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?

Question: 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?

Solution:
Let the initial investments of A and B be 3x and 5x.
Now
A : B : C = (3x × 12) : (5x × 12) : (5x × 6)
A : B : C = 36 : 60 : 30
A : B : C = 6 : 10 : 5