CUET UG Accountancy Booster Test 2 Profit Sharing & Sacrifice
π Answers are locked once submitted β results and explanations appear at the end.
QUESTION 1 OF 20
In the context of a partnership, the profit sharing ratio dictates how profits and losses are distributed. What is the core consequence if this ratio changes without any partner leaving or joining?
QUESTION 2 OF 20
Why is calculating the exact new profit sharing ratio and sacrificing ratio critical for the accounting treatment of goodwill?
QUESTION 3 OF 20
Assertion (A): The admission of a partner inherently implies that old partners must sacrifice a portion of their profits.
Reason (R): A newly admitted partner acquires the right to share the future profits of the partnership firm from the existing pool.
QUESTION 4 OF 20
Regarding the complex redistribution of shares on admission:
I. The sum of the new shares of all partners must equal exactly 1.
II. The new partner's share is always deducted equally from all old partners.
III. The remaining share after the new partner's share is divided among old partners in their old ratio, by default.
Which combinations are correct?
QUESTION 5 OF 20
Match the specific cases of share determination with their calculation methodologies:
| List 1 | List 2 |
|---|---|
| 1. Acquired wholly from one partner | a. Only one old partner's share is reduced |
| 2. Acquired equally from two partners | b. Sacrifice = (New Partner's Share) Γ (1/2) |
| 3. Acquired in a specific new ratio | c. Calculate sacrifice as Old Ratio β New Ratio |
| 4. Acquired in old ratio | d. Remaining share Γ Old Share |
QUESTION 6 OF 20
Arrange the steps for finding the new ratio under default assumptions (when only incoming share is given):
I. Deduct the new partner's share from 1 to find the remaining share.
II. Multiply the old partners' share by the remaining share.
III. Determine the new partner's incoming share.
QUESTION 7 OF 20
Rohit and Mohit share in 5:3. Bijoy is admitted for a 1/7 share. The new ratio is 4:2:1. What is Mohit's exact fractional sacrifice?
QUESTION 8 OF 20
Amar and Bahadur share in 3:2. Mary is admitted for 1/4. The new ratio between Amar and Bahadur will be 2:1. What is Amar's new fractional share in the firm?
QUESTION 9 OF 20
Under the old ratio method, if the new partner's share is 1/5, what conceptually happens to the remaining 4/5 of the firm's profits?
QUESTION 10 OF 20
If incoming partner Z takes his 1/4 share equally from X and Y, what is the formula to find the exact fractional amount X surrendered?
QUESTION 11 OF 20
Ram and Shyam share profits 3:2. Ghanshyam is admitted. Ram sacrifices 3/20 and Shyam sacrifices 2/15. What is Ghanshyam's new aggregated share?
QUESTION 12 OF 20
X and Y share profits 3:2. Z is admitted for a 1/5 share. Z acquires 3/20 from X and 1/20 from Y. What is X's sacrifice represented as a fraction?
QUESTION 13 OF 20
Why must the sacrificing ratio be correctly calculated during a partner's admission from an accounting perspective?
QUESTION 14 OF 20
If A's old share was 5/8 and new share is 4/7, the application is 5/8 β 4/7. What is the lowest common denominator used to accurately solve this fraction?
QUESTION 15 OF 20
A and B share profits in 3:1. C is admitted for a 1/4 share. The new ratio is calculated as A 9/16, B 3/16, C 4/16. What is A's calculated sacrifice?
QUESTION 16 OF 20
If A and B share profits in 3:1, and C is admitted for a 1/4 share with no other specific details regarding acquisition, what is the default sacrificing ratio of A and B?
QUESTION 17 OF 20
In a complex scenario where old partners change ratios or admit a new partner:
I. All old partners always make a sacrifice.
II. An old partner may mathematically gain a share.
III. The sum of all fractional sacrifices must equal the sum of all fractional gains.
Which statements are analytically true?
QUESTION 18 OF 20
Assertion (A): A gaining old partner must also logically compensate the sacrificing partner in a reconstitution.
Reason (R): Goodwill is credited to sacrificing partners to directly compensate for their loss of share in the firm's super profits.
QUESTION 19 OF 20
QUESTION 20 OF 20
Test Complete!
Answer Review
1 In the context of a partnership, the profit sharing ratio dictates how profits and losses are distributed. What is the core consequence if this ratio changes without any partner leaving or joining?
Ratio change alters shares. Some partners gain. Others sacrifice profits.
A change in profit sharing ratio creates gaining and sacrificing partners. Hence, Option C is correct.
- Option A β Dissolution unnecessary.
- Option B β Future ratio changes.
- Option D β Capital addition not compulsory.
