The price of a commodity is increased by 50%.  By what percentage must its consumption be reduced so as to keep the same expenditure on its consumption?

33\(\frac{1}{3}\)%

 Price × consumption = Total Expenditure (If constant)

 (Then increase relation between Price and consumption)

 (50% = \(\frac{1}{2}\))

                         Original          :            Changed  

Price (Ratio)     =   2                :                3

Consumption   =   3                :                2     

                             ↑________ ________↑

                                             -1

Required percentage = \(\frac{1}{3}\) × 100 = 33\(\frac{1}{3}\)%