Question:The boys and girls in a collage are in the ratio `3 : 2`. If `20%` of the boys and `25%` of the girls are adults, the percentage of students who are not adults is :
A ``58%`
B `67.5%`
C `78%`
D `82.5%`
/114
+ Answer
C
+ ExplanationSuppose boys `= 3x` and girls `= 2x`
Not adults
`= (80/100 xx 3x) + (75/100 xx 2x)`
`= ((12x)/5 + (3x)/(2))`
`= (39x)/10.`
Required percentage
`= ((39x)/10 xx 1/(5x) xx 100)%`
`= 78%`