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price per share & earnings per share

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by miachi » Wed Mar 03, 2010 2:45 am
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) %
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Source: — Problem Solving |

by vibhutirs » Wed Mar 03, 2010 3:14 am
Is answer A
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by harsh.champ » Wed Mar 03, 2010 4:36 am
miachi wrote: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) %
New price per share= p(1 + k/100)
Earning per share = e(1 + m/100)


A
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by kstv » Wed Mar 03, 2010 6:57 am
IMO D
P = 100 E = 10
After increase P1 = 100 + k and E1 = 10+0.1m

Increase in ratio is P1/E1 - P/E
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