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In a college 72% of students are boys and rest are girls out of total boys 25% are scholarship holder and out of total girls 10% are scholarship holders. If the difference between the number of boy scholarship holder and girl scholarship holder is 608 then find the total number of students getting 30% fee concession if it is given that 75% of these not getting scholarship gave 70% fee of actual fee.
1. 2344
2. 6732
3. 2376
4. 3267

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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

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