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.A, B, and C do certain investments for time periods in the ratio of 2: 3: 5.  At the end of the business term, they received the profits in the ratio of 3: 4: 2. Find the ratio of investments of time periods  A, B, and C.


1. 5 ∶ 3 ∶ 15
2. 3 ∶ 3 ∶ 15
3. 2 ∶ 4 ∶ 15
4. 45 ∶ 40 ∶ 12 
5. None of these

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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.

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