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A car dealer purchased a used car, marked it up to make a 20 percent p

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Carcass
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A car dealer purchased a used car, marked it up to make a 20 percent p [#permalink] New post   21 Feb 2021, 10:43
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A car dealer purchased a used car, marked it up to make a 20 percent profit, and then sold it at a 20 percent discount from the sticker price.

Quantity A
Quantity B
The amount that the dealer paid for the car, before taxes and fees
The amount for which the dealer sold the car, before taxes and fees



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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A car dealer purchased a used car, marked it up to make a 20 percent p [#permalink] New post   21 Feb 2021, 11:45
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Carcass wrote:
A car dealer purchased a used car, marked it up to make a 20 percent profit, and then sold it at a 20 percent discount from the sticker price.

Quantity A
Quantity B
The amount that the dealer paid for the car, before taxes and fees
The amount for which the dealer sold the car, before taxes and fees



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Let the price of car be x
After adding 20% Profit, price of car = 1.2x
After giving a discount of 20%, price of car = (0.8)(1.2x)=0.96x

Col. A: 1x
Col. B: 0.96x

Col. A > Col. B

Hence, option A
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Re: A car dealer purchased a used car, marked it up to make a 20 percent p [#permalink] New post   27 Apr 2021, 03:46
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I find the quickest, most simple, and surefire way to successfully nail these problems, where starting amounts are not given, is to start with a sale price of $100. The math is very easy and comparing the amounts is crisp and clear.

Dealer purchased the car for $100.
Dealer marked the car up to $100*(120/100) = $120.
Dealer sold the car for $120*(80/100) = $96

Compare 100 to 96. Choice A.
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Re: A car dealer purchased a used car, marked it up to make a 20 percent p [#permalink]
27 Apr 2021, 03:46
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