#### 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.

#### Solution

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=(12)x/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

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#### APPEARS IN

Solution 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. Concept: Ratio, Proportion and Partnership.