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A corporation with 5,000,000 shares of publicly listed stock

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A corporation with 5,000,000 shares of publicly listed stock [#permalink] New post 04 Feb 2007, 10:13
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C
D
E

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1.A corporation with 5,000,000 shares of publicly listed stock reported total earnings of $7.20 per share for the first 9 months of operation. During the final quarter the number of publicly listed shares was increased to 10,000,000 shares, and fourth quarter earnings were reported as $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) $1.83
(B) $2.43
(C) $4.85
(D) $8.45
(E) $9.70


2. Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
(A)9/14 (B)3/4 (C)9/11
(D)6/7 (E)7/8
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 [#permalink] New post 04 Feb 2007, 13:12
Question 1:
From the question, we can conclude that;

Total earning = (Listed Share) x (Value/Share)

The first 9 months; (Jan - Sep)
Total earning = 5m x 7.2 = 36m (36 million dollars)

The 4th quarter; (Oct - Dec)
Total earning = 10m x 1.25 = 12.5m

Total Annual earning = 36m + 12.5m = 48.5m

At the end of the year, there are total 10m listed share; therefore,
the average annual per share = 48.5m / 10m = 4.85 dollar per share

C. is the answer.
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Re: PS [#permalink] New post 04 Feb 2007, 13:21
jet1445 wrote:
2. Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
(A)9/14 (B)3/4 (C)9/11
(D)6/7 (E)7/8


Assuming total rats = N
and total rats that died = D

Before experiment; male/female = 40N/60N

After experiment; Death Male/DeathFemale = 30D/70D

Death Rate amoung the male rat = 30D/40N

Deat Rate amount the female rat = 70D/60N

death rate among the male rats to the death rate among the female rats
= (30D/40N) / (70D/60N)

= 3 * 6 / 4*7 = 9/14

A. is the answer.
Re: PS   [#permalink] 04 Feb 2007, 13:21
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