https://file.aiquickdraw.com/mathbot/file/1724517074174hy7d5f2x.jpg

If the average salary of the employees earning in the range of Rs. 71000 - Rs. 90000 is Rs. 84000 and that of earning more than Rs. 120000 is Rs. 150000, then find the ratio of the total salary of the employees whose salary range is Rs. 71000 - Rs. 90000 to that of earning more than Rs. 120000.

To solve the problem, we need to calculate the ratio of the total salary of the employees whose salary is in the range of Rs. 71,000 - Rs. 90,000 to that of the employees earning more than Rs. 1,20,000.

### Given Information:
1. **Percentage of employees in the range Rs. 71,000 - Rs. 90,000** = 7.6%
2. **Average salary for this group** = Rs. 84,000

3. **Percentage of employees earning more than Rs. 1,20,000** = 2.4%
4. **Average salary for this group** = Rs. 1,50,000

### Total number of employees:
Total number of employees surveyed = 4500.

### Step 1: Calculate the total number of employees in each group.
- Number of employees earning Rs. 71,000 - Rs. 90,000:
  \[
  \text{Number of employees} = \frac{7.6}{100} \times 4500 = 0.076 \times 4500 = 342
  \]

- Number of employees earning more than Rs. 1,20,000:
  \[
  \text{Number of employees} = \frac{2.4}{100} \times 4500 = 0.024 \times 4500 = 108
  \]

### Step 2: Calculate the total salary for each group.
- Total salary for employees earning Rs. 71,000 - Rs. 90,000:
  \[
  \text{Total Salary} = 342 \times 84000 = 28,728,000 \text{ Rs.}
  \]

- Total salary for employees earning more than Rs. 1,20,000:
  \[
  \text{Total Salary} = 108 \times 150000 = 16,200,000 \text{ Rs.}
  \]

### Step 3: Find the ratio of the total salary of the two groups.
\[
\text{Ratio} = \frac{28,728,000}{16,200,000} = \frac{28728}{16200} = \frac{14364}{8100} = \frac{2394}{1350} \approx \frac{798}{450} = \frac{266}{150} = \frac{133}{75}
\]
\[
\text{Final Ratio} = \frac{133}{75} = \frac{133}{75} \approx 1.77
\]

So, the ratio of the total salary of the employees whose salary range is Rs. 71,000 - Rs. 90,000 to those earning more than Rs. 1,20,000 is **133:75** or **1.77**.

---

Would you like any further details or explanations? Here are some related questions:

1. How would the ratio change if the average salary in the Rs. 71,000 - Rs. 90,000 range increased?
2. What is the impact on total salaries if the percentage of employees in the Rs. 71,000 - Rs. 90,000 range increased?
3. How would you calculate the total salary for the entire company using these groups?
4. What if the total number of employees changed—how would that affect the ratio?
5. How can this salary distribution help in strategic decisions within the company?

**Tip:** Always double-check the percentage calculations when dealing with total salary distribution problems to ensure accuracy.

Learn how to calculate the ratio of total salaries for employees earning between Rs. 71,000 - Rs. 90,000 to those earning more than Rs. 1,20,000. This problem involves statistical analysis and ratio computation based on salary data. Suitable for high school students and professionals interested in financial analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation