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# The value of a stock is X dollars. On Sunday the stock's value grew by

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Math Expert
Joined: 02 Sep 2009
Posts: 51229
The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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13 Jul 2016, 00:53
00:00

Difficulty:

25% (medium)

Question Stats:

71% (00:54) correct 29% (00:49) wrong based on 132 sessions

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The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?

A. X.
B. X/2.
C. 2X/3.
D. X/3.
E. X/4.

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Joined: 26 Nov 2012
Posts: 591
The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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13 Jul 2016, 01:03
Bunuel wrote:
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?

A. X.
B. X/2.
C. 2X/3.
D. X/3.
E. X/4.

Given the value of stock is X dollars.

Then on Sunday the stock's value is increased by half i.e. X + X/2 = 3X/2 ( this is the new value)

Then on Monday its value dropped by 1/3 of new value = 1/3(3X/2) = 3X/6

Then 3X/2 - 3X/6 = 6X/6 = 6. (new value - 1/3 value)

IMO A is correct option..

OA please...will correct if I missed anything.
Intern
Joined: 03 Aug 2015
Posts: 35
The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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13 Jul 2016, 01:30
Price of the Stock on Sunday : x+x/2= 3x/2
Price at the end of Monday = (3x/2) 1/3 = x/2

3x/2-x/2 = x... hence A answer.
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Joined: 18 Oct 2014
Posts: 846
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
Re: The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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13 Jul 2016, 04:25
Bunuel wrote:
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?

A. X.
B. X/2.
C. 2X/3.
D. X/3.
E. X/4.

Stock value= X

AT sunday end= x+.5X= 1.5 X

On monday the value drop to 1/3rd of its value on sunday
1.5x/3= .5x= X/2

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Director
Joined: 21 Mar 2016
Posts: 521
Re: The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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13 Jul 2016, 13:37
Let the initial value of stock be x
then on sunday the value is 1.5X
the question says the value dropped to 1/3 its value not by 1/3 of the value
so final value is 0.5 X or X/2
Director
Joined: 23 Jan 2013
Posts: 568
Schools: Cambridge'16
Re: The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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31 Jul 2016, 01:56
1/3*3/2X=1/2X

Intern
Joined: 06 May 2016
Posts: 2
Re: The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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09 Aug 2016, 11:01
Grew by half = 150/100
= 15/10
fell to 1/3 of new value
thus
15/10*1/3=1/2
there fore 1/2x

this was a successive percentage problem best managed in the form of fractions
Intern
Joined: 06 Jun 2016
Posts: 17
The value of a stock is X dollars. On Sunday the stock's value grew by  [#permalink]

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16 Oct 2017, 10:07
Bunuel wrote:
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a third of its new value. What is the stock's value at the end of Monday?

A. X.
B. X/2.
C. 2X/3.
D. X/3.
E. X/4.

Use numbers, takes 30 seconds.

X = 100 dollars

On Sunday, the stock's value grew by half of its value: \$100 + \$50 = \$150

On Monday the stock dropped to a third of its new value: \$150/3 = \$50

Stock's value at the end of day Monday is \$50

B is clearly the only answer choice that will result in \$50.
The value of a stock is X dollars. On Sunday the stock's value grew by &nbs [#permalink] 16 Oct 2017, 10:07
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