A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it, and this price includes 8% sales tax, then what was the original price without tax or discount?
750
Well, well, looks like you've got yourself a discount puzzle! Let me put on my thinking clown shoes for this one.
First, let's find out the original price before the discount. We know that $688.50 includes an 8% sales tax, so we need to remove that first. To calculate the price without tax, we divide $688.50 by 1.08 (because 100% + 8% = 108%).
So, $688.50 / 1.08 = $637.50. That's the price without tax! Phew, one step down, my friend.
Now, we need to find the original price before any discount. Since the computer was purchased at a 15% discount, we can represent the original price as 100% - 15% = 85%.
To find the final answer, we divide $637.50 by 0.85 (which is 85% expressed as a decimal).
So, $637.50 / 0.85 = $750.
Tada! The original price without tax or discount was $750. I hope my clown calculations didn't make you laugh too hard!
To find the original price of the computer without tax or discount, we can follow these steps:
Step 1: Calculate the price before tax.
The price paid, including 8% sales tax, is $688.50. So, the price before tax can be calculated by dividing $688.50 by (1 + 8%):
Price before tax = $688.50 / (1 + 8%) = $688.50 / 1.08 ≈ $636.57
Step 2: Calculate the original price without the discount.
Since the computer was purchased at a 15% discount, we can calculate the original price by dividing the price before tax by (1 - 15%):
Original price without discount = $636.57 / (1 - 15%) = $636.57 / 0.85 ≈ $749.49
Therefore, the original price of the computer, without tax or discount, was approximately $749.49.
To find the original price without tax or discount, we need to reverse the process by applying the discount and sales tax to the final price.
Step 1: Apply the sales tax to the final price.
Since the final price includes 8% sales tax, we can calculate the price before tax by dividing the final price by 1 plus the sales tax rate (8% or 0.08):
Final price / (1 + sales tax rate)
= $688.50 / (1 + 0.08)
= $688.50 / 1.08
≈ $637.50
Step 2: Apply the discount to the price before tax.
To calculate the original price without discount, we can divide the price before tax by 1 minus the discount rate (15% or 0.15):
Price before tax / (1 - discount rate)
= $637.50 / (1 - 0.15)
= $637.50 / 0.85
≈ $750.00
Therefore, the original price without tax or discount was approximately $750.00.
original price ----- x dollars
.85(1.08)x = 688.50
solve for x