Used
- Conceptual Understanding
Application:
- οΏ½οΏ½ Analyze effect of ratio change.
Final Logic:
- οΏ½οΏ½ Gain and sacrifice arise automatically.
- "Ratio Change = Gain & Sacrifice"
2 Why is calculating the exact new profit sharing ratio and sacrificing ratio critical for the accounting treatment of goodwill?
Goodwill distributed on sacrifice. Exact ratios required. Compensation depends on sacrifice.
The sacrificing ratio determines how goodwill premium is credited to old partners. Hence, Option D is correct.
- Option A β Valuation method unrelated.
- Option B β NRR separate concept.
- Option C β Loan limit unrelated.
Used
- Accounting Logic
Application:
- οΏ½οΏ½ Connect goodwill with sacrificing ratio.
Final Logic:
- οΏ½οΏ½ Correct ratio ensures fair compensation.
- "Goodwill Follows Sacrifice"
3 Assertion (A): The admission of a partner inherently implies that old partners must sacrifice a portion of their profits.
Reason (R): A newly admitted partner acquires the right to share the future profits of the partnership firm from the existing pool.
New partner gets profit share. Old partners sacrifice part. Reason explains assertion.
The incoming partner's share comes from the old partners' existing profit shares. Hence, Option A is correct.
- Option B β Reason directly explains.
- Option C β Reason true.
- Option D β Both statements true.
Used
- AssertionβReason Analysis
Application:
- οΏ½οΏ½ Connect admission with sacrifice.
Final Logic:
- οΏ½οΏ½ Incoming share reduces old shares.
- "New Share Comes from Old Shares"
4 Regarding the complex redistribution of shares on admission:
I. The sum of the new shares of all partners must equal exactly 1.
II. The new partner's share is always deducted equally from all old partners.
III. The remaining share after the new partner's share is divided among old partners in their old ratio, by default.
Which combinations are correct?
Total shares equal one. Equal deduction not compulsory. Old ratio applies by default.
Statement I and III are true. Statement II is false because sacrifice need not always be equal. Hence, Option B is correct.
- Option A β Statement II false.
- Option C β Statement I true.
- Option D β Statement II incorrect.
Used
- Statement Verification
Application:
- οΏ½οΏ½ Evaluate admission rules carefully.
Final Logic:
- οΏ½οΏ½ Default assumption uses old ratio.
- "Remaining Share Follows Old Ratio"
5 Match the specific cases of share determination with their calculation methodologies:
| List 1 | List 2 |
|---|---|
| 1. Acquired wholly from one partner | a. Only one old partner's share is reduced |
| 2. Acquired equally from two partners | b. Sacrifice = (New Partner's Share) Γ (1/2) |
| 3. Acquired in a specific new ratio | c. Calculate sacrifice as Old Ratio β New Ratio |
| 4. Acquired in old ratio | d. Remaining share Γ Old Share |
One partner alone sacrifices fully. Equal acquisition splits sacrifice equally. Old ratio uses remaining share method.
Correct matching: Whole acquisition β One partner reduced Equal acquisition β Half share sacrifice Specific ratio β Old minus new Old ratio β Remaining share Γ old share Hence, Option C is correct.
- Option A β Wrong linkage.
- Option B β Equal sacrifice mismatched.
- Option D β Multiple mismatches.
Used
- Matching Logic
Application:
- οΏ½οΏ½ Match methods with acquisition type.
Final Logic:
- οΏ½οΏ½ Only Option C fully correct.
- "Specific Ratio β Old Minus New"
6 Arrange the steps for finding the new ratio under default assumptions (when only incoming share is given):
I. Deduct the new partner's share from 1 to find the remaining share.
II. Multiply the old partners' share by the remaining share.
III. Determine the new partner's incoming share.
Incoming share identified first. Remaining share calculated next. Old ratio then adjusted.
Correct order: Determine incoming share Find remaining share Multiply old shares accordingly Hence, Option D is correct.
- Option A β Multiplication too early.
- Option B β Incoming share missing first.
- Option C β Incorrect sequence.
Used
- Sequential Logic
Application:
- οΏ½οΏ½ Arrange ratio determination process.
Final Logic:
- οΏ½οΏ½ Remaining share depends on incoming share.
- "Incoming β Remaining β Multiply"
7 Rohit and Mohit share in 5:3. Bijoy is admitted for a 1/7 share. The new ratio is 4:2:1. What is Mohit's exact fractional sacrifice?
Sacrifice equals old minus new. Mohit's shares compared. Fraction calculated carefully.
Mohit's Old Share: 3/8 New Share: 2/7 Sacrifice: 3/8 β 2/7 = 5/56 Hence, Option A is correct.
- Option B β Rohit's sacrifice.
