Average of 6 numbers is P. One number is removed. New average is P + 5. Which number was removed?

Correct option is B

Given:
Initial average of 6 numbers = P
New average of 5 numbers = P + 5
Formula Used:
Sum of numbers = Average × Total count
Solution:
Calculate the total sum of the initial 6 numbers.
Initial sum = 6 × P = 6P
When one number is removed, 5 numbers remain. Calculate their new total sum.
New sum = 5 × (P + 5) = 5P + 25
The removed number is the difference between the initial sum and the new sum.
Removed number = 6P - (5P + 25)
Removed number = 6P - 5P - 25
Removed number = P - 25
Final Answer
So the correct answer is (b)