Number of students in 4th and 5th class in the ratio 6:11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys ?

Options

A. `62.5%`
B. `54.8%`
C. `52.6%`
D. `55.8%`

Answer

B

Explanation

(b) Boys in class `4=(60)/(100)xx6x=(360x)/(100)`
Boys in class `5=(52)/(100)xx11x=(572x)/(100)`
So total boys `=(360x)/(100)+(572x)/(100)=(932x)/(100)=9.32x`
% of boys `=(9.32x)/(17x)xx100=54.8%`