Question

The price of sugar is increased by $20\%$. If the expenditure on sugar has to be kept the same as earlier, the ratio between the reduction in consumption and the original consumption is:

• A. $1:3$
• B. $1:4$
• C. $1:6$
• D. $1:5$

Answer 1

The correct option is C $1:6$

$a+b+\frac{ab}{100}=0$ (as the expenditure has to be same)

$20+b+\frac{20b}{100}=0$

$⟹1.2b=-20⟹b=\frac{-20}{1.2}=\frac{50}{3}$

Reduction in quantity of sugar (in percentage) $=\frac{50}{3}$

Original Consumption = $100$ units or $100$

Desired Ratio = $\left(\frac{50}{3}\right)\left(\frac{1}{100}\right)=\frac{1}{6}=1:6$