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A and B are partners sharing profit in the ratio of 2:1 respectively A's capital is rupees 102000 and B's capital is rupees 73000. They admitted C and agreed to give him 1/5 share in the future of profit C brings 14000 as share of goodwill he agreed to contribute capital in the new profit sharing ratio how much capital will be brought by C?? A) 43750 B) 45000 C) 47250 D) 48000?
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A and B are partners sharing profit in the ratio of 2:1 respectively A...
Given information:
- A's capital = Rs. 102000
- B's capital = Rs. 73000
- Profit sharing ratio between A and B = 2:1
- C is admitted and given 1/5 share in future profit
- C brings Rs. 14000 as share of goodwill
- C will contribute capital in the new profit sharing ratio

To find: How much capital will be brought by C?

Solution:
Step 1: Calculate the total capital of A and B
- Total capital = A's capital + B's capital
- Total capital = Rs. (102000 + 73000)
- Total capital = Rs. 175000

Step 2: Calculate the profit sharing ratio between A, B, and C
- A and B's ratio = 2:1
- A, B, and C's ratio = 2x : x : y (let's assume C's ratio as y)
- Total ratio = 2x + x + y = 5x + y
- C's share in future profit = 1/5 of total profit
- C's share = (1/5) x (5x + y) = x + (y/5)

Step 3: Calculate the value of x
- A's share = 2/3 of total profit (since A's ratio is 2 out of 3 parts)
- B's share = 1/3 of total profit (since B's ratio is 1 out of 3 parts)
- C's share = x + (y/5) out of total profit
- Total profit = A's share + B's share + C's share
- Total profit = (2/3)x + (1/3)x + (y/5)
- Total profit = (5x + y)/15
- C's share = (1/5) x (5x + y) = x + (y/5)
- Simplifying the above equations, we get:
y = 3x

Step 4: Calculate the total capital after C's admission
- Total capital after C's admission = Total capital + C's share of goodwill
- Total capital after C's admission = Rs. (175000 + 14000)
- Total capital after C's admission = Rs. 189000

Step 5: Calculate the capital contributed by C
- C's ratio = y = 3x
- Total ratio = 2x + x + y = 5x + y
- C's ratio in terms of total ratio = y / (5x + y) = 3x / (5x + 3x) = 3/8
- C's share in total capital after admission = (3/8) x Total capital after admission
- C's share in total capital after admission = (3/8) x 189000
- C's share in total capital after admission = Rs. 70875

Therefore, C will bring Rs. 70875 as capital.
Option C (47250) is not the correct answer.
Community Answer
A and B are partners sharing profit in the ratio of 2:1 respectively A...
Hi there !

The answer is 43,750

Solution :- Combined adjusted capital × reciprocal of new partner share

= (102,000 + 73,000 ) × 1/5 × 5/4 = 43,750
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A and B are partners sharing profit in the ratio of 2:1 respectively A's capital is rupees 102000 and B's capital is rupees 73000. They admitted C and agreed to give him 1/5 share in the future of profit C brings 14000 as share of goodwill he agreed to contribute capital in the new profit sharing ratio how much capital will be brought by C?? A) 43750 B) 45000 C) 47250 D) 48000?
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A and B are partners sharing profit in the ratio of 2:1 respectively A's capital is rupees 102000 and B's capital is rupees 73000. They admitted C and agreed to give him 1/5 share in the future of profit C brings 14000 as share of goodwill he agreed to contribute capital in the new profit sharing ratio how much capital will be brought by C?? A) 43750 B) 45000 C) 47250 D) 48000? for CA Foundation 2024 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 profit in the ratio of 2:1 respectively A's capital is rupees 102000 and B's capital is rupees 73000. They admitted C and agreed to give him 1/5 share in the future of profit C brings 14000 as share of goodwill he agreed to contribute capital in the new profit sharing ratio how much capital will be brought by C?? A) 43750 B) 45000 C) 47250 D) 48000? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B are partners sharing profit in the ratio of 2:1 respectively A's capital is rupees 102000 and B's capital is rupees 73000. They admitted C and agreed to give him 1/5 share in the future of profit C brings 14000 as share of goodwill he agreed to contribute capital in the new profit sharing ratio how much capital will be brought by C?? A) 43750 B) 45000 C) 47250 D) 48000?.
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