the price of an article is increased by 25% by how much percent must this new value be decreased to restore
it to its former value
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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%.
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