A and B together start a business by investing in the ratio of `4:3`.If 9% of the total profit goest to charity and A's share is X 1196, find the total profit.

Options

A. X 2300
B. X 4435
C. X 2093
D. X 2700

Answer

To solve the problem step by step, we will follow the information provided in the question and the video transcript.

### Step-by-Step Solution:

1. **Understand the Investment Ratio**:
A and B invest in the ratio of 4:3. This means that for every 4 parts A invests, B invests 3 parts.

2. **Determine the Total Parts**:
The total parts of investment = 4 (A's part) + 3 (B's part) = 7 parts.

3. **Calculate the Share of A**:
A's share of the profit will be proportional to his investment. Since A's investment is 4 parts out of 7, we can express A's share of the profit as:
\[ \text{A's Share} = \frac{4}{7} \times \text{Remaining Profit} \]

4. **Account for Charity**:
According to the problem, 9% of the total profit goes to charity. Therefore, the remaining profit after charity is:
\[ \text{Remaining Profit} = \text{Total Profit} - \text{Charity} \]
The charity amount is 9% of the total profit, which can be expressed as:
\[ \text{Charity} = \frac{9}{100} \times \text{Total Profit} \]
Thus, the remaining profit becomes:
\[ \text{Remaining Profit} = \text{Total Profit} - \frac{9}{100} \times \text{Total Profit} = \frac{91}{100} \times \text{Total Profit} \]

5. **Express A's Share in Terms of Total Profit**:
Substituting the remaining profit into A's share formula gives us:
\[ \text{A's Share} = \frac{4}{7} \times \left(\frac{91}{100} \times \text{Total Profit}\right) \]
This simplifies to:
\[ \text{A's Share} = \frac{364}{700} \times \text{Total Profit} \]

6. **Set Up the Equation**:
We know from the problem that A's share is 1196. Therefore, we can set up the equation:
\[ \frac{364}{700} \times \text{Total Profit} = 1196 \]

7. **Solve for Total Profit**:
To find the Total Profit, we can rearrange the equation:
\[ \text{Total Profit} = 1196 \times \frac{700}{364} \]
Now calculate this:
\[ \text{Total Profit} = 1196 \times \frac{700}{364} = 1196 \times 1.922 = 2300 \]

### Final Answer:
The total profit is **2300**.