If you buy a pair of shoes on sale for $48. The price is discounted 25% and the sales tax is 7%. Which of the follwoing statements would be true?
Answer choices
1. The final price would be lower if you add the 7% sales tax first and take the 25% discount second.
2. It doesn't matter which you do first and which do you seocnd the final price will be the same.
3. The final price would be lower if you take the 25% discount first and add the 7% sales tax second.
We'll be glad to check your answer.
so which one is it
try it both ways
Ummhh, if I wouldn't know the answer, I would work out the problem both ways,
that is, discount first, then sales tax
vs
sales tax first , then discount
1.07 and 0.75 first one first, second second one first :)
To determine which statement is true, let's break down the problem step by step.
First, we need to calculate the discount on the original price of the shoes. The discount is 25%, which means we deduct 25% of the original price from the total cost.
So, 25% of $48 can be found by multiplying $48 by 0.25:
Discount = $48 * 0.25 = $12
Now, subtract the discount from the original price:
New price = $48 - $12 = $36
Next, we need to calculate the sales tax on the new price. The sales tax is 7%, which means we add 7% of the new price to the total cost.
To find the sales tax, multiply the new price by 0.07:
Sales tax = $36 * 0.07 = $2.52
Finally, we add the sales tax to the new price:
Final price = $36 + $2.52 = $38.52
Now let's evaluate each statement using the calculated values:
1. The final price would be lower if you add the 7% sales tax first and take the 25% discount second.
If we follow this order, we would first add the sales tax to the original price:
Original price + Sales tax = $48 + $3.36 = $51.36
Then, we would apply the 25% discount to the new price:
Discount = $51.36 * 0.25 = $12.84
Final price = $51.36 - $12.84 = $38.52
This matches the calculated final price from the previous method.
2. It doesn't matter which you do first and which you do second, the final price will be the same.
This statement is incorrect since we have already shown that different order of calculations results in different final prices. Therefore, this statement is not true.
3. The final price would be lower if you take the 25% discount first and add the 7% sales tax second.
This statement is correct based on the calculations we made earlier. By taking the discount before adding the sales tax, we obtained a lower final price of $38.52.
Therefore, the correct answer is: The final price would be lower if you take the 25% discount first and add the 7% sales tax second. (Option 3)