The price of sugar is increased by 16\(\frac{2}{3}\)% and the consumption of a family decreased by 20%.  Find the percentage of change in the expenditure of that family.

6\(\frac{2}{3}\)% decrease

                         Original    :    Changed

Price              =      6         :        7                (16\(\frac{2}{3}\)% = \(\frac{1}{6}\))

Consumption =     5          :        4                (20% = \(\frac{1}{5}\))

Expenditure  =     30         :       28

Expenditure  =     15         :       14         Diff. = -1

⇒ Expenditure decreased by = \(\frac{1}{15}\) = 6\(\frac{2}{3}\)%