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A and B were partners in a firm who share profits in the ratio of 5:3. C is admitted for 1/10th share of half of which was gifted by A and remaining was taken by c equally from A & B, find the new ratio.
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A and B were partners in a firm who share profits in the ratio of 5:3....
And B's share. What is the new profit sharing ratio?
Let's first calculate the total profit sharing ratio before C was admitted:
Total ratio = 5 + 3 = 8
Now, we need to find out how much share C will have. According to the question, C is admitted for 1/10th share of half, which means:
C's share = 1/10 * 1/2 = 1/20
Out of this 1/20 share, half was gifted by A, which means:
Gifted share = 1/20 * 1/2 = 1/40
So, A's share will reduce by 1/40. Now, C takes the remaining 1/40 share equally from A and B's share, which means:
C takes 1/80 share from A and B each.
Now, let's calculate the new profit sharing ratio:
A's new share = 5/8 - 1/40 - 1/80 = 49/80
B's new share = 3/8 - 1/80 - 1/80 = 23/80
C's share = 1/20 + 1/80 + 1/80 = 1/10
New profit sharing ratio = 49:23:10
Therefore, the new profit sharing ratio is 49:23:10.
Let's first calculate the total profit sharing ratio before C was admitted:
Total ratio = 5 + 3 = 8
Now, we need to find out how much share C will have. According to the question, C is admitted for 1/10th share of half, which means:
C's share = 1/10 * 1/2 = 1/20
Out of this 1/20 share, half was gifted by A, which means:
Gifted share = 1/20 * 1/2 = 1/40
So, A's share will reduce by 1/40. Now, C takes the remaining 1/40 share equally from A and B's share, which means:
C takes 1/80 share from A and B each.
Now, let's calculate the new profit sharing ratio:
A's new share = 5/8 - 1/40 - 1/80 = 49/80
B's new share = 3/8 - 1/80 - 1/80 = 23/80
C's share = 1/20 + 1/80 + 1/80 = 1/10
New profit sharing ratio = 49:23:10
Therefore, the new profit sharing ratio is 49:23:10.
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A and B were partners in a firm who share profits in the ratio of 5:3. C is admitted for 1/10th share of half of which was gifted by A and remaining was taken by c equally from A & B, find the new ratio. Related: Sample Questions - Admission of a Partner?
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