The average salary of a group of 12 employees in an institution is ₹3,950 per month and that of another group of employees is ₹1,850. If the average salary of all employees is ₹2,150, then the total number of employees is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 84.
Let the number of employees in the second group be x
So, Total number of employees = 12 + x
Total salary of the first group: 3950 × 12 = 47400
Total salary of the second group: 1850 × x = 1850x
Now,
⇒ (12 + x) × 2150 = 47400 + 1850x
⇒ 25800 + 2150x = 47400 + 1850x
⇒ 300x = 24600
⇒ x = 72
So,
The total number of employees = 12 + 72 = 84