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
View all questions of this test
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).
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)
To make sure you are not studying endlessly, EduRev has designed Commerce study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Commerce.