Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A) $368
B) $380
C) $400
D) $420
E) $432
Finding price when given percentage sales tax
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Let us assume that purchase price = $PStriver wrote:Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A) $368
B) $380
C) $400
D) $420
E) $432
8% of P = 0.08P = Tax on purchase price
If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase.
So, 0.05P = 0.08P - 12
12 = 0.03P
P = 12/0.03
P = 400
So, we get the purchase price as $400.
Now, 8% of $400 = 0.08 * 400 = $32
Therefore, the total amount that Connie paid for her purchase including sales tax = $400 + $32 = [spoiler]$432[/spoiler]
The correct answer is E.
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- karthikpandian19
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Answer is E
Connie is asked for how much she paid on her purchase with 8% Sales Tax (ST)
X - Cost of the product
X + 0.08X is what we need.
As per the question,
X + 0.05X = (X + 0.08X)-12
So, Solving this:
0.03X =12
X=400
Now Substitute in X + 0.08X
400+0.08x400
400+32
432 is the answer
Connie is asked for how much she paid on her purchase with 8% Sales Tax (ST)
X - Cost of the product
X + 0.08X is what we need.
As per the question,
Then we can write eqn as :If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase.
X + 0.05X = (X + 0.08X)-12
So, Solving this:
0.03X =12
X=400
Now Substitute in X + 0.08X
400+0.08x400
400+32
432 is the answer
Striver wrote:Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A) $368
B) $380
C) $400
D) $420
E) $432
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Karthik
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Let's start with the following word equation: (total cost including 8% tax) - (total cost including 5% tax) = $12Striver wrote: ↑Wed May 30, 2012 4:51 pmConnie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid $12 less in sales tax on her purchase. What was the total amount that Connie paid for her purchase including sales tax?
A) $368
B) $380
C) $400
D) $420
E) $432
Let x = the cost of the purchase (without tax)
So we can write: (x + 8% of x) - (x + 5% of x) = $12
In other words: (x + 0.08x) - (x + 0.05x) = $12
Simplify: 0.03x = 12
Solve: x = 12/0.03 = 1200/3 = 400
So, the cost of the purchase (without tax) is $400
So, the total amount Connie paid = $400 + (8% of $400) = $432
Answer: E