In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is
Explanation:
Let the total number of students be 100x.
So, number of girls and boys are 60x and 40x respectively.
There are 30 more girls than boys ∴ 60x = 40x + 30.
∴ x = 3/2.
Number of students who passed = 68x = 68 × (3/2) = 102 out of which 30 boys passed.
So, number of girls who passed = 102 − 30 = 72
Number of girls who did not pass = 60x − 72 = 90 − 72 = 18.
Required percentage = [18/90] × 100 = 20%.
Hence, 20.
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