Q18: 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) %
我读不懂题:(,答案是D。请NN指教
去年股票X每股价格上涨了k%,每股收益上升了m,(m>k)
问:每股价格与每股收益的比例值上升了百分之多少?
用K和m表示
设去年的比例是x:y
今年的是(1+k/100)x1+m/100)y
化简为(100+k)x100+m)y
比去年增加了(100+k)x/(100+m)y-(x/y)
=(k-m)x/(100+m)y
比去年增加的百分比为:
今年的比例(k-m)x/(100+m)y除以去年的比例x/y再乘以100%
就是100(k-m)/(100+m)%
不知道能否说明白
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