The price of rice is increased by 14\(\frac{2}{7}\)%. Find by how much percent a man reduces his consumption so as not to increase his expenditure?

12\(\frac{1}{2}\)%

Price × Consumption = Expenditure

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

Therefore,

14\(\frac{2}{7}\)% = \(\frac{1}{7}\)

Price ratio:         7    :   8

Consumption:     8    :   7   ⇒ 1 (decreased by)

Hence,

Decreased percentage = \(\frac{1}{8}\) × 100% = 12\(\frac{1}{2}\)%