Question
Logical Reasoning Question on Data Sufficiency
The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
A company has two kinds of employees - supervisors and clerks. The total monthly salary of the employees is Rs.2,85,000. What is the total number of employees in that company?
A. The ratio of the number of supervisors to that of clerks in the company is 4:5.
B. The total monthly salary of all the supervisors is 28% more than that of clerks.
20% of the clerk's monthly salary is Rs.25,000.
Only A and B together
Only A and C together
Only C
Question can't be answered even after using all the information
Question can't be answered even after using all the information
Solution
Let's analyze the statements:
Statement A: The ratio of supervisors to clerks is 4:5, but it doesn’t provide the total number of employees.
Statement B: The total monthly salary of supervisors is 28% more than that of clerks, but it doesn't give the total number of employees.
Statement C: 20% of clerks' monthly salary is Rs. 25,000, giving salary info but no details on supervisors or total employees.
Combinations:
1. A and B together : Provides the ratio and salary relationship but not the total number of employees.
2. A and C together : Gives the ratio and clerks' salary but still not enough for the total number of employees.
3. C alone : Provides salary info for clerks but not for supervisors or total employees.
4. All statements combined : Still insufficient to determine the total number of employees.
So, the correct option is (D) : The question can't be answered even after using all the information.