Question : In a school, 60% of the students are boys and the rest are girls. If 20% of the number of boys failed and 65% of the number of girls passed the examination, then the percentage of the total number of students who passed is:
Option 1: 68
Option 2: 72
Option 3: 74
Option 4: 78
Correct Answer: 74
Solution :
Given: In a school, 60% of the students are boys and the rest are girls.
20% of the number of boys failed and 65% of the number of girls passed the examination.
Let the total number of students be 100
The number of boys = $\frac{60}{100}\times 100$ = 60
The number of girls = 100 – 60 = 40
The number of boys who passed the examination $=\frac{80}{100}\times 60 = 48$
The number of girls who passed the examination $=\frac{65}{100}\times 40 = 26$
The total number of students who passed = 48 + 26 = 74
The percentage of the total number of students who passed = $\frac{74}{100}\times 100$ = 74%
Hence, the correct answer is 74.
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