In my office there are 30% female employees and 30% of these earn greater than Rs. 8,000 per month and 80% male employees earn less than Rs. 8,000 per month. What is the percentage of employees who earn more than Rs. 8,000 per month ?

Options

A. a. `30%`
B. b. 0.23
C. c. `60%`
D. d. can't be determined

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the total number of employees
Assume there are 100 employees in total (this makes calculations easier).

**Hint:** Always start with a total that simplifies your calculations.

### Step 2: Calculate the number of female employees
Given that 30% of the employees are female:
- Number of female employees = 30% of 100 = 30 employees.

**Hint:** Use the percentage formula: (Percentage/100) * Total.

### Step 3: Calculate the number of male employees
Since 30% are female, the remaining 70% are male:
- Number of male employees = 100 - 30 = 70 employees.

**Hint:** The total percentage must equal 100%. Subtract the known percentage from 100%.

### Step 4: Calculate the number of female employees earning more than Rs. 8,000
It is given that 30% of female employees earn more than Rs. 8,000:
- Number of females earning more than Rs. 8,000 = 30% of 30 = 9 employees.

**Hint:** Again, apply the percentage formula to find the number of employees in a specific category.

### Step 5: Calculate the number of male employees earning more than Rs. 8,000
It is stated that 80% of male employees earn less than Rs. 8,000, which means 20% earn more:
- Number of males earning more than Rs. 8,000 = 20% of 70 = 14 employees.

**Hint:** Use the remaining percentage to find the number of employees in the opposite category.

### Step 6: Calculate the total number of employees earning more than Rs. 8,000
Now, add the number of females and males who earn more than Rs. 8,000:
- Total employees earning more than Rs. 8,000 = 9 (females) + 14 (males) = 23 employees.

**Hint:** When combining categories, ensure you are adding the correct numbers from each group.

### Step 7: Calculate the percentage of employees earning more than Rs. 8,000
To find the percentage of employees earning more than Rs. 8,000:
- Percentage = (Number of employees earning more than Rs. 8,000 / Total employees) * 100
- Percentage = (23 / 100) * 100 = 23%.

**Hint:** Always multiply by 100 to convert a fraction to a percentage.

### Final Answer
The percentage of employees who earn more than Rs. 8,000 per month is **23%**.

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