Question : The average salary of all the employees in an organization is Rs. 10000. The average salary of 10 technicians is Rs. 8000 and the average salary of the rest is Rs. 14000. The total number of employees in the organization is:
Option 1: 21
Option 2: 18
Option 3: 15
Option 4: 12
Correct Answer: 15
Solution :
Let the total number of employees as E and the number of non-technician employees as N.
The total salary paid to all employees is E × 10000. The total salary paid to the technicians is 10 × 8000, and the total salary paid to the non-technicians is N × 14000.
Since the total salary paid to all employees is the sum of the total salaries paid to the technicians and non-technicians.
⇒ E × 10000 = 10 × 8000 + N × 14000
Given that the number of non-technician employees is (E – 10).
So, E × 10000 = 10 × 8000 + (E – 10) × 14000
⇒ 4000 × E = 60000
⇒ E = 15
Hence, the correct answer is 15.
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