- 50%
- 40%
- 60%
- 45%
- 55%

Option 1 : 50%

**Given:**

Ratio of investment of A and B = 3 : 1

All of A, B and C share the profits equally

**Concept used:**

Profit is directly proportional to product of amount invested and time period of investment

**Calculation:**

Let the investment of A and B be 3y and y respectively

Time period of investment of A = x months

Time period of B = 12 months

Time period of C = (12 – x) months

Now, According to the question,

(3y × x) : (y × 12) = 1 : 1

⇒ 3x : 12 = 1 : 1

⇒ x : 4 = 1

⇒ x = 4 months

Time period of C = (12 – 4) months

⇒ 8 months

Now, if total profit is same, then investment will be inversely proportional to the time period

So, Ratio of investment of A and C = 8 : 4

Required percentage = (4/8) × 100

⇒ 50%

**∴ Required percentage is 50%**

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