The average marks of boys in class is 52 and that of girls is 42.

Question

The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

Accepted Answer

Let boys $=x$, girls $=y$: $52x+42y=50(x+y) \implies 2x=8y \implies \dfrac xy=4$

$$\frac{x}{x+y}\times100 = \frac45\times100 = 80\%$$

Solutions · 1