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A pair of athletic shoes that usually sells for $170 is marked down fo

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A pair of athletic shoes that usually sells for $170 is marked down fo  [#permalink]

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New post 29 Mar 2018, 00:03
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Difficulty:

  35% (medium)

Question Stats:

85% (01:29) correct 15% (00:58) wrong based on 24 sessions

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A pair of athletic shoes that usually sells for $170 is marked down for a clearance sale. If the sales tax rate is 8 percent, how much does the customer pay for the marked-down shoes, including sales tax?

(1) Including sales tax, the customer saves a total of $36.72.
(2) The sales tax on the marked-down price is $10.88.

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Re: A pair of athletic shoes that usually sells for $170 is marked down fo  [#permalink]

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New post 29 Mar 2018, 00:28
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Bunuel wrote:
A pair of athletic shoes that usually sells for $170 is marked down for a clearance sale. If the sales tax rate is 8 percent, how much does the customer pay for the marked-down shoes, including sales tax?

(1) Including sales tax, the customer saves a total of $36.72.
(2) The sales tax on the marked-down price is $10.88.


To calculate the price the customer pays, we need to know the marked-down price and the sales tax on the marked down price.
We'll look for statements that give us this information, a Logical approach.

(1) Since we know the original price ($170+tax) and we know the amount the customer saved, we can calculate the amount the customer spent.
Sufficient.

(2) We know the sales tax on the marked-down price and since we know that the sales tax is 8% we can also calculate the marked-down price. Then we can calculate the total amount the customer paid.
Sufficient.

(D) is our answer.
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Re: A pair of athletic shoes that usually sells for $170 is marked down fo  [#permalink]

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New post 02 Apr 2018, 08:14
Let the marked down price be x.

From statement (1),
Total savings = $36.72
Initial marked price - Discounted price + Sales tax on discounted price = $36.72

\(170-x+0.08x = 36.72\)

Thus, statement (1) is sufficient in itself.

From statement (2),
Sales tax paid = $10.88
=> \(0.08x = 10.88\)
=> \(x = \frac{10.88}{0.08}\)

Thus, statement (2) is also sufficient in itself.

Therefore, the correct answer is D
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Re: A pair of athletic shoes that usually sells for $170 is marked down fo &nbs [#permalink] 02 Apr 2018, 08:14
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