Correct Answer - Option 3 : 2376
Given:
Total number of boys = 72%
Total number of girls = 28%
Difference between scholarship holder boys and girls = 608
Calculation:
Let total number of students be 1000x
⇒ Total number of boys = 72/100 × 1000x
⇒ 720x
⇒ Total number of girls = 28/100 × 1000x
⇒ 280x
25% of boys are scholarship holder
⇒ Total number of scholarship holder boys = 25/100 × 720x
⇒ 180x ----(1)
10% of girls are scholarship holder
⇒ Total number of scholarship holder girls = 10/100 × 280x
⇒ 28x ----(2)
According to question
Difference between scholarship holder boys and girls = 608
⇒ 180x – 28x = 608
⇒ 152x = 608
⇒ x = 4
Total number of students = 1000x = 1000 × 4
⇒ 4000
Total number of students not getting scholarship = 4000 – (180 × 4 + 28 × 4)
⇒ 3168
Total number of students getting 30% fee concession = 3168 × 75/100
⇒ 2376
∴ Number of students getting 30% fee concession is 2376