HSC Commerce 12th Board ExamMaharashtra State Board
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# 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. - HSC Commerce 12th Board Exam - Mathematics and Statistics

#### 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

2014-2015 (March) (with solutions)
Question 4.1 | 2.00 marks

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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.
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