Quantitative Aptitude Ques 506

Question: The ratio of the number of boys and girls in a government-aided school is 3 : 2. 20% of the boys and 25% of the girls are not scholarship holders. The percentage of students who are scholarship holders, is [NICL (AO) 2015]

Options:

A) 70%

B) 74%

C) 78%

D) 68%

E) 72%

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Let number of boys and girls in the school be 3x and 2x respectively and 5x as the total number of students. Now number of students who are scholarship holders 80% of $ 3x+75 $ % of $ 2x $ $ =\frac{80}{100}\times 3x+\frac{75}{100}\times 2x $ $ =2.4x+1.5x=3.9 $

$ \therefore $ Required percentage $ =\frac{3.9x}{5x}\times 100=78 $ %