Abu and Salim started a partnership business investing some amount of money in the ratio of 4 : 6. Shakeel joined them after six months with an amount equal to that of Salim. In what proportion should the profit at the end of one year be distributed among Abu, Salim and Shakeel?

Question: Abu and Salim started a partnership business investing some amount of money in the ratio of 4 : 6. Shakeel joined them after six months with an amount equal to that of Salim. In what proportion should the profit at the end of one year be distributed among Abu, Salim and Shakeel?

Solution:
As (4 : 6 is equivalent to 2 : 3)
So let the initial investment of money ratio of Abu and Salim is 2x and 3x.
So Abu , Salim and Shakeel ratio of investment will be ( Abu : Salim : Shakeel ) = (2x × 12) : (3x × 12) : (3x × 6) = 24 : 36 : 18 = 4 : 6 : 3