In a class, the ratio of the number of boys to that of the girls is 11∶9. 30% of the boys and 20% of the girls passed an exam. Find the percentage of students who passed the exam.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 25.5%
Explanation :
Let the number of boys and girls be 11x and 9x respectively.
Given that, Boys who passed the exam = 30% of 11x = 33x/10
Girls who passed the exam = 20% of 9x = 9x/5
Now, the toatl number of students = 11x + 9x = 20x
Total students who passed the exam = 33x/10 + 9x/5 = 51x/10
Required Percentage = {(51x/10)/20x} × 100 = 51/2 = 25.5%
Hence the required percentage of students is 25.5%