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# Over the course of a single week, the price of a company’s stock rose

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Math Expert
Joined: 02 Sep 2009
Posts: 52385
Over the course of a single week, the price of a company’s stock rose  [#permalink]

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13 Apr 2018, 02:33
00:00

Difficulty:

15% (low)

Question Stats:

85% (00:36) correct 15% (00:58) wrong based on 34 sessions

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Over the course of a single week, the price of a company’s stock rose by 10%. If the following week the company’s stock rose by 10% of the new price, by what percent did the stock increase over the two week period?

A. 19%
B. 20%
C. 21%
D. 120%
E. 121%

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Joined: 30 May 2017
Posts: 135
Location: United States
Schools: HBS '21
GMAT 1: 690 Q50 V32
GRE 1: Q168 V164
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Re: Over the course of a single week, the price of a company’s stock rose  [#permalink]

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13 Apr 2018, 02:49
Bunuel wrote:
Over the course of a single week, the price of a company’s stock rose by 10%. If the following week the company’s stock rose by 10% of the new price, by what percent did the stock increase over the two week period?

A. 19%
B. 20%
C. 21%
D. 120%
E. 121%

The answer will be 1.1*1.1 - (1)=1.21 -1 = 121% -100% = 21%.
Hence option C =21% is the answer.
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Intern
Joined: 04 Apr 2018
Posts: 21
Re: Over the course of a single week, the price of a company’s stock rose  [#permalink]

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13 Apr 2018, 03:01
Let the initial stock price be 100.
So after 1st increment, it would become = 110
After 2nd increment, it becomes= 1.1*110 = 110+11=121
So total increase is 121-100=21%. Hence, C. 21% should be the answer.

OR

Alternative is successive increment % can be simply calculated by 10% + 10% + {(10*10)/100}= 21%
VP
Joined: 31 Oct 2013
Posts: 1003
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Over the course of a single week, the price of a company’s stock rose  [#permalink]

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13 Apr 2018, 03:10
Bunuel wrote:
Over the course of a single week, the price of a company’s stock rose by 10%. If the following week the company’s stock rose by 10% of the new price, by what percent did the stock increase over the two week period?

A. 19%
B. 20%
C. 21%
D. 120%
E. 121%

let's assume the base price was 100
first phase it become 110
second phase it became 121
so, (121-100)=21%

Re: Over the course of a single week, the price of a company’s stock rose &nbs [#permalink] 13 Apr 2018, 03:10
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