A and B invested in the ratio of `3:2` respectively .they both invested for 6 months .if total profit is 5000 Rs, then find the profit share of B?

Options

A. A)2000 Rs
B. B)2500 Rs
C. C)2400 Rs
D. D)3000 Rs

Answer

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

### Step 1: Understand the Investment Ratio
A and B invested in the ratio of 3:2. This means if A invests 3 parts, B invests 2 parts.

### Step 2: Calculate the Effective Investment
Both A and B invested for 6 months. Therefore, we need to consider the investment in terms of "investment amount × time".

- A's effective investment = 3 (parts) × 6 (months) = 18
- B's effective investment = 2 (parts) × 6 (months) = 12

### Step 3: Determine the Total Effective Investment Ratio
Now we can express the total effective investment ratio:
- A's investment = 18
- B's investment = 12

Thus, the overall profit ratio is 18:12, which simplifies to 3:2.

### Step 4: Calculate Total Profit
The total profit is given as Rs. 5000.

### Step 5: Find the Total Number of Parts
The total number of parts in the profit sharing is the sum of the parts invested by A and B:
- Total parts = 3 (A's parts) + 2 (B's parts) = 5 parts.

### Step 6: Calculate the Value of One Part
To find the value of one part, we divide the total profit by the total number of parts:
- Value of one part = Total Profit / Total Parts = 5000 / 5 = Rs. 1000.

### Step 7: Calculate B's Profit Share
B's share is 2 parts. Therefore, B's profit share can be calculated as:
- B's Profit = Value of one part × B's parts = 1000 × 2 = Rs. 2000.

### Final Answer
B's profit share is Rs. 2000.

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