- Option C β Incorrect subtraction.
- Option D β Miscalculation.
Used
- Sacrifice Formula
Application:
- οΏ½οΏ½ Old Share β New Share.
Final Logic:
- οΏ½οΏ½ Mohit sacrifices 5/56.
- "Old Minus New"
8 Amar and Bahadur share in 3:2. Mary is admitted for 1/4. The new ratio between Amar and Bahadur will be 2:1. What is Amar's new fractional share in the firm?
Remaining share distributed. Amar gets larger proportion. Final fraction simplified.
Remaining Share: [ 1-\frac{1}{4}=\frac{3}{4} ] Amar's Share: [ \frac{3}{4}\times\frac{2}{3}=\frac{6}{12} ] \frac{3}{4}\times\frac{2}{3}=\frac{6}{12} Hence, Option B is correct.
- Option A β Too small.
- Option C β Incorrect multiplication.
- Option D β Wrong ratio application.
Used
- Remaining Share Method
Application:
- οΏ½οΏ½ Apply new ratio on remaining share.
Final Logic:
- οΏ½οΏ½ Amar's share equals 6/12.
- "Remaining Share Γ Ratio Share"
9 Under the old ratio method, if the new partner's share is 1/5, what conceptually happens to the remaining 4/5 of the firm's profits?
Remaining share belongs to old partners. Distributed in old ratio. Default assumption applies.
Under old ratio method, old partners continue sharing remaining profits in old ratio. Hence, Option C is correct.
- Option A β No single partner rule.
- Option B β New partner already gets fixed share.
- Option D β No reserve creation.
Used
- Method Interpretation
Application:
- οΏ½οΏ½ Apply old ratio method.
Final Logic:
- οΏ½οΏ½ Remaining share follows old ratio.
- "Remaining Share β Old Ratio"
10 If incoming partner Z takes his 1/4 share equally from X and Y, what is the formula to find the exact fractional amount X surrendered?
Share acquired equally. Half of incoming share surrendered. Equal sacrifice formula used.
X sacrifices half of Z's incoming share. [ \frac{1}{4}\times\frac{1}{2} ] \frac{1}{4}\times\frac{1}{2} Hence, Option D is correct.
- Option A β Old share irrelevant here.
- Option B β Addition incorrect.
- Option C β Incomplete formula.
Used
- Equal Sacrifice Method
Application:
- οΏ½οΏ½ Divide incoming share equally.
Final Logic:
- οΏ½οΏ½ Each partner sacrifices half.
- "Equal Share = Divide by 2"
11 Ram and Shyam share profits 3:2. Ghanshyam is admitted. Ram sacrifices 3/20 and Shyam sacrifices 2/15. What is Ghanshyam's new aggregated share?
Incoming share equals total sacrifice. Add both sacrifices. Fraction simplified.
[ \frac{3}{20}+\frac{2}{15} ] LCM = 60 [ \frac{9}{60}+\frac{8}{60}=\frac{17}{60} ] \frac{3}{20}+\frac{2}{15}=\frac{17}{60} Hence, Option A is correct.
- Option B β Incorrect denominator.
- Option C β Excess total.
- Option D β Incorrect addition.
Used
- Sacrifice Aggregation
Application:
- οΏ½οΏ½ Add sacrificed shares.
Final Logic:
- οΏ½οΏ½ Total sacrifice equals new share.
- "Incoming Share = Total Sacrifice"
12 X and Y share profits 3:2. Z is admitted for a 1/5 share. Z acquires 3/20 from X and 1/20 from Y. What is X's sacrifice represented as a fraction?
Sacrifice directly specified. X gives larger portion. Fraction identified immediately.
X sacrifices exactly 3/20 as stated. Hence, Option B is correct.
- Option A β Total incoming share.
- Option C β Y's sacrifice.
- Option D β Old share only.
Used
- Direct Identification
Application:
- οΏ½οΏ½ Read specified sacrifice carefully.
Final Logic:
- οΏ½οΏ½ X sacrifices 3/20.
- "Specified Share = Sacrifice"
13 Why must the sacrificing ratio be correctly calculated during a partner's admission from an accounting perspective?
Sacrificing partners compensated. Goodwill follows sacrifice. Accurate ratio essential.
Premium for goodwill is distributed according to sacrificing ratio. Hence, Option C is correct.
- Option A β Capital adjustment separate.
- Option B β Liabilities unrelated.
- Option D β Creditors unaffected.
Used
- Accounting Application
Application:
- οΏ½οΏ½ Link sacrifice with compensation.
Final Logic:
- οΏ½οΏ½ Sacrificing ratio ensures fairness.
