请教一道数学题

哈哈柚 · 发表于 2010-8-7 19:31:07

Last year the price per share of Stock X incresed 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)%

ANS D

哈哈柚 · 发表于 2010-8-7 20:25:18

自己顶~

哈哈柚 · 发表于 2010-8-8 00:33:32

难道没人会么……

eisowl · 发表于 2010-8-8 00:44:07

写错了吧应该是 (k-m)/(1+m) *100%

afei0128 · 发表于 2010-8-8 00:48:03

Last year the price per share of Stock X incresed 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)%

ANS D

-- by 会员哈哈柚 (2010/8/7 19:31:07)

这个题目的思路并不难，难在题目及其绕口。把题目读懂了就简单了。
某个股票的单价上涨了k%，那么可以设原价为A，那么涨价之后A(1+k%)
然后又说这个股票每股的收入上涨了m%，设原来每股收入为B，那么上涨之后每股收入为B(1+m%)
题目最终求的是每股的价格和收入之比增加了多少。
之前的价格和收入比为：A/B
之后的价格和收入比为：A(1+k%)/B(1+m%)

那么得到ratio的增长率为[A(1+k%)/B(1+m%)-A/B]/(A/B)

化简之后就得到答案是D

afei0128 · 发表于 2010-8-8 00:49:44

答案是正确的，你可能算错了~

请教一道数学题

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