The price of sugar is increased by 20%. By what percentage must one cut down on the consumption of sugar, so that no extra amount has to be incurred on sugar?

$16\frac{2}{3}$%

20% = \(\frac{1}{5}\) 

Ratio of ,                   Initial      :    Final

Price                            5          :     6

Consumption                 6         :       5

{  Price ∝ \(\frac{1}{Consumption}\) }

Required Percentage = \(\frac{6-5}{6}\) × 100

= \(\frac{1}{6}\) × 100  =  16\(\frac{2}{3}\) %