The ratio of the number of boys and girls in school at 8 : 12. If 50% of boys and 25% of girls are getting scholarship for their studies, what is the percentage of school students who are not getting any scholarships ?

Answer: Option A

Let the number of boys is = 8x
Number of girls = 12x
Boys are not getting scholarship
= 8x × $$\frac{1}{2}$$ = 4x
Girls are not getting scholarship
= 12x × $$\frac{3}{4}$$ = 9x
% of students not getting scholarship
= $$\frac{(4x+9x)}{20x}$$   × 100
= 65%