题目

In 1999, Company X's gross profit was what percent of its revenue?


(1) In 1999 Company X's gross profit was of its expenses

(2) In 1999 Company X's expenses were of its revenue.

选项

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.


B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.


C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.


D.

EACH statement ALONE is sufficient.


E.

Statements (1) and (2) TOGETHER are NOT sufficient.

解析

在1999年,X公司的毛利润是其收入的百分之多少? 设毛利润为\(G\),费用为\(E\),收入为\(R\)。 **对于条件(1)** 由\(G=\frac{1}{3}E\)可得\(E = 3G\),又因为\(R=G + E=G+3G = 4G\),所以\(G=\frac{1}{4}R\),即毛利润是收入的\(25\%\),条件(1)单独充分。 **对于条件(2)** 因为\(E=\frac{3}{4}R\),则\(G=R-E=R-\frac{3}{4}R=\frac{1}{4}R\),即毛利润是收入的\(25\%\),条件(2)单独充分。 所以答案是D,每个陈述单独都足够。
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