The ratio of boys and girls in a school is 3 : 2. If 25 percent of boys and 50 percent of girls are selected for the scholarship, then the percentage of the students who are not selected for the scholarship, is: ?

Option 1 : 65 percent

The ratio of boys and girls in a school is 3 : 2.

Let the total number of students in school be 100

So, number of boys in the school = 3/5 × 100 = 60

And number of girls = 2/5 × 100 = 40

If 25 percent of boys are selected for the scholarship

Number of boys selected for scholarship = 25/100 × 60 = 15

And 50 percent of girls are selected for the scholarship

Number of girls selected for the scholarship = 50/100 × 40 = 20

Total number of students selected for the scholarship = 15 + 20 = 35

Total number of students who are not selected for the scholarship = 100 - 35 = 65

The percentage of the students who are not selected for the scholarship = 65/100 × 100 = 65%

Hence, ‘65 percent’ is the correct answer.