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A and B share profits and losses in a firm in the ratio of 3 : 2. And C entered in the firm as a new partner; his profit sharing ratio is 1/4. If C has taken his share of profit from A and B in equal ratio, then the new profit shearing ratio will be ?
- a)19 : 11 : 1
- b)19 : 11 : 10
- c)10 : 11 : 9
- d)10 : 11 : 19
Correct answer is option 'B'. Can you explain this answer?
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A and B share profits and losses in a firm in the ratio of 3 : 2. And ...
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A and B share profits and losses in a firm in the ratio of 3 : 2. And ...
Given information:
- A and B share profits and losses in the ratio of 3:2.
- C entered the firm as a new partner with a profit sharing ratio of 1/4.
- C has taken his share of profit from A and B in equal ratio.
To find: The new profit sharing ratio.
Solution:
Let the total profit be x.
A's profit = 3x/5
B's profit = 2x/5
C's profit = x/4
C has taken his share of profit from A and B in equal ratio. Therefore, C's share from A = C's share from B.
Let's say C's share from A and B is y.
C's share from A = y
C's share from B = y
Therefore, A's remaining profit = 3x/5 - y
B's remaining profit = 2x/5 - y
Now, we know that C's profit sharing ratio is 1/4. Therefore,
C's share = x/4 = y + y = 2y
Solving for y, we get y = x/8
A's share = 3x/5 - x/8 = 19x/40
B's share = 2x/5 - x/8 = 11x/40
C's share = x/4
Therefore, the new profit sharing ratio is 19:11:10.
Hence, the correct option is (B).
- A and B share profits and losses in the ratio of 3:2.
- C entered the firm as a new partner with a profit sharing ratio of 1/4.
- C has taken his share of profit from A and B in equal ratio.
To find: The new profit sharing ratio.
Solution:
Let the total profit be x.
A's profit = 3x/5
B's profit = 2x/5
C's profit = x/4
C has taken his share of profit from A and B in equal ratio. Therefore, C's share from A = C's share from B.
Let's say C's share from A and B is y.
C's share from A = y
C's share from B = y
Therefore, A's remaining profit = 3x/5 - y
B's remaining profit = 2x/5 - y
Now, we know that C's profit sharing ratio is 1/4. Therefore,
C's share = x/4 = y + y = 2y
Solving for y, we get y = x/8
A's share = 3x/5 - x/8 = 19x/40
B's share = 2x/5 - x/8 = 11x/40
C's share = x/4
Therefore, the new profit sharing ratio is 19:11:10.
Hence, the correct option is (B).
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A and B share profits and losses in a firm in the ratio of 3 : 2. And C entered in the firm as a new partner; his profit sharing ratio is1/4. If C has taken his share of profit from A and B in equal ratio, then the new profit shearing ratio will be ?a)19 : 11 : 1b)19 : 11 : 10c)10 : 11 : 9d)10 : 11 : 19Correct answer is option 'B'. Can you explain this answer?
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