GWD 数学求解~~

jasminerocks · 发表于 2011-7-30 09:01:15

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) %

sdcar2010 · 发表于 2011-7-30 09:16:34

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)]

jasminerocks · 发表于 2011-7-30 09:29:21

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)]

-- by 会员 sdcar2010 (2011/7/30 9:16:34)

哈，我懂了，一开始题意理解的有偏差，万分感谢

GWD 数学求解~~

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