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
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
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
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