Donna and Rod bought a new van at an end of year sale for dealer cost plus 5%. If they paid $17,325.00 what was the dealer cost in dollars?

16458.75

I disagree with Logan's answer,

take 5% of it and add it to his answer, you will not get $17 325

the $17 325 represents 105% of the dealer cost

so dealer cost = 17325/1.05 = $16 500

Reiny is right.

To determine the dealer cost in dollars, we need to subtract the 5% markup from the total amount paid by Donna and Rod. Here's how you can calculate it step by step:

Step 1: Calculate the total amount including the markup:
Total amount paid = Dealer cost + 5% markup

Step 2: Convert the 5% markup into a decimal:
5% = 5/100 = 0.05

Step 3: Use the formula to find the dealer cost:
Dealer cost = Total amount paid - 5% markup

Now, let's substitute the given values into the formula:

Dealer cost = $17,325.00 - 0.05($17,325.00)

Calculating the 5% markup:
0.05($17,325.00) = $866.25

Substituting this value into the formula:

Dealer cost = $17,325.00 - $866.25

Final Calculation:

Dealer cost = $16,458.75

Therefore, the dealer cost of the new van is $16,458.75.