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Expert replies
by ruplun » Mon Feb 27, 2012 10:14 am
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?
A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85
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Source: — Problem Solving |

by Mike@Magoosh » Mon Feb 27, 2012 11:43 am
Hi, there. I'm happy to help with this.

This is a strangely worded problem, not entirely clear, which makes it not very GMAT-like. Questions on the GMAT leave no ambiguity.

In this problem, it says: A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation.

So, if I understand this correct, that means, the total made in the first 9 months is $36 million. It's not standard to report earning/share for a three-quarter period, but apparently that's what we have here.

Then it says: during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share

So, this means, $12.5 million in the fourth quarter.

That brings total annual revenues to 36 + 12.5 = $48.5 million for the year.

Then: what are the average annual earnings per share based on the number of shares at the end of the year?

So, here, if I understand correctly, we are not taking into account how long the various numbers of shares were in existence. Rather, we are just taking the static value of 10,000,000 shares at the end of the year, and dividing total annual revenue by that. In this case,

$48.5 million/10,000,000 = $4.85

Answer = E

Does that make sense? Let me know if you have any further questions.

Mike :)
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by ruplun » Tue Feb 28, 2012 7:26 am
the total number of shares wont be 15...why its taken as 10...Its confusing....
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by [email protected] » Tue Feb 28, 2012 8:48 am
Hi,

My understanding is that the total shares outstanding at the end of the year is 10,000,000 (increase of 5,000,000). Hence the outstanding shares at the end of the year is 10,000,000. EPS= Earning/ total average outstanding shares. Hence: 48.5 million/ 10 million.

Hope this takes care of the confusion :)
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by Mike@Magoosh » Tue Feb 28, 2012 8:53 am
ruplun wrote:the total number of shares wont be 15...why its taken as 10...Its confusing....
I'm sorry. I don't understand. Where are you getting the 15? I really don't understand the question you are posing, but I would be happy to help if I did understand.

Mike :)
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by krusta80 » Tue Feb 28, 2012 3:18 pm
Mike@Magoosh wrote:
ruplun wrote:the total number of shares wont be 15...why its taken as 10...Its confusing....
I'm sorry. I don't understand. Where are you getting the 15? I really don't understand the question you are posing, but I would be happy to help if I did understand.

Mike :)
I think she is simply confusing "increased TO 10,000,000" with "increased BY 10,000,000"

Hence the 15.
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