There are 150 students in a class and 60% of them are girls. 60% of the girls in the class have not studied Math. Taking the class as a whole, 50% of the students have not studied Math. What percentage of boys in the class have studied Math?
Explanation:
Given, total number of students = 150
Number of girls who have not studied Math = 60% of 60% of 150 = 54.
Total number of students who have not studied Math = 50% of 150 = 75.
∴ Number of boys who have not studied Math = 75 – 54 = 21.
Total number of boys = 40% of 150 = 60.
∴ percentage of boys who have studied Math = (60 - 21)/60 × 100 = 65%
Hence, option (a).
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