The ratio of the number of boys and girls in a hostel is 5 : 7. If 40% of boys and 50% of girls are getting scholarships for their studies, what is the percentage of hostel students who are not getting any scholarships?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e %.
Let boys = 5x, girls = 7x ⇒ total = 12x
Scholarships: boys = 40% of 5x = 2x; girls = 50% of 7x = 3.5x ⇒ total = 5.5x
Not getting scholarships = 12x − 5.5x = 6.5x
Percentage = (6.5/12) × 100 = 54.17% (≈ 54⅙%)