How do you give an example of the sale price of an item and the total cost including sales tax if the tax rate is 5.75% and the item is 25% off?

Question

12123 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-27T02:03:45

See a solution process below:

Example of a Problem:

Let's say there is a pair of pants which are regularly priced for $$20$ .

The store is having a 25% off sale for all items in the store.

The sales tax on all items in the store is 5.75%

How much do you need to pay for the pair of pants?

Solution to the Problem:

The formula for the cost of the item on sale is:

$c = p - (s * p)$

Where:

$c$ is the sale price of the items. What we will solve for.

$p$ is the regular price of the item. $20 for this problem.

$s$ is the sales percentage. 25% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 25% can be written as $25/100$ .

Substituting and calculating $c$ gives:

$c = $20 - (25/100 * $20)$

$c = $20 - ($500)/100$

$c = $20 - $5$

$c = $15$

Now, to find the total you would pay, with tax, we use this formula:

$t = c + (r xx c)$

Where:

$t$ is the total amount paid with tax. What we are solving for.

$c$ is the cost of the item. $$15$ from the above calculation.

$r$ is the tax rate. 5.75% for this problem. Again, "percent" or "%" means "out of 100" or "per 100", Therefore 5.75% can be written as $5.75/100$ .

Substituting into this formula and calculating $t$ gives:

$t = $15 + (5.75/100 xx $15)$

$t = $15 + ($86.25)/100$

$t = $15 + $0.86$ rounded to the nearest penny.

$t = $15.86$

The total paid for the pants after the sale and tax are taken into account is: $color(red)($15.86)$