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  1. In an examination there were 640 boys and 360 girls. 60% of boys and 80% of girls were successful. The percentage of failure was :
    1. 20%
    2. 60%
    3. 30.5%
    4. 32.8%
Correct Option: D

Total number of students = 640 + 360 = 1000
Number of successful boys = 60% of 640 = 384
Number of successful girls = 80% of 360 = 288
Total number of successful students = 384 + 288 = 672
Number of unsuccessful students = 1000 – 672 = 328
∴ Required percentage

=
328 × 100
= 32.8%
1000

Aliter : Using Rule 25,
B = 640, G = 360,
b = 60%, g = 80%
Percentage of passed students
=
B.b + G.g
%
B + G

=
640 × 60 + 360 × 80
640 + 360

=
38400 + 28800
1000

=
67200
= 67.2%
1000

∴ % of failed students
= 100 – 67.2% = 32.8%



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