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请教一道比例题

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楼主
发表于 2008-10-4 16:15:00 | 只看该作者

请教一道比例题

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?

 

B.     (km) %

C.     [100(km)] / (100 + k) %

D.     [100(km)] / (100 + m) %

E.      [100(km)] / (100 + k + m) %

Answer: D

快考试了, 请nn们帮帮忙

沙发
 楼主| 发表于 2008-10-5 21:54:00 | 只看该作者
顶顶顶
板凳
发表于 2008-10-6 01:13:00 | 只看该作者

你好~ 這是我的解法,供你參考看看囉!!

設the price per share of Stock X 為P

 the earnings per share of Stock X為E

原始the ratio of price per share to earnings per share 就為P/E

當P增加k%,E增加m%, 則the ratio of price per share to earnings per share increase變為P(1+k%)/E(1+m%)

By what percent did the ratio of price per share to earnings per share increase就等於{P(1+k%)/E(1+m%)-P/E}/P(1+k%)/E(1+m%)

化簡完就為

D.     [100(km)] / (100 + m) %

你看看~若不等再問我唷! 我很熱心為你解答的!!

地板
 楼主| 发表于 2008-10-6 13:51:00 | 只看该作者

你好! 谢谢你给了我思路 

我想通了

不过你的式子好像有点错误

{P(1+k%)/E(1+m%)-P/E}/P(1+k%)/E(1+m%)

红色部分应该是 P/E 才对

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