A invested Rs 4000 and B invested Rs 1000 more than A. After eight months 'C' invested Rs 3000. If at the end of the year C gets profit of Rs 700 , then find the total profit .

Options

A. A)Rs 7000
B. B)Rs 8400
C. C)Rs 5600
D. D)Rs 8800

Answer

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

### Step 1: Identify the investments of A, B, and C.
- A invested Rs 4000.
- B invested Rs 1000 more than A, which means B invested Rs 4000 + Rs 1000 = Rs 5000.
- C invested Rs 3000.

### Step 2: Determine the time of investment for each person.
- A invested for 12 months (1 year).
- B also invested for 12 months (1 year).
- C invested for 4 months (since he invested at the end of 8 months).

### Step 3: Calculate the effective investment for each person.
To find the effective investment, we multiply the amount invested by the time (in months):
- A's effective investment = Rs 4000 * 12 = Rs 48000.
- B's effective investment = Rs 5000 * 12 = Rs 60000.
- C's effective investment = Rs 3000 * 4 = Rs 12000.

### Step 4: Find the ratio of their effective investments.
Now we can find the ratio of their effective investments:
- A : B : C = 48000 : 60000 : 12000.
- To simplify, we can divide each term by 12000:
- A = 48000 / 12000 = 4,
- B = 60000 / 12000 = 5,
- C = 12000 / 12000 = 1.

Thus, the ratio of their effective investments is 4 : 5 : 1.

### Step 5: Determine the profit shares based on the ratio.
Let the total profit be represented in units based on the ratio:
- A gets 4 units,
- B gets 5 units,
- C gets 1 unit.

### Step 6: Calculate the total units.
Total units = 4 + 5 + 1 = 10 units.

### Step 7: Find the value of each unit.
We know that C receives a profit of Rs 700, which corresponds to 1 unit. Therefore, the value of 1 unit is Rs 700.

### Step 8: Calculate the total profit.
Total profit = Total units * Value of each unit = 10 units * Rs 700 = Rs 7000.

### Final Answer:
The total profit is Rs 7000.

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