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A and B are partners sharing profits and losses in the ratio of 3:2 (A’s Capital is Rs. 30,000 and B’s Capital is Rs. 15,000). They admitted C agreed to give 1/5th share of profits to him.How much C should bring in towards his capital?
  • a)
    Rs. 9,000.
  • b)
    Rs. 12,000.
  • c)
    Rs. 14,500.
  • d)
    Rs. 11,250.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A and B are partners sharing profits and losses in the ratio of 3:2 (A...
Present capital for 4/5 share is Rs. 45000 (Both existing partners).

So, for remaining 1/5th share, its 45000 x 1/4 = 11,250
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A and B are partners sharing profits and losses in the ratio of 3:2 (A...
Given:
- A and B are partners sharing profits and losses in the ratio of 3:2
- A's capital is Rs. 30,000 and B's capital is Rs. 15,000
- C is admitted and agreed to give 1/5th share of profits to him

To Find: How much C should bring in towards his capital?

Solution:
Let's first calculate the total profit-sharing ratio of A, B, and C.

Total Ratio = A:B:C = 3:2:x (let's assume x as C's share)

As per the question, C is agreed to give 1/5th share of profits to him.
So, the remaining profit will be shared between A and B in the ratio of 3:2.

Therefore, the profit-sharing ratio of A, B, and C after C's share is deducted = 3:2:4 (as 1/5th of the total ratio is 4)

Given,
- A's capital = Rs. 30,000
- B's capital = Rs. 15,000

Let's calculate the total capital of the firm after C's admission.

Total Capital = A's Capital + B's Capital + C's Capital
Total Capital = Rs. 30,000 + Rs. 15,000 + C's Capital
Total Capital = Rs. 45,000 + C's Capital

Now, let's apply the concept of the sum of ratios to find out C's capital.

Sum of ratios = Total Capital : C's Capital
Sum of ratios = (Rs. 45,000 + C's Capital) : C's Capital

As per the profit-sharing ratio,
3:2:4 = 3x : 2x : 4x

Therefore,
Total Ratio = 3x + 2x + 4x = 9x

Now, we can equate the total ratio with the sum of ratios to get the value of C's capital.

9x = (Rs. 45,000 + C's Capital) : C's Capital

9x * C's Capital = Rs. 45,000 + C's Capital

8x * C's Capital = Rs. 45,000

C's Capital = Rs. 45,000 / 8x

C's share of profit = 1/5th of the total profit
C's share of profit = 1/5 * Total Profit

Let's assume the total profit as P.
C's share of profit = P/5

As per the question, C is agreed to give 1/5th of the total profit to him.
So, the remaining profit will be shared between A and B in the ratio of 3:2.

Therefore,
C's share of profit = P/5
A's share of profit = 3P/5 * 3/5 = 9P/25
B's share of profit = 2P/5 * 2/5 = 4P/25

Given that C's share of profit = 1/5 * P
And, C's share of profit = C's capital * Profit-sharing ratio of C

Therefore,
C's capital * 4/9 = P/5

C's capital = P/5 * 9
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A and B are partners sharing profits and losses in the ratio of 3:2 (A’s Capital is Rs. 30,000 and B’s Capital is Rs. 15,000). They admitted C agreed to give 1/5th share of profits to him.How much C should bring in towards his capital?a)Rs. 9,000.b)Rs. 12,000.c)Rs. 14,500.d)Rs. 11,250.Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A and B are partners sharing profits and losses in the ratio of 3:2 (A’s Capital is Rs. 30,000 and B’s Capital is Rs. 15,000). They admitted C agreed to give 1/5th share of profits to him.How much C should bring in towards his capital?a)Rs. 9,000.b)Rs. 12,000.c)Rs. 14,500.d)Rs. 11,250.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are partners sharing profits and losses in the ratio of 3:2 (A’s Capital is Rs. 30,000 and B’s Capital is Rs. 15,000). They admitted C agreed to give 1/5th share of profits to him.How much C should bring in towards his capital?a)Rs. 9,000.b)Rs. 12,000.c)Rs. 14,500.d)Rs. 11,250.Correct answer is option 'D'. Can you explain this answer?.
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