2. 外语
  3. A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a

A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a

admin2022-10-18  82
问题 A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a yearly fee. Did the novelist pay more to her agent last year than she paid to her publicist?
(1) The publicist’s yearly fee is $2,000.
(2) The novelist earned an average of $3,500 in royalties last year on each of her novels.
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.
答案E
解析 Let $R be the novelist’s royalties last year, and let $Y be the yearly fee paid to the publicist. Determine whether 0.15R > 0.05R + Y, or equivalently, whether R > 10Y.
(1)     No information is given that allows us to determine whether R is greater than 10Y= 10(2,000) = 20,000; NOT sufficient.
(2)     No information is given that allows us to determine whether 3,500? is greater than 10 Y, where n is the number of novels; NOT sufficient.
Given (1) and (2) and letting n be the number of novels, we are to determine whether 3,500n > 20,000. If n = 1, then the answer is NO. However, if n = 10, then the answer is YES.
The correct answer is E;
both statements together are still not sufficient.
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