- "Sacrifice Determines Goodwill"
14 If A's old share was 5/8 and new share is 4/7, the application is 5/8 β 4/7. What is the lowest common denominator used to accurately solve this fraction?
LCM of 8 and 7 needed. Common denominator required. Fraction subtraction simplified.
LCM of 8 and 7: [ 56 ] \text{LCM}(8,7)=56 Hence, Option D is correct.
- Option A β Not divisible by 8.
- Option B β Not divisible by 8.
- Option C β Not divisible by 7.
Used
- Fraction Method
Application:
- οΏ½οΏ½ Find LCM for subtraction.
Final Logic:
- οΏ½οΏ½ Denominator becomes 56.
- "8 Γ 7 = 56"
15 A and B share profits in 3:1. C is admitted for a 1/4 share. The new ratio is calculated as A 9/16, B 3/16, C 4/16. What is A's calculated sacrifice?
Compare old and new share. Difference equals sacrifice. Fraction carefully calculated.
A's Old Share: [ \frac{3}{4}=\frac{12}{16} ] New Share: [ \frac{9}{16} ] Sacrifice: [ \frac{12}{16}-\frac{9}{16}=\frac{3}{16} ] \frac{12}{16}-\frac{9}{16}=\frac{3}{16} Hence, Option A is correct.
- Option B β Incorrect subtraction.
- Option C β Too small.
- Option D β Equals incoming share.
Used
- Sacrifice Formula
Application:
- οΏ½οΏ½ Old Share β New Share.
Final Logic:
- οΏ½οΏ½ A sacrifices 3/16.
- "Old Minus New"
16 If A and B share profits in 3:1, and C is admitted for a 1/4 share with no other specific details regarding acquisition, what is the default sacrificing ratio of A and B?
No agreement specified. Default old ratio applies. Sacrifice follows old ratio.
By default, old partners sacrifice in their old profit sharing ratio. Hence, Option B is correct.
- Option A β Equal sacrifice not assumed.
- Option C β No basis given.
- Option D β Wrong ratio.
Used
- Default Rule Application
Application:
- οΏ½οΏ½ Apply old ratio assumption.
Final Logic:
- οΏ½οΏ½ Sacrifice ratio equals 3:1.
- "No Details = Old Ratio"
17 In a complex scenario where old partners change ratios or admit a new partner:
I. All old partners always make a sacrifice.
II. An old partner may mathematically gain a share.
III. The sum of all fractional sacrifices must equal the sum of all fractional gains.
Which statements are analytically true?
Some partners may gain. Total gain equals total sacrifice. Not all sacrifice always.
Statement II and III are true. Statement I is false because some old partners may gain. Hence, Option C is correct.
- Option A β Statement I false.
- Option B β Statement I false.
- Option D β All statements not true.
Used
- Analytical Verification
Application:
- οΏ½οΏ½ Evaluate ratio effects carefully.
Final Logic:
- οΏ½οΏ½ Gains balance sacrifices mathematically.
- "Total Gain = Total Sacrifice"
18 Assertion (A): A gaining old partner must also logically compensate the sacrificing partner in a reconstitution.
Reason (R): Goodwill is credited to sacrificing partners to directly compensate for their loss of share in the firm's super profits.
Gaining partner benefits. Sacrificing partner compensated. Reason explains compensation basis.
Goodwill compensates partners who sacrifice their future profit share. Hence, Option D is correct.
- Option A β Both true.
- Option B β Reason true.
- Option C β Reason directly explains.
Used
- AssertionβReason Analysis
Application:
- οΏ½οΏ½ Connect gain with compensation.
Final Logic:
- οΏ½οΏ½ Goodwill balances sacrifice.
- "Gain Requires Compensation"
19
Mutual agreement controls acquisition. All concerned parties decide. Partnership principle applied.
The passage clearly states that acquisition terms are decided mutually. Hence, Option A is correct.
- Option B β New partner also involved.
- Option C β Old partners also involved.
- Option D β Government not deciding.
Used
- Passage Interpretation
Application:
- οΏ½οΏ½ Identify decision authority.
Final Logic:
- οΏ½οΏ½ Agreement governs acquisition.
- "Mutual Agreement Decides Share"
20
Incoming share comes from old partners. Existing partners sacrifice profits. Reconstitution changes shares.
The new partner acquires share by reducing the old partners' profit shares. Hence, Option B is correct.
- Option A β Capital increase unnecessary.
- Option C β Asset revaluation not inevitable.
- Option D β Dissolution unnecessary.
Used
- Passage Interpretation
Application:
- οΏ½οΏ½ Identify direct consequence.
Final Logic:
- οΏ½οΏ½ Old partners sacrifice profit share.
- "New Partner = Old Partners Sacrifice"
