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Lesson: Data Sufficiency Intermeddiate - 13t01

Proportions In Data Sufficiency: Percents

[Page 13 of 21]
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Translate this word problem into the appropriate equation and use that equation to help you evaluate the question stem and predict what kind of information would be sufficient. Choose an answer, and then click Continue.

If 60 percent of the employees at Company X are female, does Company X have more than 100 female employees?

  1. Company X has more than 150 employees.
  2. Company X has 74 more female employees than male employees.
Statement (1) BY ITSELF is sufficient, but statement (2) by itself is not sufficient.
Statement (2) BY ITSELF is sufficient, but statement (1) by itself is not sufficient.
Both statements TAKEN TOGETHER are sufficient, but NEITHER statement BY ITSELF is sufficient.
EACH statement BY ITSELF is sufficient.
The two statements TAKEN TOGETHER are NOT sufficient.

Countinue

Focus on the question stem.

First, the translation:

You want to find the number of female employees, so any information that leads to the total number of employees would be sufficient.

Evaluate each statement separately.

Statement (1) is insufficient. Knowing that there are more than 150 total employees just isn't specific enough. For example, if there are 155 employees then there are 155 x .6 = 93 female employees which is less than 100. But, if there are 1000 total employees then there are 600 females, or over 100. So, eliminate Choices (A) and (D).

Statement (2) is sufficient. The question stem tells you that 60% of the employees are females. That means 40% of the employees are males. Statement (2) tells you that:

Female employees - male employees = 74 employees, or 60% - 40% = 20% which equals 74 employees. Since you know 20% of the total equals 74, you could find the total number of employees, and then the total number of female employees.

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