The table shows the percentage of students and the ratio of boys and girls in different colleges. Total students =1800 College % Students Boys : Girls A 20 4 : 5 B 18 1 : 2 C 14 4 : 3 D 22 6 : 5 E 10 2 : 3 F 16 9 : 7 In which college is the percentage difference between the number of boys and girls minimum?

SSC CGL 10 Jun 2019 Shift 2 Paper

Question : 64 of 100

Marks: +1, -0

The table shows the percentage of students and the ratio of boys and girls in different colleges. Total students

=1800

In which college is the percentage difference between the number of boys and girls minimum?

Solution:

A \→1800 \×\ {20}/{100}=360

Difference

=360 \×\ {1}/{9}=40

Percentage difference

=\ {40}/{360} \×100=11.11 \%

C \→1800 \×\ {14}/{100}=252

Difference

=252 \×\ {1}/{3}=84

Percentage difference

=\ {84}/{252} \×100=33.3 \%

D \→ 1800 \×\ {22}/{100}=396

Difference

=396 \×\ {1}/{11}=36

Percentage difference

=\ {36}/{396} \×100=9.09 \%

E \→1800 \×\ {10}/{100}=180

Difference

=180 \×\ {1}/{5}=36

Percentage difference

=\ {36}/{180} \×100=20 \%

∴ Minimum in D.

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