The ratio of the investments of A, B and C is 5:6:7. If they share the profit in the ratio 5:9:14, find the ratio of their periods of investment.
Hello,
The ratio of Profit is, 5 : 9 : 14
So, P1 : P2 : P3 = 5 : 9 : 14
Also, ratio of investments is 5 : 6 : 7
So, X1 : X2 : X3 = 5 : 6 : 7
Now, we have to find the ratio of their period of investments.
So, T1 : T2 : T3 = P1/X1 : P2/X2 : P3/X3
So, T1 : T2 : T3 = 5/5 : 9/6 : 14/7
So, T1 : T2 : T3 = 1 : 1.5 : 2
Or T1 : T2 : T3 = 2 : 3 : 4
So, the ratio of period of investments is 2 : 3 : 4
Best Wishes.