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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 $