A certain amount of money is divided between A and B in the ratio of 5:6. If B gets Rs. 360 the amount is
कोई धन राशि A और B के बीच 5:6 के अनुपात में वितरित की जाती हैं यदि B को य0 360 मिले तो धन राशि क्या थी?

Options

A. 660
B. 560
C. 680
D. 580

Explanation

To solve the problem of dividing a certain amount of money between A and B in the ratio of 5:6, where B receives Rs. 360, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of A to B is given as 5:6. This means for every 5 parts A receives, B receives 6 parts.

2. **Define the Parts**: Let the common multiplier for the ratio be represented as \( x \). Therefore, the amounts received by A and B can be expressed as:
- Amount received by A = \( 5x \)
- Amount received by B = \( 6x \)

3. **Set Up the Equation**: We know that B receives Rs. 360. Therefore, we can set up the equation:
\[ 6x = 360 \]

4. **Solve for \( x \)**: To find the value of \( x \), divide both sides of the equation by 6:
\[ x = \frac{360}{6} = 60 \]

5. **Calculate the Total Amount**: Now that we have the value of \( x \), we can find the total amount of money distributed between A and B. The total amount is the sum of the amounts received by A and B:
\[ \text{Total Amount} = 5x + 6x = 11x \]

6. **Substitute \( x \) into the Total Amount**: Now substitute the value of \( x \) into the total amount equation:
\[ \text{Total Amount} = 11 \times 60 = 660 \]

7. **Conclusion**: Therefore, the total amount of money that was divided between A and B is Rs. 660.