The price of rice is decreased by 12%. Find by how much percent a man should increases his consumption so that the expenditure remains same?

13\(\frac{7}{11}\)%

Price × Consumption = Expenditure

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

Therefore,

12% = \(\frac{3}{25}\)

Price ratio:         25    :    22

Consumption:     22   :   25   ⇒ 3 (increased by)

Hence,

Increased percentage = \(\frac{3}{22}\) × 100% = 13\(\frac{7}{11}\)%