The price of rice is increased by 20%. Find by how much percent a man reduces his consumption so as not to increase his expenditure?

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 (decreased by)

Hence,

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