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A and B are partners, sharing profits in the ratio of 5:3. They admit C with 1/5 share in profits, which he acquires equally from both 1/10 from A and 1/10 from B. New profit sharing ratio will be:
  • a)
    21:11:8
  • b)
    20:10:4
  • c)
    15:10:4
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A and B are partners, sharing profits in the ratio of 5:3. They admit ...
C is acquiring 1/10th equally from both A and B,
A's new share= 5/8 - 1/10= 21/40
B's new share= 3/8 - 1/10= 11/40
C's share= 8/40
New profit-sharing ratio= 21:11:8
Therefore, D is the correct answer.
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Most Upvoted Answer
A and B are partners, sharing profits in the ratio of 5:3. They admit ...
Old ratio
A=5/8  B=3/8
Admitted partner C gets 1/10 from A and 1/10 from B
From A: 5/8-1/10= 42/80= 21/40
From B: 3/8-1/10= 22/80= 11/40
C's share 1/5= 8/40
New share= 21/40:11/40:8:40= 21:11:8
Option A is the right answer
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Community Answer
A and B are partners, sharing profits in the ratio of 5:3. They admit ...
Calculation:
Let's first calculate the share of C in the profits.
C acquires 1/10 share from both A and B. So, the total share acquired by C is 1/10 + 1/10 = 1/5.

Profit sharing ratio:
The profit sharing ratio after admitting C will be the ratio of the remaining profits of A and B.
The remaining profit for A will be (1 - 1/10) = 9/10.
The remaining profit for B will be (1 - 1/10) = 9/10.

The new profit sharing ratio will be 9/10 : 9/10 : 1/5.

To simplify this ratio, we can multiply each term by the same number to obtain whole numbers.
Multiplying each term by 10 will give us the simplified ratio of 9 : 9 : 2.

Final Ratio:
The final profit sharing ratio will be 9 : 9 : 2.
Simplifying this ratio further, we get 21 : 21 : 4.

Hence, the new profit sharing ratio is 21 : 21 : 4, which is option 'D'.
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