The average weight of some students in a group is 58 kg. If 8 students of average weight 54 kg leave the group, and 3 students weighting 53.6 kg, 54 kg, and 57.4 kg join the group then the average weight of the remaining students in the group will increase by 575 gm. The number of students, initially. in the group is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 45.
Let's assume the total number of students = x
So, the total weight of the student = 58x
According to the question,
58x - 267 = 58.575x - 292.875
0.575x = 25.875
x = 45