Question

The price of sugar is increased by $20\%.$ If the expenditure is not allowed to increase, the ratio between the reduction in consumption and original consumption is:

Answer 1

Let ,The rate of sugar $=Rs.100$/kg

Expenditure $=1$kg

Now,

New Rate $=Rs.120$per kg

Therefore in $Rs.100$ sugar bought $=\frac{100}{120}=\frac{5}{6}kg$

Therefore Required ratio

$\begin{array}{c}=\left(1-\frac{5}{6}\right):1-\frac{1}{6}\\ =1:16\end{array}$