A stereo is marked down $75. If this is a 15% decrease, how do you find the sale price?

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Answer 1 · 2016-11-30T03:17:40

The Sales Price is $425

First, we need to find the original price or: 15% of what is $75

"Percent" or "%" means "out of 100" or "per 100", Therefore 15% can be written as $\frac{15}{100}$ $15/100$ .

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for, or "what", $n$ $n$ .

Putting this altogether we can write this equation and solve for $n$ $n$ while keeping the equation balanced:

$\frac{15}{100} \times n = $ 75$ $15/100 xx n = $75$

$\frac{100}{15} \cdot \frac{15}{100} \times n = \frac{100}{15} \cdot $ 75$ $100/15 * 15/100 xx n = 100/15 * $75$

$cancel(100)/cancel(15) * cancel(15)/cancel(100) xx n = ($7500)/15$

$n = $500$

Now that we know the original price we can subtract the discount or mark down from it.

So, the Sales Price $= $500 - $75 = $425$