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A, B, and C are partners with capitals of Rs. 1,00,000, Rs. 75,000 and Rs. 50,000. On C’s retirement his share is acquired by A and B in the ration of 6:4. Gaining ratio will be:
  • a)
    3:2
  • b)
    2:2
  • c)
    2:3
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A, B, and C are partners with capitals of Rs. 1,00,000, Rs. 75,000 and...
On C's investment of Rs. 50,000, A and B invest Rs. 1,00,000 and Rs. 75,000 respectively.

Let's calculate the ratio of their investments:

A's investment = Rs. 1,00,000
B's investment = Rs. 75,000
C's investment = Rs. 50,000

To find the ratio, we divide each investment by the smallest investment:
A's ratio = A's investment / C's investment = Rs. 1,00,000 / Rs. 50,000 = 2
B's ratio = B's investment / C's investment = Rs. 75,000 / Rs. 50,000 = 1.5
C's ratio = C's investment / C's investment = Rs. 50,000 / Rs. 50,000 = 1

So, the ratio of their investments is 2:1.5:1.

Now, let's calculate the ratio of their profits:

Let the total profit be X.

A's share of profit = (A's ratio / Total ratio) * X
= (2 / (2 + 1.5 + 1)) * X
= (2 / 4.5) * X
= 4X / 9

B's share of profit = (B's ratio / Total ratio) * X
= (1.5 / (2 + 1.5 + 1)) * X
= (1.5 / 4.5) * X
= 3X / 9

C's share of profit = (C's ratio / Total ratio) * X
= (1 / (2 + 1.5 + 1)) * X
= (1 / 4.5) * X
= 2X / 9

So, the ratio of their profits is 4X/9 : 3X/9 : 2X/9, which simplifies to 4:3:2.
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Community Answer
A, B, and C are partners with capitals of Rs. 1,00,000, Rs. 75,000 and...
Given:
A, B, and C share profits and losses based on their capitals.
Capitals: A = Rs. 1,00,000, B = Rs. 75,000, C = Rs. 50,000.
  1. Total Capitals:
    Total = Rs. 1,00,000 + Rs. 75,000 + Rs. 50,000 = Rs. 2,25,000.
  2. Profit Sharing Ratio:
    A : B : C = 1,00,000 : 75,000 : 50,000 = 4 : 3 : 2.
  3. C's Share:
    C's share = 2 parts (out of 9 parts total in the ratio 4:3:2).
  4. C's Share Distribution:
    C's share is acquired by A and B in the ratio 6:4.
    Total parts = 6 + 4 = 10.
    A's gain = 610 of C's share.
    B's gain = 410 of C's share.
  5. Gaining Ratio:
    A : B = 6 : 4 = 3 : 2.
The gaining ratio is 3:2.
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A, B, and C are partners with capitals of Rs. 1,00,000, Rs. 75,000 and Rs. 50,000. On C’s retirement his share is acquired by A and B in the ration of 6:4. Gaining ratio will be:a)3:2b)2:2c)2:3d)NoneCorrect answer is option 'A'. Can you explain this answer?
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