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Class 12 students scoring (i) 95% and above (total 6000) and (ii) 90–95% (total 10000) from six Delhi schools A–F, with Girls:Boys ratio.

School95%+ (%)Girls:Boys
A13%11:5
B18%5:7
C17%3:5
D8%7:1
E24%5:4
F20%5:3
School90–95% (%)Girls:Boys
A16%3:2
B6%1:4
C10%5:3
D28%2:3
E21%9:5
F19%3:4

The number of boys of schools E and F together who scored 95% and above marks is approximately what percent less than the number of girls of schools B and E together who scored between 90-95% marks?

A24
B26 ✓ Correct
C20
D22
Correct answer: (B) 26
Explanation

The boys of E and F together are about 26 percent fewer than the girls of B and E together.

Boys of E scoring 95% and above are 24 percent of 6000 times 4 over 9, that is 640.

Boys of F scoring 95% and above are 20 percent of 6000 times 3 over 8, that is 450, giving 1090 in total.

Girls of B scoring 90-95% are 6 percent of 10000 times 1 over 5, that is 120.

Girls of E scoring 90-95% are 21 percent of 10000 times 9 over 14, that is 1350, giving 1470 in total.

The difference 380 divided by 1470 times 100 is about 25.8 percent, rounded to 26.

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