Question : A class is divided into two sections, with 20 students in one section and 30 students in the other. The pass percentages for these sections are 80% and 60%, respectively. What is the pass percentage for the entire class?
Option 1: 60%
Option 2: 68%
Option 3: 70%
Option 4: 78%
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Correct Answer: 68%
Solution :
The number of students who passed
= 80% of 20 + 60% of 30
= $\frac{80 × 20}{100}$ + $\frac{60 × 30}{100}$
= 16 + 18
= 34
Now, the pass percentage of the entire class
= $\frac{\text{Number of students passed}}{\text{Total students}}$ × 100
= $\frac{34}{(20 + 30)}$ × 100
= 68%
Hence, the correct answer is 68%.
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