The average salary of 25 workers in an office is Rs. 6,000 per month. If the salary of the manager is added, the average becomes Rs. 6,200. What is the annual salary of the manager?
1,34,400
To solve the problem, we will first determine the total monthly salary of the 25 workers and then find the manager's salary using the change in average salary.
- The average salary of 25 workers is Rs. 6,000 per month. Thus, the total salary for 25 workers can be calculated as: \(Total\ Salary = Average\ Salary \times Number\ of\ Workers\)
\(= 6000 \times 25 = 150,000\) - When the manager's salary is added, the new average salary becomes Rs. 6,200 for a total of 26 people (25 workers + 1 manager). Thus, the total salary including the manager is: \(New\ Total\ Salary = New\ Average\ Salary \times Total\ Number\ of\ People\)
\(= 6200 \times 26 = 161,200\) - The manager's monthly salary is then calculated by subtracting the total salary of the 25 workers from the new total salary: \(Manager's\ Monthly\ Salary = New\ Total\ Salary - Total\ Salary\ of\ Workers\)
\(= 161,200 - 150,000 = 11,200\) - The annual salary of the manager can be calculated by multiplying the manager's monthly salary by 12: \(Annual\ Salary = Manager's\ Monthly\ Salary \times 12\)
\(= 11,200 \times 12 = 134,400\)
The correct answer is Rs. 1,34,400.
This justifies option: Rs. 1,34,400 as the correct answer, ruling out the other options since none match the computed annual salary based on the given data.
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