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.