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?
~$\frac{k}{m}$~%
(k – m) %
~$\frac{100(k-m)}{100+k}$~%
~$\frac{100(k-m)}{100+m}$~%
~$\frac{100(k-m)}{100+k+m}$~%
原:P/E
新:P(1+K/100)/ E(1+M/100)=
=P (100+K)/E (100+M)
increase=new-old /old
= [P (100+K)/E (100+M) - P/E] / (P/E)
=(100+k)/(100+m) –(100+m/100+m) / 1
=100 (k-m)/ (100+m)
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