A,Band C invests Rs 2000 Rs 3000 and Rs 4000 in a business. After one year A removed his money but B and C continued for one more year . If the net profit after 2 years be Rs 3200 then A's share in the profit is

Options

A. Rs 1000
B. Rs 600
C. Rs800
D. Rs 400

Answer

To solve the problem step by step, we will follow these steps:

### Step 1: Determine the investment duration for each partner.
- A invests Rs. 2000 for 1 year.
- B invests Rs. 3000 for 2 years.
- C invests Rs. 4000 for 2 years.

### Step 2: Calculate the effective capital contribution for each partner.
- A's effective capital = Investment × Time = 2000 × 1 = Rs. 2000
- B's effective capital = Investment × Time = 3000 × 2 = Rs. 6000
- C's effective capital = Investment × Time = 4000 × 2 = Rs. 8000

### Step 3: Find the total effective capital.
- Total effective capital = A's effective capital + B's effective capital + C's effective capital
- Total effective capital = 2000 + 6000 + 8000 = Rs. 16000

### Step 4: Find the ratio of the effective capital contributions.
- The ratio of A : B : C = 2000 : 6000 : 8000
- Simplifying this ratio gives us A : B : C = 1 : 3 : 4

### Step 5: Calculate the total profit share.
- The total profit after 2 years is Rs. 3200.
- To find A's share in the profit, we first calculate the total parts in the ratio: 1 + 3 + 4 = 8 parts.

### Step 6: Calculate A's share of the profit.
- A's share = (A's ratio part / Total ratio parts) × Total profit
- A's share = (1 / 8) × 3200 = Rs. 400

### Final Answer:
A's share in the profit is Rs. 400.

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