A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined them 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 amount A, B and C?
Choose the correct choice from the following choices.
A) 3 : 5 : 2
B) 3 : 5 : 5
C) 6 : 10 : 5
D) None of these
E) Cannot be determined
Solution   Let the initial investments of A and B be 3x and 5x.   A : B : C	=(3x ×12):(5x ×12):(5x×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 them 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 amount A, B and C?