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The total monthly salary of all the empl...

The total monthly salary of all the employees in a company is rs 75000. To determine what is the total number of employees in that company? Which of the following information given in A and B are sufficient
A .40 employees get rs 1000 per month
B. `20%` of the employees get rs 2000 per month.

A

IF I alone is sufficient

B

If II alone is sufficient

C

I and II together are not sufficient

D

Neither I isneeded nor II is neede

Text Solution

AI Generated Solution

The correct Answer is:
To determine the total number of employees in the company based on the given information, we will analyze both pieces of information (A and B) separately and then together. ### Step 1: Analyze Information A **Given:** 40 employees get Rs 1000 per month. - Calculate the total salary paid to these 40 employees: \[ \text{Total Salary from A} = 40 \times 1000 = 40000 \text{ Rs} \] - Now, subtract this from the total monthly salary of all employees: \[ \text{Remaining Salary} = 75000 - 40000 = 35000 \text{ Rs} \] - Let \( x \) be the total number of employees in the company. The remaining employees can be calculated as: \[ \text{Remaining Employees} = x - 40 \] - We need to know the salary of these remaining employees to find \( x \). Since we do not have that information from A alone, we cannot determine the total number of employees using only information A. ### Step 2: Analyze Information B **Given:** 20% of the employees get Rs 2000 per month. - Let \( x \) be the total number of employees. Then, 20% of \( x \) is: \[ \text{Number of Employees getting Rs 2000} = 0.2x \] - The total salary paid to these employees is: \[ \text{Total Salary from B} = 0.2x \times 2000 = 400x \] - The remaining salary paid to the other employees is: \[ \text{Remaining Salary} = 75000 - 400x \] - The remaining employees would be: \[ \text{Remaining Employees} = x - 0.2x = 0.8x \] - To find the total number of employees, we need to know the salary of the remaining employees, which is not provided in B alone. Thus, we cannot determine the total number of employees using only information B. ### Step 3: Combine Information A and B Now, let's combine both pieces of information to see if we can find \( x \). From Information A: - We have 40 employees earning Rs 1000, contributing Rs 40000 to the total salary. From Information B: - We have 20% of \( x \) employees earning Rs 2000, contributing Rs 400x to the total salary. Combining these: \[ 40000 + 400x + \text{Salary of remaining employees} = 75000 \] Let the remaining employees earn \( y \) Rs per month. We can express the remaining salary as: \[ \text{Remaining Salary} = 75000 - 40000 - 400x \] However, without knowing the salary of the remaining employees, we cannot solve for \( x \) directly. ### Conclusion Neither A nor B alone is sufficient to determine the total number of employees, and even when combined, we still lack information about the salary of the remaining employees. ### Final Answer Neither A nor B is sufficient alone, and together they are also insufficient to determine the total number of employees.
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