To find the sale price, we will first find the discount and subtract the discount from the original price.  

To find the discount, we multiply the cost of the shirt by the percent discount.

The discount equals $3.75.  Now, we will take that value and subtract it from the original cost of the shirt. 

Therefore, the sale price of the shirt is $11.25.

To find the sale price of an item, we will first find the amount of discount and subtract that from the original price.  In other words,

We know the pair of shoes originally cost $45.  We also know the discount is equal to 14% of $45.  To get this value, we will multiply 14% by $45.

Now, we can substitute into the formula.

Therefore, the sale price of the shoes is $38.70.

The final sales price is the original price of the burger plus the taxed price of the original cost of the burger.  

Set up an equation to find the final sales price.

We can rewrite the percent as a fraction.

Multiply the three dollars with the numerator.

Convert the fraction to a decimal.  The fraction is equivalent to fifteen cents.

The final cost of the burger at checkout is:  

The sweater is 30% off, so the sale price is 70% of the original price.  To find 70% of the original price, convert the percent to a decimal and multiply by the original price:

 First, note that the complete cost of the shirt is .  Therefore, the store makes  in profit on the sale of the shirt.  At this point, the problem merely becomes one of percentage change.  They make  percent profit— approximately  or .

The first thing to do is figure out the sale price.  There are two ways to do this:

First way: .

Second way: 

(The second way is like saying, "The new price is 90% of the original."  This is really the easiest way to do problems like this and should be learned.)

Now, to find the profit, merely subtract the original amount, namely : .

Be careful. Based on the question, we apply the percent profit to the her cost to produce a cookie NOT to the $2.00 in revenue.  So our equation would be:

where represents how much it costs Jessica to make a cookie.

We can simplify this to:

So it would cost Jessica $1.63 to make a cookie.

Be careful with this calculation.  If an item is making 10% profit, that means that it is making that profit on the original price.  

Therefore, if  is the original price, we can write:

.  

Solving for , we get .  

This means that the profit per item is $1.40.  Now, divide 10,000 by 1.4 and get 7,142.857.  Since you cannot sell partial items, you will need to sell 7,143 items in order to get a $10,000 profit.

If an item is selling for $17.10, its original price  can be found by the following equation:  

Solving for , we get $15.00 as the original price.

If the item is sold at a 20% loss, this means that the retailer is getting only 80% of the original price .  This can be represented as

.  

Solving for , we get