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3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.
- a)Rs.102400
- b)Rs.122400
- c)Rs.112400
- d)Rs.123400
Correct answer is option 'C'. Can you explain this answer?
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3 partners started a business. Twice the investment of A is equal to t...
Answer – C)Rs.112400 Solution: C=x, B=4x 2(A’s capital)= 3(B’s capital)= 3*4x A’s capital= (3*4x /2) = 6x Ratio: 6:4:1 B’s share= 4/11 * 309100
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3 partners started a business. Twice the investment of A is equal to t...
Let's assume that the capital of partner C is x.
According to the given information, the capital of partner B is four times the capital of partner C. So, the capital of partner B is 4x.
Twice the investment of partner A is equal to thrice the capital of partner B. So, 2A = 3(4x).
Simplifying the equation, we get 2A = 12x.
This implies that A = 6x.
The total capital invested by the three partners is the sum of their individual capitals. So, the total capital is x + 4x + 6x = 11x.
Now, let's assume that the profit made by the business is Rs. P.
The share of partner A in the profit can be calculated using the ratio of his capital to the total capital. So, the share of A = (6x/11x) * P = 6P/11.
Similarly, the share of partner B can be calculated using the ratio of his capital to the total capital. So, the share of B = (4x/11x) * P = 4P/11.
The share of partner C can be calculated using the ratio of his capital to the total capital. So, the share of C = (x/11x) * P = P/11.
Since the share of partner B is 4P/11, we need to find the value of 4P/11 when P = Rs. 309100.
So, the share of B = (4 * 309100)/11 = 1236400/11 = Rs. 112400.
Hence, the correct answer is option C, Rs. 112400.
According to the given information, the capital of partner B is four times the capital of partner C. So, the capital of partner B is 4x.
Twice the investment of partner A is equal to thrice the capital of partner B. So, 2A = 3(4x).
Simplifying the equation, we get 2A = 12x.
This implies that A = 6x.
The total capital invested by the three partners is the sum of their individual capitals. So, the total capital is x + 4x + 6x = 11x.
Now, let's assume that the profit made by the business is Rs. P.
The share of partner A in the profit can be calculated using the ratio of his capital to the total capital. So, the share of A = (6x/11x) * P = 6P/11.
Similarly, the share of partner B can be calculated using the ratio of his capital to the total capital. So, the share of B = (4x/11x) * P = 4P/11.
The share of partner C can be calculated using the ratio of his capital to the total capital. So, the share of C = (x/11x) * P = P/11.
Since the share of partner B is 4P/11, we need to find the value of 4P/11 when P = Rs. 309100.
So, the share of B = (4 * 309100)/11 = 1236400/11 = Rs. 112400.
Hence, the correct answer is option C, Rs. 112400.
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3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.a)Rs.102400b)Rs.122400c)Rs.112400d)Rs.123400Correct answer is option 'C'. Can you explain this answer?
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3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.a)Rs.102400b)Rs.122400c)Rs.112400d)Rs.123400Correct 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 3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.a)Rs.102400b)Rs.122400c)Rs.112400d)Rs.123400Correct 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 3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.a)Rs.102400b)Rs.122400c)Rs.112400d)Rs.123400Correct answer is option 'C'. Can you explain this answer?.
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