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?  Options.
A) 3 : 5 : 2
B) 3 : 5 : 5
C) 6 : 10 : 5
D) 3 : 4 : 5
E) 4 : 6 : 8
Let the initial investments of A and B be 3x and 5x.   A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.   Answer: 6 : 10 : 5
<result>C</result>
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?