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.
a. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
b. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
c. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
d. EITHER statement BY ITSELF is sufficient to answer the question.
e. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
answer: b
I know why stmt 1 is not sufficient. I need to know why stmt 2 is sufficient. Here is the explanation, but i don't get it where the 20% comes from.
Statement (2): SUFFICIENT
If there are 74 more female employees than male, and the percent difference between male and female is 20%, then we have sufficient information. Let x = total number of employees. Then 20% of x is 74. We could solve for the total number of employees, and then find the number female employees.
(1) Company X has more than 150 employees.
(2) Company X has 74 more female employees than male employees.
a. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
b. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
c. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
d. EITHER statement BY ITSELF is sufficient to answer the question.
e. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.
answer: b
I know why stmt 1 is not sufficient. I need to know why stmt 2 is sufficient. Here is the explanation, but i don't get it where the 20% comes from.
Statement (2): SUFFICIENT
If there are 74 more female employees than male, and the percent difference between male and female is 20%, then we have sufficient information. Let x = total number of employees. Then 20% of x is 74. We could solve for the total number of employees, and then find the number female employees.
