In class X, there are two sections in the school. In section A there are 40 students and in section B there are 60 students. The pass percentages of sections A and B are 70% and 60%. The pass percentage of the whole class will be:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 64%
The pass percentage of the whole class is the total number of students who passed out of the total number of students, so first find how many passed in each section.
Passed in section A: 70% of 40 = 28
Passed in section B: 60% of 60 = 36
Passed in the class: 28 + 36 = 64 out of 40 + 60 = 100 students, that is, 64%
Tip: The answer is not the plain average of 70% and 60% (65%). Section B is bigger, so its lower percentage weighs more and pulls the class figure below 65%.