Beth and Jim each received a salary increase. If Jim's

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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.

The OA is the option B.

Experts, can you give me some help here? Please. I don't know how to solve this DS question. <i class="em em-disappointed"></i>

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by GMATGuruNY » Tue Feb 13, 2018 5:34 am
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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by Scott@TargetTestPrep » Tue Feb 20, 2018 4:23 pm
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.
If Beth's and Jim's salaries were increased by the same percent, the only way Beth's increase (in dollar amount) is more than Jim's is if Beth's salary is more than Jim's.

Statement One Alone:

Before the increases, Jim's salary was greater than $25,000.

Since we know nothing about Beth's salary, we can't determine whether Beth's salary is more than Jim's. Statement one is not sufficient to answer the answer.

Statement Two Alone:

Before the increases, Jim's salary was 4/5 of Beth's salary.

Since Jim's salary was 4/5 of Beth's, Beth's salary is more than Jim's. Statement two is sufficient to answer the question.

Answer: B

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