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Calculate the percent discount on an item that is regularly priced at $400 andcosts $339 after 13% tax.

User Joan Triay
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1 Answer

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Percentages

It's known the current price of an item is $339 after 13% tax and some discount to be determined.

Let's get this done from end to beginning.

The final price is $339 and it has already been charged 13% tax.

If the price before tax was x, then the price after tax is:

x + 13% of x

Calculating:

x + 13/100*x

x + 0.13 x

1.13x

The final price is 113% (100% plus 13% tax) of the previous price.

We can now calculate the value of x:

x = $339 / 1.13

x = $300

This price was already discounted by a certain percent with respect to the original price. The discount was $400 - $300 = $100

The percent discount is $100 / $400 * 100 = 25%

The percent discount is 25%

User Felix Too
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