The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students do NOT get scholarship?

Correct option is D

Given:

The ratio of the numbers of boys and girls = 3 : 2 

And 20% of boys and 25% of girls are scholarship holders .

Solution:

Let the number of boys  = 300 

and the numbers of the girls = 200 

According to the question 

20% of the boys get scholarship means 80% of boys do not get scholarship 

The number of boys who do not get scholarship = 80% of 300 = $$300 \times 80\% = 240$$ 

25% of the girls are get scholarship means 75% of girls don't get scholarship 

The number of girls who don't get = 75% of 200 = 150 

Total number of students who don't get scholarship = 240 + 150 = 390 

Percentage of students who don't get scholarship = $$\frac{390}{500}\times100\% = 78 \%$$​​

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