[求助]请教一下TT GWD-3-18

alexmingzhu

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) %

答案是D

可以请问一下是怎么算的吗??

百思不解

谢谢

cindybaobao

假设前年Price per share =x, 前年earning per share =y 那么去年的price per share 为（1＋k％）x，去年的earning per share 为（1＋m％）y 求 去年的price per share 与earning per share的比率 比前年的比率增加了多少。

[（1＋k％）x]/[（1＋m％）y ]/(x/y)再减1

＝（1＋k％）/(1＋m％）再减1

＝（k%－m%)/(100-m%)

=     [100(k-m)]/(100+m) %

那个k％的百分号要化来化去的，细心一点就ok。

请先搜索

谢谢

yangzhongyan

题目的意思是价格和股利的比例增长了多少，就是两个的比啊

上面解的很清楚了啊

[（1＋k％）x]/[（1＋m％）y ]是增长后的

(x/y)是增长前的