60 percent students in a school are boys. 40 percent of boys passed in the examination. If 35 percent of total students passed the examination, then what percent of girls failed the examination?
60 percent students in a school are boys. 40 percent of boys passed in the examination. If 35 percent of total students passed the examination, then what percent of girls failed the examination? Correct Answer 72.5
Given:
60 percent of students in a school are boys
40 percent of boys passed the examination
35 percent of total students passed the examination
Calculation:
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%.