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An item’s price was discounted by 16%. Later, the discounted

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

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An item’s price was discounted by 16%. Later, the discounted [#permalink] New post 10 Jun 2018, 03:58
Expert's post
00:00

Question Stats:

88% (00:48) correct 11% (00:00) wrong based on 9 sessions
An item’s price was discounted by 16%. Later, the discounted price was increased by 16%.

Quantity A
Quantity B
The original price
The price after the discount and increase


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.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: An item’s price was discounted by 16%. Later, the discounted [#permalink] New post 13 Jun 2018, 16:34
Expert's post
Explanation

The problem doesn’t indicate any specific values, so pick a smart number. Because this is a percent problem, call the original price $100. Quantity A equals $100.

Decreasing a value by 16% is the same as taking (100 – 16)% = 84% of the number: so (0.84)(100) = $84.

To increase the value by 16%, take 116% of the number, or multiply by 1.16: (1.16)(84) = $97.44.

Quantity A is greater.
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Sandy
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Intern
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Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 6 [0], given: 0

Re: An item’s price was discounted by 16%. Later, the discounted [#permalink] New post 13 Jun 2018, 17:27
Assume the original price = P
Quantity A = P
Quantity B = P*(1-16%)*(1+16%) = P(1-0.16^2) < P = A
--> A > B
Keys: A
Re: An item’s price was discounted by 16%. Later, the discounted   [#permalink] 13 Jun 2018, 17:27
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An item’s price was discounted by 16%. Later, the discounted

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