Question
60 percent students in a school are boys. 40 percent
boys passed in the examination. If 35 percent of total students passed the examination, then what percent of girls failed the examination?Solution
Let the total number of students in the school be 1000. Number of boys = 60% of 1000 = 600 Then, number of girls = 1000 - 600 = 400 Number of boys who failed the exam = (100 - 40)% of 600 = 360 Number of students who failed = (100 - 35)% of 1000 = 650 Then, number of girls who failed = total fail - boys who failed = 650 - 360 = 290 girls Percentage of girls who failed = (failed girls/total girls) × 100 = (290/400) × 100 ∴ Percentage of girls wo failed is 72.5%.
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