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  1. A number is increased by 20% and then again by 20%. By what per cent should the increased number be reduced so as to get back the original number ?
    1. 30
      5
      %
      9
    2. 19
      11
      %
      31
    3. 40%
    4. 44%
Correct Option: A

Let the number be 100.
After 20% increase, number = 120
After 20% increase of 120, number

= 120 ×
120
= 144
100

∴ Per cent decrease
=
44
× 100
144

=
275
= 30
5
%
99

Aliter : Using Rule 7 and Rule 8,
Increase %
=20 + 20 +
20 × 20
% = 44%
100

Required %
=
44
× 100%
100 + 44

=
4400
%
144

=
275
% = 30
5
%
99



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