In a school the ratio of boys and girls are in the ration 5:6. 25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?
71%
70%
78%
none of these
Explanation:
According to the question,
Boys: Girls => 5x: 6x
Total no. of students including boys and girls = 5x + 6x = 11x
25% of boys => 5x $\times$ 25/100 = 5x/4
20% of girls => 6x $\times$ 20/100 =6x/5
No. of students who are getting scholarship => 5x/4 + 6x/5 = 49x/20
No. of students who are not getting scholarship = 11x - 49x/20 = 171x/20
Hence, the percentage of students not getting scholarship => 171x/20/11x $\times$ 100
=> 100 $\times$ 171x/220x.
=> 77.7% = 78%(approx.).