valid partnership principles.
Final Logic:
- οΏ½οΏ½ Mutual agreement controls admission.
- "Admission Depends on Agreement"
6 Match the acquisition scenarios with their calculation outcomes:
| List 1 | List 2 |
|---|---|
| 1. No specific agreement on acquisition | a. Deduct fixed fraction directly from old share |
| 2. Fixed fraction given from old partner | b. Deduct half of incoming share from each old partner |
| 3. New ratio explicitly given | c. Assumed acquired in old profit ratio |
| 4. Equal sacrifice mentioned | d. Calculate sacrifice as Old Share - New Share |
Default acquisition uses old ratio. Fixed share deducted directly. Equal sacrifice splits incoming share equally.
Correct matching: No agreement β Old ratio assumed Fixed fraction β Deduct directly New ratio given β Old minus new Equal sacrifice β Half from each Hence, Option C is correct.
- Option A β Pairings incorrect.
- Option B β New ratio mismatch.
- Option D β Equal sacrifice wrongly linked.
Used
- Matching Logic
Application:
- οΏ½οΏ½ Connect acquisition methods properly.
Final Logic:
- οΏ½οΏ½ Only Option C fully correct.
- "No Agreement β Old Ratio"
7 X and Y share profits 3:2. Z is admitted, getting a 1/5 share. Z acquires 3/20 from X and 1/20 from Y. What is the new profit sharing ratio?
Old shares adjusted individually. Sacrifice deducted separately. New ratio calculated.
X's New Share: (3/5) - (3/20) = 9/20 Y's New Share: (2/5) - (1/20) = 7/20 Z's Share: 1/5 = 4/20 New Ratio: 9 : 7 : 4 (3/5) - (3/20) = 9/20 Hence, Option D is correct.
- Option A β Reversed shares.
- Option B β Incorrect adjustments.
- Option C β Assumes equal shares.
Used
- Share Deduction Method
Application:
- οΏ½οΏ½ Subtract sacrificed fractions individually.
Final Logic:
- οΏ½οΏ½ Ratio becomes 9:7:4.
- "Old Share Minus Sacrifice"
8 Arrange the steps to find the new ratio when a partner acquires their share in a specific proportion from old partners:
I. Subtract the sacrificed share from the old partner's share.
II. Determine the specific proportion of the new partner's share each old partner gives.
III. Calculate the new partner's total share.
Determine sacrifice first. Deduct from old shares. Then finalize new share.
Correct order: Determine sacrifice proportion Subtract from old shares Calculate new share Hence, Option A is correct.
- Option B β Deduction before calculation incorrect.
- Option C β New share not first.
- Option D β Final calculation misplaced.
Used
- Sequential Logic
Application:
- οΏ½οΏ½ Arrange ratio calculation process.
Final Logic:
- οΏ½οΏ½ Sacrifice must be identified first.
- "Find Sacrifice β Deduct β Finalize"
9 When the new partner's share is given as a fraction 'X', and old partners share the remaining in their old ratio, what is the formula for calculating the remaining share?
Total share equals one. New partner gets X. Remaining share equals 1 β X.
Remaining share available to old partners: 1 - X Hence, Option B is correct.
- Option A β Reverse subtraction.
- Option C β Total exceeds one.
- Option D β No relevance.
Used
- Formula Recall
Application:
- οΏ½οΏ½ Compute remaining share.
Final Logic:
- οΏ½οΏ½ Total profit always equals one.
- "Total 1 Minus New Share"
10 A and B share profits equally. C is admitted for a 1/4 share, taking equally from A and B. What is A's exact sacrifice?
C receives 1/4 share. Sacrifice equally shared. Each sacrifices half of 1/4.
A's Sacrifice: (1/4) Γ (1/2) = 1/8 (1/4) Γ (1/2) = 1/8 Hence, Option C is correct.
- Option A β Entire incoming share.
- Option B β Incorrect division.
- Option D β Excessive sacrifice.
Used
- Equal Sacrifice Method
Application:
- οΏ½οΏ½ Divide incoming share equally.
Final Logic:
- οΏ½οΏ½ Each sacrifices 1/8.
- "Equal Sacrifice Means Equal Division"
11 Das and Sinha share in 4:1. Pal is admitted for 1/4 share, acquired wholly from Das. What is Sinha's new share?
Pal's share taken fully from Das. Sinha sacrifices nothing. Sinha's share unchanged.
Sinha's old share: 1/5 = 0.2 Since Pal acquires share wholly from Das, Sinha's share remains unchanged. Hence, Option D is correct.
- Option A β Das's old share.
- Option B β Pal's share.
- Option C β Das's adjusted share.
Used
- Direct Share Analysis
Application:
- οΏ½οΏ½ Identify unaffected partner.
Final Logic:
- οΏ½οΏ½ Sinha retains original share.
- "No Sacrifice, No Change"
12 If Ram sacrifices 1/4 "of his share" to a new partner, how do you correctly calculate his actual fractional sacrifice?
Fraction applies to existing share. Multiplication required. Sacrifice proportion calculated.
Fractional sacrifice means a proportion of the old share: Sacrifice = (1/4) Γ Old Share Hence, Option A is correct.
- Option B β Addition incorrect.
- Option C β Division unnecessary.
- Option D β Direct subtraction invalid.
Used
- Formula Application
Application:
- οΏ½οΏ½ Apply fractional sacrifice rule.
