# 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?

Jul 27, 2017

#### Answer:

See a solution process below:

#### Explanation:

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: $c = p - \left(s \cdot p\right)$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 $\frac{25}{100}$.

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: $t = c + \left(r \times c\right)$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 $\frac{5.75}{100}$.

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)