The price of wheat is decreased by 13\(\frac{1}{3}\)%. Find by how much percent a man should increases his consumption so that the expenditure remains same?

15\(\frac{5}{13}\)%

Price × Consumption = Expenditure

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

Therefore,

13\(\frac{1}{3}\)% = \(\frac{2}{15}\)

Price ratio:         15    :   13

Consumption:     13    :   15   ⇒ 2 (increased by)

Hence,

Increased percentage = \(\frac{2}{13}\) × 100% = 15\(\frac{5}{13}\)%