Final Logic:
- οΏ½οΏ½ "Of" means multiplication.
- "'Of' Means Multiply"
13 The primary purpose of the new partner bringing in a premium for goodwill is to compensate for what?
Old partners sacrifice profits. Compensation provided through goodwill. Super profits specifically affected.
Premium for goodwill compensates sacrificing partners for losing future super profits. Hence, Option B is correct.
- Option A β Liabilities unrelated.
- Option C β Depreciation irrelevant.
- Option D β Reserves not purpose.
Used
- Conceptual Understanding
Application:
- οΏ½οΏ½ Identify purpose of goodwill premium.
Final Logic:
- οΏ½οΏ½ Compensation protects old partners.
- "Goodwill Rewards Sacrifice"
14 If an Old Share = 3/5 and the New Share = 2/4, what is the correct formula application for calculating the sacrifice?
Sacrifice equals old minus new. Compare partner shares. Reduction gives sacrifice.
Formula: Sacrifice = Old Share - New Share Thus: (3/5) - (2/4) = 1/10 Hence, Option C is correct.
- Option A β Reverse formula.
- Option B β Multiplication incorrect.
- Option D β Division irrelevant.
Used
- Formula Recall
Application:
- οΏ½οΏ½ Apply sacrifice formula.
Final Logic:
- οΏ½οΏ½ Old share reduced to new share.
- "Old Minus New"
15 Amar's old share was 3/5, and his new share is 2/4. What is his calculated fractional sacrifice?
Convert fractions to common denominator. Subtract new from old. Difference equals sacrifice.
3/5 = 12/20 2/4 = 10/20 Sacrifice: (12/20) - (10/20) = 2/20 (12/20) - (10/20) = 2/20 Hence, Option D is correct.
- Option A β Incorrect subtraction.
- Option B β Wrong denominator logic.
- Option C β Miscalculation.
Used
- Fraction Conversion Method
Application:
- οΏ½οΏ½ Convert and subtract accurately.
Final Logic:
- οΏ½οΏ½ Sacrifice equals (2/20).
- "Convert First, Then Subtract"
16 Consider the following statements regarding the calculation of sacrifice:
I. Sacrificing ratio is primarily used to distribute the premium for goodwill.
II. If the new ratio is not given, the old ratio is often assumed as the sacrificing ratio.
III. Sacrificing ratio is calculated as New Share minus Old Share.
Which statements are fundamentally true?
Goodwill distributed in sacrificing ratio. Old ratio assumed if new ratio absent. Formula in III reversed.
Statements I and II are correct. Statement III is incorrect because: Sacrifice = Old Share - New Share Hence, Option A is correct.
- Option B β Statement III false.
- Option C β Statement II also true.
- Option D β III incorrect.
Used
- Statement Verification
Application:
- οΏ½οΏ½ Evaluate sacrifice principles.
Final Logic:
- οΏ½οΏ½ Sacrifice means reduction in share.
- "Sacrifice = Old Minus New"
17 Suresh's old share is 3/7, and his new share is calculated as 3/6. What is his resultant gain or sacrifice?
New share exceeds old share. Increase represents gain. Difference calculated fractionally.
(3/6) - (3/7) (21 - 18) / 42 3/42 Since new share is higher, it is a gain. (3/6) - (3/7) = 3/42 Hence, Option B is correct.
- Option A β It is gain, not sacrifice.
- Option C β Incorrect value.
- Option D β Wrong calculation.
Used
- Share Comparison
Application:
- οΏ½οΏ½ Compare old and new shares.
Final Logic:
- οΏ½οΏ½ Increase indicates gain.
- "Higher New Share = Gain"
18 Assertion (A): Sometimes an old partner's share actually increases upon the admission of a new partner.
Reason (R): This happens when the old partner's new ratio mathematically exceeds their old ratio, resulting in a gain rather than a sacrifice.
Some partners may gain share. New share can exceed old share. Reason correctly explains gain.
An old partner gains when the new share becomes greater than the old share. Hence, both Assertion and Reason are true.
- Option A β Assertion true.
- Option B β Reason directly explains.
- Option D β Reason true.
Used
- AssertionβReason Analysis
Application:
- οΏ½οΏ½ Compare old and new ratios.
Final Logic:
- οΏ½οΏ½ Gain occurs if new share increases.
- "New Share Bigger = Gain"
19
Agreement changes only. Business continuity maintained. Firm still operates.
The passage clearly states that the firm continues even after reconstitution. Hence, Option D is correct.
- Option A β Liquidation unnecessary.
- Option B β Operations continue.
- Option C β Merger not mentioned.
Used
- Passage Interpretation
Application:
- οΏ½οΏ½ Identify effect of reconstitution.
Final Logic:
- οΏ½οΏ½ Reconstitution does not end firm.
- "Agreement Changes, Firm Continues"
20
Reconstitution linked to partner changes. Tax liabilities unrelated. Passage lists partner-related events.
The passage mentions admission, retirement, and change in ratio, but not tax liabilities. Hence, Option A is correct.
- Option B β Explicitly mentioned.
- Option C β Explicitly mentioned.
- Option D β Explicitly mentioned.
Used
- Passage-Based Elimination
Application:
- οΏ½οΏ½ Identify option absent from passage.
Final Logic:
- οΏ½οΏ½ Tax liability not a reconstitution reason.
- "Partner Changes Cause Reconstitution"
