The average score of a class of 60 students in an examination is 43. If the average score of the students who passed is 52 and that of those who failed is 16, then what is the percentage of failed students?
A25% ✓ Correct
B28%
C30%
D20%
Correct answer: (A) 25%
Explanation
25% of the students failed.
Let failed = f, passed = 60 - f.
52(60 - f) + 16f = 43 x 60 = 2580.
3120 - 36f = 2580, so f = 15.
Percentage failed = 15 / 60 x 100 = 25%.
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