Question

The questions given below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
The number of employees from company A and B is 900 and 1015 respectively. Number of male employees from A is what percent of the number of female employees from A?
Statement I: The number of male employees from B is 10% more than that of the number of male employees from A. The number of female employees from B is 15% more than that of the number of female employees from A.
Statement II: The number of female employees from B is 175 more than that of the number of female employees from A and the difference between the number of male and female employees from B is 135.

• A. Statement I alone is sufficient, whereas Statement II alone is not sufficient.
• B. Statement II alone is sufficient, whereas Statement I alone is not sufficient.
• C. Either Statement I alone or Statement II alone is sufficient.
• D. Both the statements together are necessary.
• E. Both the statements together are not sufficient.

Hint:

In data sufficiency questions, carefully analyze what each statement provides. If a statement gives enough information to answer the question directly or indirectly, it is considered sufficient.

Answer 1

The Correct Option is C

Step 1: Analyze Statement I.
Statement I gives us relationships between the male and female employees in both companies, but it doesn't directly provide the data we need to calculate the percentage of male employees in company A compared to the female employees in company A. However, it provides enough data to indirectly calculate the required percentage using the total number of employees and the percentage relationships. Thus, Statement I alone is sufficient.
Step 2: Analyze Statement II.
Statement II provides the number of female employees in both companies and the difference between the male and female employees from company B. This data is also sufficient to calculate the percentage of male employees from company A relative to the female employees of company A, since the total number of employees is given and the difference between males and females from company B can provide a relationship for males in company A as well. Thus, Statement II alone is sufficient.
Step 3: Conclusion.
Since both Statement I and Statement II individually provide enough information to solve the problem, the correct answer is (C).