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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 that his shares is 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..
  • a)
    Rs. 1,50,000 and Rs. 1,00,000.
  • b)
    Rs. 1,46,250 and Rs. 42,000.
  • c)
    Rs. 1,56,250 and Rs. 68,750.
  • d)
    Rs. 86,250 and Rs. 46,250.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The capitals of A, B and C are Rs. 1,00,000; Rs. 75,000 and Rs. 50,000...
Given:
Capital of A = Rs. 1,00,000
Capital of B = Rs. 75,000
Capital of C = Rs. 50,000
Profit sharing ratio = 3:2:1
B retires and his share is purchased by A and C, keeping the total capital intact.

Step 1: Find the total profit made by the company
Total profit = Profit of A + Profit of B + Profit of C
Let the profit be x
According to the given ratio,
3/6 of the profit = Profit of A
2/6 of the profit = Profit of B
1/6 of the profit = Profit of C

Therefore,
Profit of A = 3x/6 = x/2
Profit of B = 2x/6 = x/3
Profit of C = x/6

Step 2: Find the share of B
B's share in the profit = Profit of B
= x/3

Step 3: Find the new ratio between A and C
After B's share is purchased, the new ratio between A and C is 3:1
Let the share of B be y
Therefore, the new total capital = Capital of A + Capital of B - y + Capital of C - y
= Rs. 1,00,000 + Rs. 50,000 - y + Rs. 50,000 - y
= Rs. 1,50,000 - 2y

Step 4: Find the new capital of A and C
Let the new capital of A be p and the new capital of C be q
According to the new ratio,
p/q = 3/1
p = 3q

Also, the new total capital = p + B's share + q
Rs. 1,50,000 - 2y = 3q + y + q
Rs. 1,50,000 - 2y = 4q + y

Substituting p = 3q in the above equation,
Rs. 1,50,000 - 2y = 4p/3 + y
3(Rs. 1,50,000 - 2y) = 4p + 3y
4p = 3(Rs. 1,50,000 - 2y) - 3y
p = 3/4(Rs. 1,50,000 - 2y) - 3/4y

Substituting p = 3q in the above equation,
3q = 3/4(Rs. 1,50,000 - 2y) - 3/4y
4q = Rs. 2,00,000 - 8y/3
q = (Rs. 2,00,000 - 8y/3)/4

Substituting q in the equation p = 3q,
p = 3(Rs. 2,00,000 - 8y/3)/12
p = (Rs. 1,50,000 - 2y)/2

Therefore, the new capital of A is (Rs. 1,50,000 - 2y)/2 and the new capital of C is (Rs. 2,00,000 - 8y/
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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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer?
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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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. 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 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. 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 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer?.
Solutions 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer?, a detailed solution 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 that his shares is 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 Bs share..a)Rs. 1,50,000 and Rs. 1,00,000.b)Rs. 1,46,250 and Rs. 42,000.c)Rs. 1,56,250 and Rs. 68,750.d)Rs. 86,250 and Rs. 46,250.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
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