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The price of a certain stock rose by 25 percent and then

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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 [?]: 1653 [0], given: 396

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The price of a certain stock rose by 25 percent and then [#permalink] New post 10 Jun 2018, 05:07
Expert's post
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Question Stats:

90% (01:27) correct 10% (00:25) wrong based on 10 sessions
The price of a certain stock rose by 25 percent and then decreased by y percent. After the decrease, the stock was back to its original price.

Quantity A
Quantity B
y
25


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 [?]: 1653 [0], given: 396

CAT Tests
Re: The price of a certain stock rose by 25 percent and then [#permalink] New post 11 Jul 2018, 16:01
Expert's post
Explanation

Use a smart number for the price of the stock; for a percent problem, $100 is a good choice.

The price of the stock after a 25% increase is (1.25) × $100 = $125.

Next, find the percent decrease (y) needed to reduce the price back to the original $100. Because $125 – $25 = $100, rephrase the question: 25 is what percent of 125?

\(25=\frac{x}{100}125\)

\(x=20\)

You have to reduce 125 by 20% in order to get back to $100. Therefore, Quantity A is 20%, so Quantity B is greater.
_________________

Sandy
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Re: The price of a certain stock rose by 25 percent and then   [#permalink] 11 Jul 2018, 16:01
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The price of a certain stock rose by 25 percent and then

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