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  1. Price of a commodity has increased by 60%. By what percent must a consumer reduce the consumption of the commodity so as not to increase the expenditure ?
    1. 37%
    2. 37.5%
    3. 40.5%
    4. 60%
Correct Option: B

If the reduction in consumption be x%, then

60 - x -
60x
= 0
100

⇒ 60 - x -
3x
= 0
5

⇒ 300 - 5x - 3x = 0
⇒ 8x = 300
⇒ x =
300
= 37.5%
8

Aliter : Using Rule 8,
Required percentage
=
60
× 100%
160

=
300
=
75
= 37.5%
82



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