If the price of a television set is increased by 25 %, then by what percentage should the new price be reduced to bring the price back to the original level?
15%
25%
20%
30%
Explanation:
Let the original price be x.
Increased price = x[1 + $\dfrac{25}{100}$] =$\dfrac{5x}{4}$
Reduction in price to bring it back to its original value
=$\dfrac{5x}{4}-x $ = x/4
% Reduction =$\dfrac{(x/4)}{(5x/4)} \times 100 $ =20%
Let the original price be x.
Increased price = x[1 + $\dfrac{25}{100}$] =$\dfrac{5x}{4}$
Reduction in price to bring it back to its original value
=$\dfrac{5x}{4}-x $ = x/4
% Reduction =$\dfrac{(x/4)}{(5x/4)} \times 100 $ =20%