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.
Answer & explanation
Correct answer: option 2
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\(\frac{2}{3}\)%