The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders then the percentage of students who do not get the scholarship is


A) 78%

B) 75%

C) 60%

D) 55%

Correct Answer:
A) 78%

Description for Correct answer:
Let number of boys be 300.

Number of girls = 200

Boys holding scholarship = \( \Large \frac{20}{100} \times 300 \) = 60

Girls holding scholarship = \( \Large \frac{25}{100} \times 200 \) = 50

Total students holding scholarship = 60 + 50 = 110

Therefore. Percentage of students not holding scholarship

= \( \Large \frac{500 - 110}{500} \times 100\% \)

= \( \Large \frac{390}{500} \times 100\% \) = 78%

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