Question 3.

The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers received 20% salary increase while the salary of the engineers remained unchanged, the average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the engineers is

A
B
C
D
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Text Explanation
Let the average salary of managers be $x$ and let the average salary of engineers be $y$. The total salary of all the employees will be $(5+25)*60000 = 1800000$
We have, $5x+25y = 1800000$ .... (1)
If the average salary of all the employees increases by $5\%$, the total salary of all the employees will also increase by $5\%$, because the total number of employees remains the same. The new total salary will be, $1800000\times 1.05 = 1890000$
Also, the average salary of all the managers has increased by $20\%$ and has become $1.2x$, we have
$5*1.2x + 25y = 1890000$,  or  $6x + 25y  = 1890000$ .... (2)
Subtracting equation (1) from equation (2), we get,
$x = 90000$
Which gives $25y = 1800000 - 90000*5$  or  $y = \dfrac{1350000}{25} = 54000$
Therefore, the correct answer is option C.
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