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

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

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New post 13 Jul 2016, 01:53
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Question Stats:

66% (00:37) correct 34% (00:26) wrong based on 107 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.
[Reveal] Spoiler: OA

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

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New post 13 Jul 2016, 02:03
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.

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

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New post 13 Jul 2016, 02:30
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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Re: The value of a stock is X dollars. On Sunday the stock's value grew by [#permalink]

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New post 13 Jul 2016, 05:25
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

B is the answer
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Re: The value of a stock is X dollars. On Sunday the stock's value grew by [#permalink]

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New post 13 Jul 2016, 14:37
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

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Re: The value of a stock is X dollars. On Sunday the stock's value grew by [#permalink]

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New post 31 Jul 2016, 02:56
1/3*3/2X=1/2X

answer B

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Re: The value of a stock is X dollars. On Sunday the stock's value grew by [#permalink]

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New post 09 Aug 2016, 12:01
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

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

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New post 16 Oct 2017, 11:07
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.

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The value of a stock is X dollars. On Sunday the stock's value grew by   [#permalink] 16 Oct 2017, 11:07
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