Divide Rs 300 among Ravi and Isha in the ratio `2:3`

Answer

To divide Rs 300 among Ravi and Isha in the ratio of 2:3, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of Ravi to Isha is given as 2:3. This means that for every 2 parts that Ravi gets, Isha gets 3 parts.

2. **Assign Variables**: Let the amount Ravi receives be represented as \(2x\) and the amount Isha receives be represented as \(3x\). Here, \(x\) is a common multiplier.

3. **Set Up the Equation**: The total amount of money to be divided is Rs 300. Therefore, we can write the equation:
\[ 2x + 3x = 300 \]

4. **Combine Like Terms**: Combine the terms on the left side of the equation:
\[ 5x = 300 \]

5. **Solve for \(x\)**: To find the value of \(x\), divide both sides of the equation by 5:
\[ x = \frac{300}{5} = 60 \]

6. **Calculate Ravi's Share**: Now that we have the value of \(x\), we can find out how much Ravi gets:
\[ \text{Ravi's share} = 2x = 2 \times 60 = 120 \]

7. **Calculate Isha's Share**: Similarly, we can find out how much Isha gets:
\[ \text{Isha's share} = 3x = 3 \times 60 = 180 \]

8. **Final Amounts**: Therefore, Ravi receives Rs 120 and Isha receives Rs 180.

### Summary of the Solution:
- Ravi's amount: Rs 120
- Isha's amount: Rs 180

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