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In 1988, Mr. Smith’s annual income was greater than Mrs. smith’s annual income. In 1989, Mr. Smith’s annual income decreased by
In 1988, Mr. Smith’s annual income was greater than Mrs. smith’s annual income. In 1989, Mr. Smith’s annual income decreased by
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2012-10-19
29
问题
In 1988, Mr. Smith’s annual income was greater than Mrs. smith’s annual income. In 1989, Mr. Smith’s annual income decreased by p percent, where as Mrs. Smiths annual income increased by p percent (p>0)
Column A Column B
Mr. and Mrs. Smith’s combined Mr. and Mrs. Smith’s combined
annual income in 1988 annual income in 1989
选项
A、if the quantity in Column A is greater
B、if the quantity in Column B is greater
C、if the two quantity are equal
D、if the relationship cannot be determined from the information given
答案
A
解析
在1988年Mr. Smith比Mrs. Smith的年收入多。在1989年,Mr. Smith的收入减少百分之p,而Mrs. Smith的收入增加了百分之p(p>0)。
解:本题的正确答案为(A)。比较的左项为1988年Mr.和Mrs.Smith的年收入和;比较的右项为1989年Mr.和Mrs.Smith的年收入和。设Mr.和Mrs.Smith 1988年的收入分别为x和y,且x>y,则1989年两人的收入分别为x(1-P%)和y(1+ P%),他们的总收入为x(1-P%)+y(1+P%)=x+y+(y-z)P%
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