In a company, the mean monthly earning of 30 employees is ₹35,000. If the mean earning of 10 junior team members is ₹25,000, find the mean monthly earning of the remaining staff.

The correct option is ₹40,000.

Step-by-step Explanation:

1. Calculate the total earnings of all 30 employees:
The formula for the total sum of earnings is:

$\text{Total Earnings}=\text{Mean Earning}\times \text{Total Number of Employees}$

Given that the mean monthly earning of 30 employees is ₹35,000:
Total earnings of 30 employees = 30 × ₹35,000 = ₹1,050,000

2. Calculate the total earnings of the 10 junior team members:
Given that the mean earning of 10 junior team members is ₹25,000:
Total earnings of 10 junior members = 10 × ₹25,000 = ₹250,000

3. Find the total earnings of the remaining staff:
The number of remaining staff members is:

$30-10=20$

Total earnings of the remaining 20 staff members = Total earnings of 30 employees - Total earnings of 10 junior members
Total earnings of remaining 20 staff = ₹1,050,000 - ₹250,000 = ₹800,000

4. Calculate the mean monthly earning of the remaining staff:
The mean monthly earning of the remaining 20 staff members is:

$\text{Mean Earning of Remaining Staff}=\frac{\text{Total Earnings of Remaining Staff}}{\text{Number of Remaining Staff}}$

$\text{Mean Earning of Remaining Staff}=\frac{\mathrm{800,000}}{20}=\text{₹40,000}$

Thus, the mean monthly earning of the remaining staff is ₹40,000.