The price of rice is decreased by 8\(\frac{1}{3}\)%. Find by how much percent a man should increases his consumption so that the expenditure remains same?

9\(\frac{1}{11}\)%

Price × Consumption = Expenditure

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

Therefore,

8\(\frac{1}{3}\)% = \(\frac{1}{12}\)

Price ratio:         12    :   11

Consumption:     11    :   12   ⇒ 1 (increased by)

Hence,

Increased percentage = \(\frac{1}{11}\) × 100% = 9\(\frac{1}{11}\)%