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 A and B are partners in a firm sharing profits and losses in the ratio 1:2.They admitted C into the partnership and decided to give him 1/3rd share of the future profits. Find the new ratio of the partners.
  • a)
    It is 3:2:1
  • b)
    It is 2:4:3
  • c)
    It is 3:4:2
  • d)
    It is 4:2:3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A and B are partners in a firm sharing profits and losses in the ratio...
Given:
- A and B are partners with profit-sharing ratio 1:2.
- C is admitted into the partnership and given 1/3rd share of future profits.

To find: New ratio of the partners.

Solution:
Let the total profit be x.
Then, profit shares of A and B will be (1/3)x and (2/3)x respectively.
Let the share of C be y.
Then, y = (1/3)x/3 = (1/9)x

Thus, the new profit-sharing ratio will be:

A : B : C
= (1/3)x : (2/3)x : y
= (1/3)x : (2/3)x : (1/9)x
= 3x : 6x : x
= 3 : 6 : 1
= 2 : 4 : 1 (by dividing each term by the lowest term)

Therefore, the new ratio of partners is 2:4:1, which is option (b).
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A and B are partners in a firm sharing profits and losses in the ratio...
Remaing share of A&B=1-1/3=2/3. A's new share=1/3*2/3=2/9 B's new share=2/3*2/3=4/9 C's share=1/3=1/3*3/3=3/9(Making the denomonator same) new share=2/9:4/9:3/9 . =2:4:3
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