The price of sugar is decreased by 30%. Find by how much percent a man should increases his consumption so that the expenditure remains same?

42\(\frac{6}{7}\)%

30% = \(\frac{3}{10}\)

Price ratio:         10    :    7

Consumption:     7    :    10        ⇒ 3 (increased by)

Hence,

Increased percentage = \(\frac{3}{7}\) × 100% = 42\(\frac{6}{7}\)%