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 ?
Answers
Answer:
The percentage by which the new price must be decreased to obtain the original price is 25%.
Step-by-step explanation:
Let the price of the article = $100
It is given that, the price of the article is increased by 25%.
That is, the new price is increased by 25% of $100 = $25
Thus, the new price = $100 + $25 = $125
Now, it is required to decrease this new price in order to obtain the original price of $100.
As, we have that,
100 = 125 - 25
So, deceasing $125 by $25 gives us the original price.
Thus, the percentage by which the new price must be decreased to obtain the original price is 25%.
Answer:
Step-by-step explanation:
Let the initial price of the television be 100
According to the question: If the price of the television is increased by 25%
Then the new price = 100 + (25/100)× 100 = 125
Now if the new price of the television is decreased to the original price. then the percentage decrease = (25/125)× 100 = 20%
∴ Required percentage = 20%
0r
If the price of the commodity increases or decreases by r% then the reduction in consumption so as to not increase or decrease the expenditure is (100/(100±)) %
=> (100*25/(100+25)
=> 2500/125
=> 20%