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The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000, profits are shared in the ratio of 3:2:1. B retires on the basis of his share purchased by other partners keeping the total capital intact. The new ratio between A and C is 3:1. Find the capital of A and C after purchasing B’s share.?
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The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000...
Solution:

Given, the capitals of A, B, and C are Rs.1,00,000; Rs.75,000 and Rs.50,000 respectively. The profits are shared in the ratio of 3:2:1.

Step 1: Calculation of Profit Sharing Ratio
Total Profit = Profit of A + Profit of B + Profit of C
Let the profit be x.
Profit of A = 3x/6 = x/2
Profit of B = 2x/6 = x/3
Profit of C = x/6

Therefore, the profit sharing ratio of A, B, and C = x/2 : x/3 : x/6 = 3:2:1

Step 2: Calculation of B’s Share Purchased
Let B’s share be y.
Therefore, y = (2/6) x = x/3
Total capital = Capital of A + Capital of B + Capital of C
= Rs.1,00,000 + Rs.75,000 + Rs.50,000
= Rs.2,25,000

As B retires, his share is purchased by A and C in the ratio of 3:1, respectively while keeping the total capital intact.

Step 3: Calculation of New Capitals of A and C
Let the amount of B’s share purchased by A and C be 3z and z, respectively.
Therefore, 3z + z = y
=> 4z = x/3
=> z = x/12

Now, the new capital of A = Capital of A + 3z
= Rs.1,00,000 + 3(x/12)
= Rs.1,00,000 + x/4

The new capital of C = Capital of C + z
= Rs.50,000 + (x/12)
= Rs.50,000 + x/12

Therefore, the new capitals of A and C after purchasing B’s share are Rs.1,00,000 + x/4 and Rs.50,000 + x/12, respectively.
Community Answer
The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000...
After retiring B the total capital of the firm is 22500.it is said that the new ratio of A and B is 3:1 soA share is equal to 3/4×225000 I.e=168750,B share is equal to 1/4×225000I.e= 562506
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The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000, profits are shared in the ratio of 3:2:1. B retires on the basis of his share purchased by other partners keeping the total capital intact. The new ratio between A and C is 3:1. Find the capital of A and C after purchasing B’s share.?
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The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000, profits are shared in the ratio of 3:2:1. B retires on the basis of his share purchased by other partners keeping the total capital intact. The new ratio between A and C is 3:1. Find the capital of A and C after purchasing B’s share.? 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 The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000, profits are shared in the ratio of 3:2:1. B retires on the basis of his share purchased by other partners keeping the total capital intact. The new ratio between A and C is 3:1. Find the capital of A and C after purchasing B’s share.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000, profits are shared in the ratio of 3:2:1. B retires on the basis of his share purchased by other partners keeping the total capital intact. The new ratio between A and C is 3:1. Find the capital of A and C after purchasing B’s share.?.
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