求助一道GWD

owen870930 · 发表于 2010-10-5 09:47:17

Q18:

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) %
这题看了半天月看越迷糊·求思路~求过程~谢过各位了

owen870930 · 发表于 2010-10-5 20:18:15

chinamerica · 发表于 2010-10-5 21:21:35

Let the price per share of the stock be p and the earnings per share of the stock be e at the beginning.
We are given that p increased by k percent, i.e, the current price per share: q=p(1+k/100)
and q increased by k percent, i.e, the current earnings per share: f = e(1+m/100)

what we are asked about is by what percent the ratio p/e increases, i.e,
[(q/f )/ (p/e) -1]*100% = [p(1+k/100)/e(1+m/100) / (p/e) -1] *100%
A direct simplification gives us the answer D

owen870930 · 发表于 2010-10-7 05:28:13

thanks

求助一道GWD

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