In an entrance examination at different centres , a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentage of the different centres are 20%, 30%, 35%, 40% and 50% and 75%, respectively. The pass percentage of the entrance examinationis : ( correct to the integer)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 2 i.e. 50%.
In an entrance examination at different centres, 25, 30, 40, 45, 60 and 100 students appeared.
Let the centres be P, Q, R, S, T, and U
Number of passing students at centres P = 25 × 20% = 5
Number of passing students at centres Q = 30 × 30% = 9
Number of passing students at centres R = 40 × 35% = 14
Number of passing students at centres S = 45 × 40% = 18
Number of passing students at centres T = 60 × 50% = 30
And,
Number of passing students at centres U = 100 × 75% = 75
Now,
The total number of passing students = 5 + 9 + 14 + 18 + 30 + 75 = 151
Total number of students appeared = 25 + 30 + 40 + 45 + 60 + 100 = 300
Thus,
Passing percentage = 151/300 × 100 = 50.33% or 50%