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The annual stockholders' report for Corporation X stated that profits were up 10 percent over the previous year, although profits as a percent of sales were down 10 percent. Total sales for that year were approximately what percent of sales for the previous year?
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
设previous years的profit为P1,sales为S1
that year的profit为P2,sales为S1
由题可得P2=(1+10%)P1=1.1*P1①
P2/S2=(1-10%)P1/S1=0.9*P1/S1②
所以把①式代入②式得出:
0.9*P1/S1=1.1*P1/S2
交叉相乘得:1.1*P1*S1=0.9*P1*S2
所以S2/S1=(1.1*P1)/(0.9*P1)
最后约掉P1就可以求出答案
这道题的核心就是字母表达法+消元+文字题
profits were up 10 percent over the previous year其实就是这年的利润比前年多10%
profits as a percent of sales were down 10 percent其实就是这年的利润与销售的比例 比 前年这个比例少10%
而问题问的反而是 Total sales for that year were approximately what percent of sales for the previous year?
这年的利润与前年的利润的比是多少?
害
167937so
比例的增长=分子的增长÷分母的增长,所以0.9=1.1/s,所以s=1.1/0.9≈122%
carpe diem
1.1P/S2=0.9P/S1 S2=1.1/0.9 S1=1.22 S1
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问题求解PS
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