Question

The ratio of number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, find the percentage of students who are not scholarship holders.

Answer 1

 

Let the total number comman multiple be 'x'
No of boys = 3x
No of girls = 2x
Total number of students = 3x + 2x = 5x

No of boys who are not scholarship holder `=80/100xx3x=(12x)/5`

No of boys who are not scholarship holder `=70/100xx2x=(7x)/5`

Total No of student who are not scholarship holder `=(12x)/5+(7x)/5=(19x)/5`

Percentage No of student who are not scholarship holder `=((19x)/5)/(5x)xx100=((19x)/(25x))xx100=76%`

76% students are not scholarship holders