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Ratio and Proportion
The ratio of boys and girls in a college is 5:6.if 25% of boys and 25%of girls are scholarship holders.then what percentage of students does not get the scholarship?
Option
a) 89%
b) 78%
c) 85%
d) 65%
Read Solution (Total 9)
-
- Ratio of boys : girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
25% of girls => 6x*25/100 =3x/2
No. of students getting scholorship => 5x/4 + 3x/2 = 11x/4
No. of students does not get the scholorship = 11x - 11x/4 = 33x/4
% of students not getting scolorship => 33x/4/11x * 100
=> 100*33x/44x
= 75%
Ans : 75%
- 10 years agoHelpfull: Yes(43) No(0)
- number of boys and gals =5x n 6x
no. of student doesnt get shlship=((75/100)*5x)+((75/100)*6x)=33x/4
%=(33x/4)*(1/11x)*100=75%
**wich is nt in the option ormay be options wich r given is nt correct ** - 10 years agoHelpfull: Yes(3) No(0)
- The answer is 75%
- 9 years agoHelpfull: Yes(1) No(0)
- ratio of boys and girls= 5x : 6x
so, the total no of students = 5x+6x= 11x
now assume the percentage of no of boys and girls as 100
given 25% of boys have scholarship that means ( in 100 only 25% of boys have scholarship and the remaining 75% do not have the same logic is applied for girls also)
boys( who do not have scholarship) --> 75/100 *5x = 15x/4
girls ( who do not have scholarship) --> 75/100 * 6x= 18x/4
total no of students who do not have scholarship = 15x/4 + 18x/4 =33x/4
finally percentage of students who do not have scholarship is
33x/4/11x * 100 ---> 33x/4 * 1/11x * 100 = 75% - 9 years agoHelpfull: Yes(1) No(1)
- ans is 78%
- 10 years agoHelpfull: Yes(0) No(8)
- 75% but it is not given in the options
- 10 years agoHelpfull: Yes(0) No(0)
- 75% is the ans
- 9 years agoHelpfull: Yes(0) No(0)
- Let the no of girls=5x
no of boys =6x
total strength=5x+6x=11x
Girls who get scholarship=25%
who do not get scholarship=100-25=75%
75%(5x)=75*5x/100=15x/4
percentage of boys who don't get scholarship =75%
75%(6x)= 75*6x/100=18x/4
total no of boys and girls those who don't scholarship=33x/4
in terms of percentages=33x/4/11x8*100=75% - 9 years agoHelpfull: Yes(0) No(1)
- ans=78%
solution=100((5x*0.75)+(6x*0.8))/11x=77.7%=78% - 9 years agoHelpfull: Yes(0) No(1)
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