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The average salary per month of 30 emplo...

The average salary per month of 30 employees in a company is Rs. 4000. If the manager's salary is added, the average salary increases to Rs. 4300. What is the salary of the manager ?

A

77700

B

45000

C

13300

D

63000

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AI Generated Solution

The correct Answer is:
To find the salary of the manager based on the information provided, we can follow these steps: ### Step 1: Calculate the total salary of the 30 employees. The average salary of the 30 employees is Rs. 4000. Therefore, the total salary of the 30 employees can be calculated as follows: \[ \text{Total Salary of 30 Employees} = \text{Average Salary} \times \text{Number of Employees} = 4000 \times 30 \] Calculating this gives: \[ 4000 \times 30 = 120000 \] ### Step 2: Calculate the total salary when the manager is included. When the manager's salary is included, the average salary increases to Rs. 4300 for 31 individuals (30 employees + 1 manager). Thus, the total salary for 31 individuals can be calculated as follows: \[ \text{Total Salary with Manager} = \text{Average Salary with Manager} \times \text{Total Number of Individuals} = 4300 \times 31 \] Calculating this gives: \[ 4300 \times 31 = 133300 \] ### Step 3: Determine the manager's salary. To find the manager's salary, we subtract the total salary of the 30 employees from the total salary with the manager: \[ \text{Manager's Salary} = \text{Total Salary with Manager} - \text{Total Salary of 30 Employees} = 133300 - 120000 \] Calculating this gives: \[ 133300 - 120000 = 13300 \] ### Conclusion: Thus, the salary of the manager is Rs. 13,300. ---
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