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  1. In two successive years, 80 and 60 students of a school appeared at the final examination of which 60% and 80% passed respectively. The average rate of students passed (in percent) is
    1. 68%
    2. 68
      4
      %
      7
    3. 70%
    4. 72
      3
      %
      7
Correct Option: B

Total examiners = 80 + 60 = 140
Total successful examiners

=
80 × 60
+
60 × 80
100100

= 48 + 48 = 96.
∴ Required percent
=
96
× 100
140

=
480
= 68
4
%
77

Aliter : Using Rule 25,
Let us take B = 80, G = 60 and b = 60%, g = 80%
∴ Percentage of passed candidates
=
B.b + G.g
%
B + G

=
80 × 60 + 60 × 80
%
80 + 60

=
9600
140

=
480
= 68
4
%
77



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