The average monthly salary of $20$ workers in an office is $R s . 7650$ . If the manager’s salary is added, the average salary becomes $R s . 8200$ per month. What is the manager’s salary per month?

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Solution

Step 1: Find the total salary of $20$ workers
Average monthly salary $= \frac{T o t a l s a l a r y o f w o r k e r s}{N u m b e r o f w o r k e r s}$
$7650 = \frac{T o t a l s a l a r y o f w o r k e r s}{20}$
The total salary of $20$ workers $= 7650 \times 20$
$= R s . 153000$
Step 2: Find the total salary after joining of manager.
Now, the number of persons $= 20 + 1$
$= 21$
The total salary of $21$ persons $= 21 \times 8200$
$= R s . 172200$
Step 3:Find the monthly salary of the manager.
Manager's monthly salary $= 172200 - 153000$
$= R s . 19200$
Hence, the monthly salary of manager is $R s . 19200$ .

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