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  3. FAMILY X’S EXPENDITURES AS A PERCENT OF ITS GROSS ANNUAL INCOME *[img]ct_gre6im

FAMILY X’S EXPENDITURES AS A PERCENT OF ITS GROSS ANNUAL INCOME *[img]ct_gre6im

游客2025-02-24  14
问题 FAMILY X’S EXPENDITURES AS A PERCENT OF ITS GROSS ANNUAL INCOME *


Family X’s gross income is the sum of Mr. X’s income and Mrs. X’s income. In 1983 Mr. and Mrs. X each had an income of $25,000. If Mr. X’s income increased by 10 percent from 1983 to 1984, by what percent did Mrs. X’s income decrease for the same period?
选项 A、10%
B、15%
C、20%
D、25%
E、30%
答案 E
解析 标题：X家庭的开支占其总收入的百分比X家庭的总收人是Mr. X和Mrs. X的收入之和。1983年，Mr. X和Mrs. X的收入均为$25,000。若Mr. X在1983年至1984年收入增加10％，那么Mrs. X的同期收入减少了百分之几?
解：本题的正确答案为(E)。根据图中下部小字可知1984年Mr. X和Mrs. X的收入之和为$45,000，设Mrs. X的收入减少了x％，由题意可得：$25,000 ×(1+10％)+$25,000(1-x％)=$45,000 → x=30
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