SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

The ratio 01 the number of boys and girls in a school is 3 : 2. If 20% of the boys and 30% of the girls are scholarship holders, then .the percentage of students, who do not get scholarship is

A) 50

B) 72

C) 75

D) 76

Correct Answer: D

Solution :

Let the number of boys = 3x and that of girls = 2x

Number of boys who do not hold scholarship = 80% of 3x

\[=3x\times \frac{80}{100}=\frac{12x}{5}\]

Number of girls who do not hold scholarship

\[=2x\times \frac{70}{100}=\frac{14x}{10}\]

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

\[=\frac{12x}{5}+\frac{14x}{10}=\frac{24x+14x}{10}=\frac{38x}{10}\]

\[\therefore \] Required percentage

\[=\frac{\frac{38x}{10}}{5x}\times 100=\frac{38}{10\times 5}\times 100=76%\]