A and B invest in the ratio of 3 : 5, respectively. After 6 months, C enters the business with the investment of the capital equal to that of B. What will be the ratio of the profits of A, B and C at the end of year?

6 : 10 : 5
3 : 5 : 5
3 : 5 : 2
6 : 2 : 3

Correct Answer: 6 : 10 : 5

Explanation:

Let investment of A = 3N
∴ Investment of B = 5N
Investment of C = 5N
As we know,
Ratio of profits = Ratio of investments
∴ A's share : B's share : C's share
= 3N x 12 : 5N x 12 : 5N x (12 - 6)
= 3N x 12 : 5N x 12 : 5N x 6
= 6 : 10 : 5

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