Question : A class has five sections that have 25, 30, 40, 45, and 60 students, respectively. The pass percentages of these sections are 20%, 30%, 35%, 40%, and 100% respectively. The pass percentage of the entire class is:
Option 1: 87%
Option 2: 63%
Option 3: 53%
Option 4: 79%
Correct Answer: 53%
Solution :
Total number of students = 25 + 30 + 40 + 45 + 60 = 200
Number of students pass in Section A = 25 × $\frac{20}{100}$ = 5
The number of students passed in Section B = 30 × $\frac{30}{100}$ = 9
The number of students passed in Section C = 40 × $\frac{35}{100}$ = 14
The number of students passed in Section D = 45 × $\frac{40}{100}$ = 18
The number of students passed in Section E = 60 × $\frac{100}{100}$ = 60
Total passed students count = 5 + 9 + 14 + 18 + 60 = 106
So, the pass percentage = $\frac{\text{106 }}{\text{200}}$×100 = 53%
Hence, the correct answer is 53%.
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