A sum of money is to be distributed between Ajay and Sanjay in the proprotion of `7:11`, respectively. Sanjay gets Rs 6000 more than Ajay. How much did Ajay get?

Options

A. Rs 3818.18
B. Rs 8400
C. Rs 10500
D. Cannot be determined

Answer

To solve the problem of how much Ajay received, we can follow these steps:

### Step 1: Define the variables
Let the amount of money Ajay receives be represented as \( 7x \) and the amount Sanjay receives be represented as \( 11x \), where \( x \) is a common multiplier.

### Step 2: Set up the equation
According to the problem, Sanjay receives Rs 6000 more than Ajay. Therefore, we can set up the equation:
\[ 11x = 7x + 6000 \]

### Step 3: Simplify the equation
Now, we will simplify the equation:
\[ 11x - 7x = 6000 \]
This simplifies to:
\[ 4x = 6000 \]

### Step 4: Solve for \( x \)
Now, we can solve for \( x \):
\[ x = \frac{6000}{4} = 1500 \]

### Step 5: Calculate Ajay's amount
Now that we have the value of \( x \), we can find out how much Ajay received:
\[ \text{Ajay's amount} = 7x = 7 \times 1500 = 10500 \]

### Conclusion
Ajay received Rs 10,500.

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