Correct Answer - Option 4 : 45 ∶ 40 ∶ 12
Given:
The investment ratio of A, B, and C = 2: 3: 5
Profit ratio = 3: 4: 2
Concept used:
Time of investment ∝ Profit/investment
Calculation:
Let time periods investments be T1, T2, T3
The ratio of investments is A, B, and C = 2: 3: 5
The profits in the ratio = 3: 4: 2
Time period T1, T2, T3 = p1/x1: p2/x2: p3/x3
⇒ T1,T2, and T3 = 3/2, 4/3, 2/5
⇒ T1 ∶ T2 ∶ T3 = 45 ∶ 40 ∶ 12
∴ Ratio of investment is 45 ∶ 40 ∶ 12.