GWD-3-18 百思不解

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) %

Answer:

本来股价同收益的比为p/e，增加后为p(1+%k)/e(1+m%)，增长的百分比就是（p(1+k%)/e(1+m%)）/(p/e)-1