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A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:
- a)Sacrificing ratio 1 : 1
- b)Sacrificing ratio 2 : 1
- c)A’s Sacrifice 6/15 and B’s Gain 3/15
- d)Sacrificing ratio 3 : 5
Correct answer is 'C'. Can you explain this answer?
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Verified Answer
A and B are partners in a firm sharing profits in the ratio of 2 : 1. ...
Calculation of sacrificing ratio of partners:
Old Ratio = 2:1
New Ratio of A and B = 1:2
New Ratio of A, B and C will be : 1 – 1/5 = 4/5
A’s new share = 1/3 × 4/5 = 4/15
B’s new share = 2/3 × 4/5 = 8/15
C’s Share 1/5 OR 3/15
New Ratio 4 : 8: 3
Sacrificing Ratio = A : 2/3 – 4/15= 6/15
B : 1/3 – 8/15 = 3/15 Gain
Old Ratio = 2:1
New Ratio of A and B = 1:2
New Ratio of A, B and C will be : 1 – 1/5 = 4/5
A’s new share = 1/3 × 4/5 = 4/15
B’s new share = 2/3 × 4/5 = 8/15
C’s Share 1/5 OR 3/15
New Ratio 4 : 8: 3
Sacrificing Ratio = A : 2/3 – 4/15= 6/15
B : 1/3 – 8/15 = 3/15 Gain
Most Upvoted Answer
A and B are partners in a firm sharing profits in the ratio of 2 : 1. ...
The initial ratio of A and B is 2:1, which can be written as 2x : x, where x is the common ratio factor.
After C is admitted for 1/5 share, the new total profit sharing ratio becomes 5/5 or 1:1.
Let the new share of C be y. Then, the new profit sharing ratio of A, B, and C will be 2x : 4x : y.
According to the question, the new ratio of A and B will be 1:2. Therefore, we can write:
2x/y = 1/2
Solving for y, we get:
y = 4x
So, the new profit sharing ratio of A, B, and C will be 2x : 4x : 4x, which simplifies to 2:4:4 or 1:2:2.
To find the sacrificing ratio, we need to compare the old ratio and the new ratio of A and B. The old ratio was 2:1, and the new ratio is 1:2.
A has sacrificed 1/2 of his share (from 2/3 to 1/3), which is a sacrifice of 1/3 of the total profit. Similarly, B has sacrificed 1/2 of his share (from 1/3 to 2/3), which is also a sacrifice of 1/3 of the total profit.
Therefore, the sacrificing ratio is 1:1, option (a).
After C is admitted for 1/5 share, the new total profit sharing ratio becomes 5/5 or 1:1.
Let the new share of C be y. Then, the new profit sharing ratio of A, B, and C will be 2x : 4x : y.
According to the question, the new ratio of A and B will be 1:2. Therefore, we can write:
2x/y = 1/2
Solving for y, we get:
y = 4x
So, the new profit sharing ratio of A, B, and C will be 2x : 4x : 4x, which simplifies to 2:4:4 or 1:2:2.
To find the sacrificing ratio, we need to compare the old ratio and the new ratio of A and B. The old ratio was 2:1, and the new ratio is 1:2.
A has sacrificed 1/2 of his share (from 2/3 to 1/3), which is a sacrifice of 1/3 of the total profit. Similarly, B has sacrificed 1/2 of his share (from 1/3 to 2/3), which is also a sacrifice of 1/3 of the total profit.
Therefore, the sacrificing ratio is 1:1, option (a).
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Community Answer
A and B are partners in a firm sharing profits in the ratio of 2 : 1. ...
Old Ratio 2:1
New ratio of A&B=1:2
Remaining Share=1-1/5=4/5
New share of A= 1/3×4/5 = 4/15
New Share of B= 2/3×4/5 = 8/15
C's Share = 1/5 Or 1/5×3/3 =3/15
Then,New Ratio Will be... 4:8:3
sacrificing Ratio of partners A&B:-
Old Ratio - New Ratio
sacrifice Ratio of A: 2/3 - 4/15 = 6/15
Sacrifing Ratio of B : 1/3 - 8/15 =(- 3/15)
So the correct Answer is option where A will sacrifice with 6/15 And B will gain.. (-3/15)
New ratio of A&B=1:2
Remaining Share=1-1/5=4/5
New share of A= 1/3×4/5 = 4/15
New Share of B= 2/3×4/5 = 8/15
C's Share = 1/5 Or 1/5×3/3 =3/15
Then,New Ratio Will be... 4:8:3
sacrificing Ratio of partners A&B:-
Old Ratio - New Ratio
sacrifice Ratio of A: 2/3 - 4/15 = 6/15
Sacrifing Ratio of B : 1/3 - 8/15 =(- 3/15)
So the correct Answer is option where A will sacrifice with 6/15 And B will gain.. (-3/15)
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A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:a)Sacrificing ratio 1 : 1b)Sacrificing ratio 2 : 1c)A’s Sacrifice 6/15 and B’s Gain 3/15d)Sacrificing ratio 3 : 5Correct answer is 'C'. Can you explain this answer?
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A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:a)Sacrificing ratio 1 : 1b)Sacrificing ratio 2 : 1c)A’s Sacrifice 6/15 and B’s Gain 3/15d)Sacrificing ratio 3 : 5Correct answer is 'C'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:a)Sacrificing ratio 1 : 1b)Sacrificing ratio 2 : 1c)A’s Sacrifice 6/15 and B’s Gain 3/15d)Sacrificing ratio 3 : 5Correct answer is 'C'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are partners in a firm sharing profits in the ratio of 2 : 1. They admit C as a new partner for 1/5 share. New Ratio of A and B will be 1 : 2. Sacrificing ratio will be:a)Sacrificing ratio 1 : 1b)Sacrificing ratio 2 : 1c)A’s Sacrifice 6/15 and B’s Gain 3/15d)Sacrificing ratio 3 : 5Correct answer is 'C'. Can you explain this answer?.
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