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 could be the minimum percentage of employees who earn less than ₹8000 per month?

Options

A. `77%`
B. `14%`
C. `56%`
D. Can't be determined

Answer

To solve the problem step by step, we will analyze the information given about the employees in the office.

### Step 1: Determine the total number of employees.
Assuming the total number of employees in the office is 100 (this makes calculations easier).

### Step 2: Calculate the number of female employees.
Given that 30% of the employees are female:
\[ \text{Number of female employees} = 30\% \text{ of } 100 = 30 \]

### Step 3: Calculate the number of male employees.
Since the total number of employees is 100, the number of male employees is:
\[ \text{Number of male employees} = 100 - 30 = 70 \]

### Step 4: Calculate the number of female employees earning more than Rs. 8,000.
30% of female employees earn greater than Rs. 8,000:
\[ \text{Number of females earning > 8000} = 30\% \text{ of } 30 = 0.3 \times 30 = 9 \]

### Step 5: Calculate the number of female employees earning less than Rs. 8,000.
The remaining female employees earn less than Rs. 8,000:
\[ \text{Number of females earning < 8000} = 30 - 9 = 21 \]

### Step 6: Calculate the number of male employees earning less than Rs. 8,000.
80% of male employees earn less than Rs. 8,000:
\[ \text{Number of males earning < 8000} = 80\% \text{ of } 70 = 0.8 \times 70 = 56 \]

### Step 7: Calculate the total number of employees earning less than Rs. 8,000.
Now, we add the number of female and male employees earning less than Rs. 8,000:
\[ \text{Total earning < 8000} = 21 + 56 = 77 \]

### Step 8: Calculate the percentage of employees earning less than Rs. 8,000.
To find the percentage of employees earning less than Rs. 8,000:
\[ \text{Percentage earning < 8000} = \left(\frac{77}{100}\right) \times 100 = 77\% \]

### Final Answer:
The minimum percentage of employees who earn less than Rs. 8,000 per month is **77%**.

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