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Stores X, Y, and Z each sell a certain item that has a given list pric
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20 Jun 2022, 01:48
20 Jun 2022, 01:48
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Stores X, Y, and Z each sell a certain item that has a given list price. Stores X and Y are located in a state with a 5 percent sales tax, and both sell the item at a 5 percent discount off list price, while Store Z is located in a state with no sales tax and gives no discounts. Store X applies its discounts first and then charges sales tax on the discounted price, while Store Y adds the tax first and then applies the discount to the price with tax. If x and y are the prices, with tax and discount, charged by Stores X and Y, respectively, and z is the price charged by Store Z, which of the following statements correctly describes the relationship among x, y, and z?
A. x=y=z
B. x=y<z
C. x<y<z
D. x<z<y
E. y<z<x
A. x=y=z
B. x=y<z
C. x<y<z
D. x<z<y
E. y<z<x
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: Stores X, Y, and Z each sell a certain item that has a given list pric
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20 Jun 2022, 05:29
20 Jun 2022, 05:29
1
Carcass wrote:
Stores X, Y, and Z each sell a certain item that has a given list price. Stores X and Y are located in a state with a 5 percent sales tax, and both sell the item at a 5 percent discount off list price, while Store Z is located in a state with no sales tax and gives no discounts. Store X applies its discounts first and then charges sales tax on the discounted price, while Store Y adds the tax first and then applies the discount to the price with tax. If x and y are the prices, with tax and discount, charged by Stores X and Y, respectively, and z is the price charged by Store Z, which of the following statements correctly describes the relationship among x, y, and z?
A. x=y=z
B. x=y<z
C. x<y<z
D. x<z<y
E. y<z<x
A. x=y=z
B. x=y<z
C. x<y<z
D. x<z<y
E. y<z<x
Let $100 = the list price for all 3 stores
Store X
$100 plus 5% sales tax = $105
$105 minus 5% discount = (0.95)($105) = $99.75
Aside: a 5% discount means the buyer is paying 95% of the cost (thus 95% of $105)
Store Y
$100 minus 5% discount = $95
$95 plus 5% sales tax = (1.05)($95) = $99.75
Store Z
$100
We can see that $99.75 = $99.75 < $100
In other words, x = y < z
Answer: B
gmatclubot
Re: Stores X, Y, and Z each sell a certain item that has a given list pric [#permalink]
20 Jun 2022, 05:29
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