A dealer offers a computer software program whose list price is $500 at a 19% discount. She will give an extra 3% discount if paid in cash. What is the selling price if payment is made in cash?
If 500=81%, _____=78% (this comes from subtracting 19% from 100%, then subtracting the additional 3%
am i right
I don't exactly get what you are saying, but what I would do is find 19% of $500, and then subtract it from 500. Let's call that answer x. Then you find 3% of your answer, x, and subtract that, and you have your answer.
If you did that, or something similiar, then you'll probably be okay.
Hope I helped!
Yes, you are on the right track! To find the selling price if payment is made in cash, you need to determine the percentage of the list price that the final price represents.
First, you calculated that the original price of $500 corresponds to a 81% value. This is correct because the original price is 19% off the list price, meaning the discounted price is 81% of the list price.
Next, you subtracted an additional 3% from 100% because the dealer offers an extra 3% discount if paid in cash. This is also correct, as subtracting 3% from 100% gives you 97%.
Now to find the selling price, you need to determine what 97% of the list price is. You can do this by setting up a proportion:
(Original Price) / (List Price) = 81% / 100%
500 / (List Price) = 81 / 100
Let's solve for the List Price:
Cross-multiply:
500 * 100 = 81 * (List Price)
50000 = 81 * (List Price)
Divide both sides by 81:
List Price = 50000 / 81
List Price ≈ 617.28
Now, to find the selling price with the additional 3% discount, multiply the list price by 97%:
Selling Price = List Price * 97% ≈ 617.28 * 97%
Selling Price ≈ 598.91
Therefore, the selling price if payment is made in cash is approximately $598.91.