Question

Class Q has 50% more students than class P. Number of girls in class P is equal to the number of boys in class Q. The percentage of girls is the same in both classes. What percentage of the student group are boys?

• A. 25%
• B. 32%
• C. 40%
• D. 45%
• E. None of the above

Answer 1

The correct option is C 40%

Let number of girls in class P be x and the number of boys in class P be y

Therefore, total number of students = x + y

Total number of students in Q = 1.5(x + y)

Number of boys in class Q = x

Number of boys in P and Q together = = y+x

Number of girls in P and Q together = x+[1.5(x+y)-x]=1.5(x+y)
% of boys $=\frac{x+y}{2.5(x+y)}\times 100=40\%$