Question
The overall average score of a group of students is 70.
The boys have an average of 60 and the girls average 85. By what percentage is the number of boys less than the number of girls?Solution
ATQ,
Let the number of boys and girls be 'a' and 'b' respectively. (60a + 85b) ÷ (a + b) = 70 Or, 60a + 85b = 70a + 70b Or, 15b = 10a Or, a : b = 15 : 10 = 3 : 2 Required percentage = [(3 - 2)/3] × 100 = (1/3) × 100 = 33.33% less
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