Question

Class $B$ has $50$% more students than class $A$. Number of girls in class $A$ is equal to number of boys in class $B$. The percentage of the student group which are boys is

• A. $30$%
• B. $40$%
• C. $25$%
• D. $33.33$%

Answer 1

The correct option is B $40$%

Let number of girls in class $A$ be $x$
and number of boys in class $A$ be $y.$
$\therefore$ Total number of students in class $A$ is $x+y$

Number of boys in class $B=x$
Total number of students in class $B$ is $1.5(x+y)$

Percentage of boys in the student group $=\frac{x+y}{2.5(x+y)}\times 100=40\%$