The price of sugar increased by 20%. By how much percent the consumption should be reduced so that expenditure does not change?

16\(\frac{2}{3}\)%

Price × Consumption = Expenditure

*(If expenditure remains same the price is inversely proportional to consumption)

Therefore,

20% = \(\frac{1}{5}\)

Price ratio:         5     :     6

Consumption:    6      :     5    ⇒ 1 (Reduced by)

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