Select the correct answerA,B and C are partners in a business. A, whose capital was used for 5 months, claims 17 part of the total profit. B, whose capital was used for 7 months, claims 15 part of the total profit. If C invested Rs. 4,600 for 9 months, then what is the amount invested by A?
Question
Select the correct answerA,B and C are partners in a business. A, whose capital was used for 5 months, claims 17 part of the total profit. B, whose capital was used for 7 months, claims 15 part of the total profit. If C invested Rs. 4,600 for 9 months, then what is the amount invested by A?
Solution
The problem is about the distribution of profit in a partnership, which is usually proportional to the product of the capital invested and the time for which it is invested.
Let's denote the capitals of A, B, and C as Ca, Cb, and Cc respectively.
According to the problem, we have the following ratios:
Ca * 5 : Cb * 7 : Cc * 9 = 1/7 : 1/5 : 1
We know that Cc = Rs. 4,600.
So, we can write the ratios in terms of Cc:
Ca * 5 / 4600 * 9 : Cb * 7 / 4600 * 9 : 1 = 1/7 : 1/5 : 1
Solving the above equation for Ca, we get:
Ca = (4600 * 9 * 1/7) / 5 = Rs. 1188
So, A invested Rs. 1188 in the business.
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