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A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

3 : 5 : 2
3 : 5 : 5
6 : 10 : 5
Data inadequate
Explanation:

Let the initial investments of A and B be 3$ x $ and 5$ x $.

A : B : C = $\left(3 x \times 12\right)$ :$\left (5 x \times 12\right)$ : $\left(5 x \times 6\right)$ = 36 : 60 : 30 = 6 : 10 : 5.

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