Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?  Choose the most appropriate option:
A) 100 (m-n)%
B) 100*(m-n)/(100+n) %
C) m/n%
D) 100 (m+n)%
E) 100*(m+n)/(100+m)%
Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases   After the increase the new price is: P*(1+m/100) and the new earning is: E*(1 + n/100)   The new P/E is: (1+m/100)P/(1+n/100)E   The Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:   [(1+m/100)/(1+n/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:   100*(m-n)/(100+n) %   Answer : 100*(m-n)/(100+n) %
<result>B</result>
Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?