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

Given :

The  price of a chair is reduced by 25%.

To find :

We have to find the ratio of

(i) Change in price to the old price (ii) Old price to the new price.

Solution :

Let the old price of chair be 100 ₹.

The  price of a chair is reduced by 25%.

$Reduced price = \frac{25}{100} \times 100 $

Reduced price = 25₹

Ratio of change in price to old price $ = 25 : 100 $

                                                                         $ = 1 : 4$         $(25 \times 4 = 100)$

$New price  = Old price - Reduced price$

                    $ = 100 - 25 = 75$

Ratio of Old price to new price $= 100 : 75 $

                                                         $ = 4 : 3$      $(25 \times 4 = 100 ; 25 \times 3 = 75)$

Ratio of change in price to old price  is  $ 1 : 4 $

Ratio of Old price to new price is $ 4 : 3 $