In a class of 135 students, the number of boys is twice that of girls. One-Sixth of the boys and one-third of the girls failed in the final examination. Find the percentage of students who passed the examination.
Correct Answer : c ) 77.78%Explanation :
Let the number of girls be x
According to question:
Total number of students = 135
Total number of boys = 2x
⇒ x + 2x = 135
⇒ 3x = 135
⇒ x = number of girls = 45
Number of boys = 2x = 90
Total number of students failed in the examination = (90*1/6) + (45+1/3) = 30
Therefore, total number of students passed = 135 – 30 = 105
Thus, the required passing % = (105/135) * 100 = 77.78%
Hence, (c) is the correct answer.