You buy a television for $550. That price included a 10% sales tax. what is the price without sales tax?
The answer choices are
A)$500 B)$605
C)$55 D)$550
I did a proportion to find this answer by doing:
10/100=x/550 ;and I ended up getting $495, which is not one of the answer choices. I did an equation and ended up with $550, but I don't think that is right since that is the price of the television WITH sales tax, and your looking for a television without sales tax.
What am I doing wrong?
or, A :-)
Oh, I understand :3 Thank You Ms. Sue :)
Ooops! Of course, it's A.
i don’t understand
To calculate the price of the television without sales tax, you will need to use the inverse of the sales tax percentage. Here's how to do it:
Let's call the price without sales tax "x". We know that the price with sales tax is $550 and the sales tax rate is 10%. Since the sales tax is calculated as a percentage of the price without tax, we can set up the following equation:
x + (10% of x) = $550
To calculate 10% of x, you need to multiply x by 0.10:
0.10x = $550 - x
Now, you can simplify the equation:
1.10x = $550
Divide both sides of the equation by 1.10 to solve for "x":
x = $550 / 1.10
Let's calculate the value:
x ≈ $500
Therefore, the price without sales tax is approximately $500.
Looking at the answer choices provided, option A)$500 is the correct choice.
Let's look at this logically.
The price without tax must be less than $550.
That eliminates B and D.
C is obviously not right.
What about D?
0.1 * 500 = 50
500 + 50 = 550
Voila! The answer must be D.