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

54000

50000

40000

45000

✅ Correct Option: 1

Total salary of all 30 employees:

$= 30 \times 60{,}000 = 18{,}00{,}000$

The average increased by 5%, and the number of employees is still 30, so the total salary also increased by 5%.

Increase in total salary $= \dfrac{5}{100} \times 18{,}00{,}000 = 90{,}000$

Engineers' salaries did not change, so the entire 90,000 increase came only from the managers' 20% raise.

$20\%$ of (Managers' total salary) $= 90{,}000$

Managers' total salary $= 90{,}000 \times \dfrac{100}{20}$

$= 4{,}50{,}000$

Engineers' total salary $= 18{,}00{,}000 - 4{,}50{,}000 = 13{,}50{,}000$

Average salary of engineers $= \dfrac{13{,}50{,}000}{25} = 54{,}000$

The average salary of engineers is Rs. 54,000.

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