Correct Answer - Option 4 : 1 ∶ 2 ∶ 4
Given∶
A, B and C invested Rs. 7200, 8400 and 9600 respectively.
If the ratio of their profit earned is 3 ∶ 7 ∶ 16.
Calculation∶
Let the time for which A invested its capital = x years
The time for which B invested its capital = y years
The time for which C invested its capital = Z years
A’s profit = (share × Time)A = 7200 × x
B’s profit = (share × Time)B = 8400 × y
C’s profit = (share × Time)C = 9600 × z
Ratio of profits = 6x ∶ 7y ∶ 8z ---(1)
The ratio of their profits is given in the question = 3 ∶ 7 ∶ 16 ---(2)
On equating the above ratios we get x ∶ y ∶ z = 1 ∶ 2 ∶ 4
