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40% students in a college are girls. 85% of boys pay fee and 92.5% girls also pay fees. If the number of students which don't pay fee is 180 and 1/2 students who pay fee get scholarship then find the students which get scholarship.

40% students in a college are girls. 85% of boys pay fee and 92.5% girls also pay fees. If the number of students which don't pay fee is 180 and 1/2 students who pay fee get scholarship then find the students which get scholarship. Correct Answer 660

Given:

40% girls and 92.5% girls pay fees

60% boys and 85% of boys pay fees

Calculation:

Let the total number of the students be 100

Number of girls = 40 

Number of girls paid fees = 92.5% of 40 = 37

Number of boys = 60 

Number of boys paid fees = 85% of 60 = 51

Number of student that didn't paid the fees = 100 - (37 + 51) = 12

And according to question,

12 = 180 

⇒ 1 = 15

So the number of students = 15 × 100 = 1500

Number of students pay fees = 15 × 88 = 1320

∴ The number of students that gets scholarship = (1/2) × 1320 = 660

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