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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 $

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