Vincen wrote:Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?
(1) Before the increases, Jim's salary was greater than $25,000.
(2) Before the increases, Jim's salary was 4/5 of Beth's salary.
Let the percent increase = 10%.
Statement 1:
No information about Karen's salary.
INSUFFICIENT.
Statement 2:
Case 1: Beth's salary = $500, Jim's salary = (4/5)(500) = $400
Dollar increase for Beth = 10% of 500 = 50.
Dollar increase for Jim = 10% of 400 = 40.
In this case, Beth's dollar increase is greater than Jim's, so the answer to the question stem is YES.
Case 2: Beth's salary = $1000, Jim's salary = (4/5)(1000) = $800
Dollar increase for Beth = 10% of 1000 = 100.
Dollar increase for Jim = 10% of 800 = 80.
In this case, Beth's dollar increase is greater than Jim's, so the answer to the question stem is YES.
Case 3: Beth's salary = $5000, Jim's salary = (4/5)(5000) = $400
Dollar increase for Beth = 10% of 5000 = 500.
Dollar increase for Jim = 10% of 4000 = 400.
In this case, Beth's dollar increase is greater than Jim's, so the answer to the question stem is YES.
In every case, the answer to the question stem is YES.
SUFFICIENT.
The correct answer is
B.
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