SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

The ratio of the number of boys to that of girls in a school is 4 : 1 If 75% of boys and 70% of the girls are scholarship holders, then the percentage of students who do not get scholarship is

A) 50

B) 28

C) 75

D) 26

Correct Answer: D

Solution :

Let the number of boys and girls be 4x and st respectively.

\[\therefore \] Number of boys who hold scholarship

\[=\frac{75}{100}\times 4x=3x\]and number of girls who hold scholarship.

\[\therefore \] Number of students who do not hold scholarship

\[=5x-3x-\frac{7x}{10}=2x-\frac{7x}{10}\]

\[=\frac{20x-7x}{10}=\frac{13x}{10}\]

\[\therefore \]The required percentage \[=\frac{\frac{13x}{10x}}{5x}\times 100\]

\[=\frac{13x}{10\times 5x}\times 100=26\]