Question

The original price of a television is reduced by 25%.
This new price is then increased by 25%.
Calculate the price of the television now as a percentage of the original price.​

Answer 1

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✔️ Question:-

The original price of a television is reduced by 25%.

This new price is then increased by 25%.

Calculate the price of the television now as a percentage of the original price.

✔️ 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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