Latest Elitmus Aptitude Question SOLUTION: the ratio of no of boys and girls in a school was 5:3.some new boys and girls were admitted to the school in the ratio 5:7.at this the total no of students in the school became 120

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(#M40164026) ELITMUS Numerical Ability question Keep an EYE

the ratio of no of boys and girls in a school was 5:3.some new boys and girls were admitted to the school in the ratio 5:7.at this the total no of students in the school became 1200,and the ratio of boys to girls changed to 7:5.the no of students in the school before new admissions were how much?

Asked In Elitmus Sniper (7 years ago)

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Manoj kumar  (6 years ago)

suppose initially no. of students are x
then no of boys = 5x/8
no of girls = 3x/8

suppose y new students added
new no of boys 5y/12
new no of girls = 7y/12

new ratio is given 7:5
so
total no of boys / total no of girls = (5x/8+5y/12) / (3x/8+7y/12) = 7/5
after solving this we get x-4y=0
given as x+y=1200
x=960
new students y= 240 ans

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Digesh Singh Bisht  (2 years ago)

Ratio of
Boys : Girls
5a : 3a (initial students)..(i)
5x : 7x (new joining).......(ii)
....................
700 500 (total students)
...................
so ,5a+5x=700 and3a + 7x= 500
here we get a=6x
so put value of a in ...(i)
30x:18x......(iii)
so boys are 30x+5x(new joining)=35x=700 ....x=20
now put x in (iii) we get initial students= 48*20=960 students.

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