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  1. In an examination, 1100 boys and 900 girls appeared. 50% of the boys and 40% of the girls passed the examination. The percentage of candidates who failed
    1. 45%
    2. 45.5%
    3. 50%
    4. 54·5%
Correct Option: D

Failed candidates

=
1100 × 50
+
900 × 60
100100

= 550 + 540 = 1090
∴ Required percentage
=
1090
× 100 = 54.5%
2000

Aliter : Using Rule 25,
B = 1100, b = 50%, G = 900, g = 40%
Percentage of failed candidates
=
Bb + Gg
%
B + G

=
1100 × 50 + 900 × 40
1100 + 900

=
55000 + 36000
2000

=
91
= 45.5%
2



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