Question : Rakesh runs a coaching institute having 50 faculty members. The average monthly salary of 35 faculty members is INR 37,500. What will be the average monthly salary (in INR) of the other 15 faculty members, if the average monthly salary of all the 50 faculty members is found to be INR 30,000?
Option 1: 13,000
Option 2: 13,500
Option 3: 12,500
Option 4: 12,000
Correct Answer: 12,500
Solution :
Given,
Total = 50
Average salary of 35 faculty members = INR 37,500
⇒ Total salary of 35 faculty members = 37500 × 35
= INR 13,12,500
The average of all the 50 faculty members = INR 30,000
⇒ Total salary of 50 faculty members = 30000 × 50
= INR 15,00,000
So, the total salary of 15 faculty members = Total salary of 50 faculty members - Total salary of 35 faculty members
= INR 15,00,000 – INR 13,12,500
= INR 1,87,500
= Average = $\frac{187500}{15}$
= INR 12,500
Hence, the correct answer is 12,500.
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