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A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?
- a)Rs.420
- b)Rs. 300
- c)Rs.400
- d)Rs.350
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A, B and C enter into a partnership and their shares are in ratio 1/2 ...
Ratio of investments =1/2 : 1/3 : 1/4 , LCM of 2, 3, 4 = 12 ,multiply ratios with 12 we get 6 : 4 : 3 , so,initial investment be 6x, 2x and 3x so, we can write: A : B :C
=(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6
B’s share= (8/21) x 1050 = 400
=(6x X 2 + 3x X 10 ) : (4x X 12) :(3x X 12) = 7:8:6
B’s share= (8/21) x 1050 = 400
Most Upvoted Answer
A, B and C enter into a partnership and their shares are in ratio 1/2 ...
's share in the profit?
Let us assume that the initial investments of A, B and C are x, y and z respectively.
Their shares in the partnership are in the ratio 1/2 : 1/3 : 1/4, which can be written as:
A's share = x/2x, B's share = y/3x, and C's share = z/4x
We can simplify this as:
A's share = 3/6, B's share = 2/6, and C's share = 1/6
After 2 months, A withdraws half of his capital. This means his share in the partnership reduces to:
A's share = 1/2 * 3/6 = 3/12 = 1/4
The shares of B and C remain the same.
Let the total profit at the end of 12 months be P.
The profit is divided in the ratio of their shares, which are now:
A's share = 1/4, B's share = 2/6, and C's share = 1/6
Therefore, we can write:
A's share = (1/4) * P, B's share = (2/6) * P, and C's share = (1/6) * P
Given that the total profit is Rs 1050, we can substitute this value to find B's share:
(2/6) * 1050 = Rs 350
Therefore, B's share in the profit is Rs 350.
Let us assume that the initial investments of A, B and C are x, y and z respectively.
Their shares in the partnership are in the ratio 1/2 : 1/3 : 1/4, which can be written as:
A's share = x/2x, B's share = y/3x, and C's share = z/4x
We can simplify this as:
A's share = 3/6, B's share = 2/6, and C's share = 1/6
After 2 months, A withdraws half of his capital. This means his share in the partnership reduces to:
A's share = 1/2 * 3/6 = 3/12 = 1/4
The shares of B and C remain the same.
Let the total profit at the end of 12 months be P.
The profit is divided in the ratio of their shares, which are now:
A's share = 1/4, B's share = 2/6, and C's share = 1/6
Therefore, we can write:
A's share = (1/4) * P, B's share = (2/6) * P, and C's share = (1/6) * P
Given that the total profit is Rs 1050, we can substitute this value to find B's share:
(2/6) * 1050 = Rs 350
Therefore, B's share in the profit is Rs 350.
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A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer?
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A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer?.
A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer?.
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A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 12 months, a profit of Rs 1050 is divided among them. What is B’s share ?a)Rs.420b)Rs. 300c)Rs.400d)Rs.350Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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