题目信息
State X has a sales tax rate of k percent on all purchases and State Y has a sales tax rate of n percent on all purchases. What is the value of k − n ?
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.
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正确答案：
A:Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Algebra Applied problems; Percents
It is given that
. It follows that 15(k − n) = 30, from which the value of k − n can be determined; SUFFICIENT.
It is given that k = 1.4n, from which k − n cannot be determined. For example, if n = 5, then k = 7 and k − n = 2. However, if n = 10, then k = 14 and k − n = 4; NOT sufficient.
The correct answer is A;statement 1 alone is sufficient.
It is given that
. It follows that 15(k − n) = 30, from which the value of k − n can be determined; SUFFICIENT.
It is given that k = 1.4n, from which k − n cannot be determined. For example, if n = 5, then k = 7 and k − n = 2. However, if n = 10, then k = 14 and k − n = 4; NOT sufficient.The correct answer is A;statement 1 alone is sufficient.
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