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# Last year the price per share of Stock X increased by k

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VP
Joined: 26 Apr 2004
Posts: 1209
Location: Taiwan
Last year the price per share of Stock X increased by k [#permalink]

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14 Jan 2005, 11:02
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Difficulty:

55% (hard)

Question Stats:

67% (03:12) correct 33% (02:11) wrong based on 213 sessions

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Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?

A. k/m %

B. (k-m) %

C. [100(k-m)]/(100+k) %

D. [100(k-m)]/(100+m) %

E. [100(k-m)]/(100+k+m) %

OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-the-price-per-share-of-stock-x-increased-by-k-89307.html
[Reveal] Spoiler: OA
Director
Joined: 19 Nov 2004
Posts: 556
Location: SF Bay Area, USA
Re: Last year the price per share of Stock X increased by k [#permalink]

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14 Jan 2005, 16:21
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If old price per share = X, old Earnings per share = Y
=> Old ratio = X/Y
New price per share = X(100+k)/100, new Earnings per share = Y(100+m)/100
=>New ratio = X(100+K)/[(100+m)(Y)]

Increase in the ratios after simplifying comes to [100(k-m)]/(100+m) %

D)
VP
Joined: 26 Apr 2004
Posts: 1209
Location: Taiwan
Re: Last year the price per share of Stock X increased by k [#permalink]

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16 Jan 2005, 04:46
nocilis, thanks

The OA is D
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15915
Re: Last year the price per share of Stock X increased by k [#permalink]

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24 Nov 2014, 13:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Joined: 02 Sep 2009
Posts: 39589
Re: Last year the price per share of Stock X increased by k [#permalink]

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25 Nov 2014, 04:38
OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-the-price-per-share-of-stock-x-increased-by-k-89307.html
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Re: Last year the price per share of Stock X increased by k   [#permalink] 25 Nov 2014, 04:38
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