In a class, 60% of the students are girls and the rest are boys. 45% of the girls pass an examination and 40% of the boys failed. If the number of girls who failed is 66, the number of boys who passed the examination is:
Answer & explanation
Correct answer: option 2
60% = \(\frac{3}{5}\) & 45% = \(\frac{9}{20}\) & 40% = \(\frac{2}{5}\)
Let Total number of students = 100x
Number of girls students = \(\frac{3}{5}\) × 100x = 60x
Number of Boys students = 100x - 60x = 40x
Number of passed Girls = \(\frac{9}{20}\) × 60x = 27x
Number of failed girls = 60x - 27x = 33x
ATQ ,
33x = 66
x = 2
Total number of students = 100 × 2 = 200
Number of failed boys = \(\frac{2}{5}\) × 40x = 16x
Passed boys = 24x = 24 × 2 = 48