Solve the following Word Problems :
In a factory the ratio of salary of skilled and unskilled workers is 5 : 3 Total salary of one day of them is Rs 720 . Find daily wages of skilled and unskilled workers .

Answer

To solve the problem, we need to find the daily wages of skilled and unskilled workers based on the given ratio and total salary.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of the salary of skilled workers to unskilled workers is given as 5:3. This means that for every 5 parts of salary that skilled workers receive, unskilled workers receive 3 parts.

2. **Define Variables**:
Let the salary of skilled workers be represented as \( 5x \) and the salary of unskilled workers be represented as \( 3x \), where \( x \) is a common multiplier.

3. **Set Up the Equation**:
According to the problem, the total salary of both skilled and unskilled workers is Rs 720. Therefore, we can write the equation:
\[ 5x + 3x = 720 \]

4. **Combine Like Terms**:
Combine the terms on the left side of the equation:
\[ 8x = 720 \]

5. **Solve for \( x \)**:
To find \( x \), divide both sides of the equation by 8:
\[ x = \frac{720}{8} = 90 \]

6. **Calculate Salaries**:
Now that we have \( x \), we can find the salaries of skilled and unskilled workers:
- Salary of skilled workers:
\[ 5x = 5 \times 90 = 450 \]
- Salary of unskilled workers:
\[ 3x = 3 \times 90 = 270 \]

7. **Conclusion**:
The daily wages of skilled workers is Rs 450, and the daily wages of unskilled workers is Rs 270.

### Final Answer:
- Daily wages of skilled workers: Rs 450
- Daily wages of unskilled workers: Rs 270