求问比例题

mirandatsui · 发表于 2010-12-21 23:30:16

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)%

我不太理解答案是怎么出来的？希望能有人解答。非常感谢。

答案是D

sdcar2010 · 发表于 2010-12-21 23:48:53

Category 2009 2010
price p (100+k)% * p
earning e (100+m)% * e
p/e p/e [(100+k)/(100+m)] * [p/e]

percentage increase in p/e ratio = 100% * {[(100+k)/(100+m)] * [p/e] - [p/e]} / [p/e]
= 100%* [(100+k)/(100+m) - 1]
= 100% * [(k-m)/(100+m)]

求问比例题

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