In an entrance examination at different centres, a total of 25, 30, 40, 45, 60 and 100 students appeared. The pass percentagesofthe different centres are 20%, 30%, 35%, 40%, 50% and 75%, respectively. The pass percentage of the entrance examination is: (correct to the nearest integer)
Answer & explanation
Correct answer: option 4
Passing students of center 1 = 25 × \(\frac{20}{100}\) = 5
Passing students of center 2 = 30 × \(\frac{30}{100}\) = 9
Passing students of center 3 = 40 × \(\frac{35}{100}\) = 14
Passing students of center 4 = 45 × \(\frac{40}{100}\) = 18
Passing students of center 5 = 60 × \(\frac{50}{100}\) = 30
Passing students of center 6 = 100 × \(\frac{75}{100}\) = 75
Number of passing students = 5 + 9 + 14 + 18 + 30 + 75 = 151
Number of students appeared = 25 + 30 + 40 + 45 + 60 + 100 = 300
Pass percentages = \(\frac{151}{300}\) × 100 = 50.33%
= 50% (approx)