Question

The price of a chair is reduced by $25$%. What is the ratio of :
i) change in price to the old price.
ii) old price to the new price

Answer 1

Let $x$ be the old price of chair.

New price $=x-\frac{25}{100}\times x=x-\frac{x}{4}=\frac{3x}{4}$

Change in price $=x-\frac{3x}{4}=\frac{x}{4}$

Therefore,

Ratio of change in price to the old price $=\frac{\left(\frac{x}{4}\right)}{x}=\frac{1}{4}=1:4$

Ratio of old price to the new price $=\frac{x}{\left(\frac{3}{4}\right)}=\frac{4}{3}=4:3$