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

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Intern
Joined: 12 Mar 2004
Posts: 35
Location: Mumbai INDIA
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Last year the price per share of Stock X increased by k [#permalink]  10 Dec 2004, 21:07
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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 greter 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)%
Intern
Joined: 06 Dec 2004
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explain further [#permalink]  12 Dec 2004, 08:48
Hi, can someone explain the solution in detail... Don't we need to know the relation between price per share and earnings per share to determine the ratio?
Manager
Joined: 25 Aug 2004
Posts: 171
Location: MONTREAL
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Initial situation:

Price per Share: x
Earning Per Share: Y

After the increase:

Price per Share: x + (kx/100) = (100x+kx)/100 (i)
earning per share: y + (my/100) = (100y+my)/100 (ii)

ratio of the initial situation: x/y
ratio after the increase: (i) / (ii) which gives us after simplification

x/y (100+k)/(100+m) (iii)

The solution will be { (iii) - x/y } / x/y *100/100

After simplification we have D like an answer.

Beautifull one....
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