Lost again

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Lost again

by lukaswelker » Thu Apr 17, 2014 8:56 am
Hey guys, for this one I'm also very lost indeed.

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% discount off list price, while store Z is located in a state with no sales tax and gives no discounts. Store X applies its discount first and then charges 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 ?

x=y=z : x=y<z : x<y<z : x<z<y : y<z<x

In my mind x cannot equal to y. So I'm quiet lost indeed.

Any help will be more then welcome :)
Cheers
Lukas

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by theCodeToGMAT » Thu Apr 17, 2014 9:06 am
x = 0.95 * P + 0.05 * 0.95 * P = 0.95 * P (1.05)
y = 1.05 * P - 0.05*1.05*P = 1.05 * P * (0.95)
z = P

X = Y != Z

Only Possible: x=y<z
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