There are 100 students in a class, out of which 70% are girls and others are boys. The average score of girls in a test is 20% more than that of boys. If the average score of all the students is 57, then what is the average score of boys?
A.45
B.75
C.50✓ Correct
D.60
Explanation
Girls = 70, boys = 30. Girls' avg = (6/5)×boys' avg. Setting up: (70×(6x/5) + 30x)/100 = 57 → (84x + 30x)/100 = 57 → 114x = 5700 → x = 50. Boys' average score is 50.
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