The price of sugar is increased by 40%. By what percentage must one cut down on the consumption of sugar so that no extra amount has to be incurred on sugar?

28.5%

Price x Consumption = Amount spend on sugar

If the amount has to kept same,

Consumption of sugar is to be decreased in reverse ratio,

we know 40% = 2/5,

⇒ increase of 40% = 7/5

                 Original   :   New

Price               5        :      7

Consumption   7        :       5

Therefore, there is decrease of $\frac{2}{7}$ x 100 = 28.5%