A certain amount was divided between A and B in the ratio 7:9. If B's share was Rs. 7200 , the total amount was:

Options

A. Rs. 1280
B. Rs. 6300
C. Rs. 5600
D. Rs. 12800

Answer

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

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

### Step 2: Define the Shares
Let the common multiple of the ratio be represented as \( x \).
- A's share = \( 7x \)
- B's share = \( 9x \)

### Step 3: Use the Given Information
We know from the problem that B's share is Rs. 7200. Therefore, we can set up the equation:
\[ 9x = 7200 \]

### Step 4: Solve for \( x \)
To find the value of \( x \), divide both sides of the equation by 9:
\[ x = \frac{7200}{9} \]
Calculating this gives:
\[ x = 800 \]

### Step 5: Calculate A's Share
Now that we have \( x \), we can find A's share:
\[ A's \, share = 7x = 7 \times 800 = 5600 \]

### Step 6: Calculate Total Amount
Now, we can find the total amount by adding A's share and B's share:
\[ Total \, amount = A's \, share + B's \, share \]
Substituting the values we have:
\[ Total \, amount = 5600 + 7200 \]
Calculating this gives:
\[ Total \, amount = 12800 \]

### Final Answer
Thus, the total amount is Rs. 12800.

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