A certain amount was divided between A and B in the ratio 7:9. If B's share was ₹7200, then the share of A is:

Options

A. ₹1280
B. ₹6300
C. ₹5600
D. ₹12800

Answer

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

1. **Understand the ratio**: The amount is divided between A and B in the ratio 7:9. This means that for every 7 parts A receives, B receives 9 parts.

2. **Define the shares**: Let the common factor be \( k \). Therefore, A's share can be represented as \( 7k \) and B's share as \( 9k \).

3. **Use the information given**: We know that B's share is ₹7200. So we can set up the equation:
\[ 9k = 7200 \]

4. **Solve for \( k \)**: To find the value of \( k \), we divide both sides of the equation by 9:
\[ k = \frac{7200}{9} \]
\[ k = 800 \]

5. **Calculate A's share**: Now that we have the value of \( k \), we can find A's share:
\[ A's\ share = 7k = 7 \times 800 = 5600 \]

6. **Final answer**: Therefore, A's share is ₹5600.

### Summary of the solution:
- A's share = ₹5600