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03 Nov 2022, 05:59
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D
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Difficulty:
5%
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Question Stats:
85% (01:15) correct
15%
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wrong
based on 104
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Richard's salary is greater than $25,000. Is Amy's salary greater than Brian's salary?
(1) Brian's salary is 125 percent of Richard's salary, and Amy's salary is greater than 130 percent of Richard's salary.
(2) Richard's salary is 75 percent of Amy's salary but is 80 percent of Brian's salary.
(1) Brian's salary is 125 percent of Richard's salary, and Amy's salary is greater than 130 percent of Richard's salary.
(2) Richard's salary is 75 percent of Amy's salary but is 80 percent of Brian's salary.
12 Nov 2022, 11:50
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Given that Richard's salary is greater than $25,000 and we need to find Is Amy's salary greater than Brian's salary?
STAT 1: Brian's salary is 125 percent of Richard's salary, and Amy's salary is greater than 130 percent of Richard's salary.
Brain's Salary is 125% of Richard's and Amy's Salary is greater than 130% of Richard's
=> Amy's salary is greater than Brain's as 130%+ > 125%
=> SUFFICIENT
STAT 2: Richard's(R) salary is 75 percent of Amy's(A) salary but is 80 percent of Brian's(B) salary.
R = 75% * A = 0.75A
R = 80% * B = 0.8 B = 0.75A
=> A = \(\frac{80}{75}\) B
=> A > B
=> SUFFICIENT
So, Answer will be D
Hope it helps!
STAT 1: Brian's salary is 125 percent of Richard's salary, and Amy's salary is greater than 130 percent of Richard's salary.
Brain's Salary is 125% of Richard's and Amy's Salary is greater than 130% of Richard's
=> Amy's salary is greater than Brain's as 130%+ > 125%
=> SUFFICIENT
STAT 2: Richard's(R) salary is 75 percent of Amy's(A) salary but is 80 percent of Brian's(B) salary.
R = 75% * A = 0.75A
R = 80% * B = 0.8 B = 0.75A
=> A = \(\frac{80}{75}\) B
=> A > B
=> SUFFICIENT
So, Answer will be D
Hope it helps!
12 Nov 2022, 12:35
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Bunuel
Question Stem Analysis:
Let R = Richard's salary, A = Amy's salary, and B = Brian's salary. We are told that R > 25,000 and we need to determine whether A > B.
Statement One Alone:
\(\Rightarrow\) Brian's salary is 125 percent of Richard's salary, and Amy's salary is greater than 130 percent of Richard's salary.
This means that B = 1.25R and A > 1.3R. Since R is positive, 1.3R > 1.25R; thus A > 1.3R > 1.25R = B. Statement one alone is sufficient to answer the question.
Eliminate answer choices B, C, and E.
Statement Two Alone:
\(\Rightarrow\) Richard's salary is 75 percent of Amy's salary but is 80 percent of Brian's salary.
Thus, R = 0.75A and R = 0.8B. It follows that A = R/0.75 and B = R/0.8. Since we have two positive fractions with common numerator, the fraction with the smaller denominator is larger, which means A > B. Statement two alone is sufficient.
Answer: D
