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A company has 100 employees with an average salary of $5000. If 10 employees lea

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Question: A company has 100 employees with an average salary of $5000. If 10 employees leave with an average salary of $6000, what is the new average salary?

Options:

  1. $4900
  2. $4950
  3. $5000
  4. $5050

Correct Answer: $4950

Solution:

Total salary of 100 employees = 100 * 5000 = $500000. Total salary of 10 employees leaving = 10 * 6000 = $60000. New total salary = 500000 - 60000 = $440000. New average = 440000 / 90 = $4888.89, which rounds to $4900.

A company has 100 employees with an average salary of $5000. If 10 employees lea

Practice Questions

Q1
A company has 100 employees with an average salary of $5000. If 10 employees leave with an average salary of $6000, what is the new average salary?
  1. $4900
  2. $4950
  3. $5000
  4. $5050

Questions & Step-by-Step Solutions

A company has 100 employees with an average salary of $5000. If 10 employees leave with an average salary of $6000, what is the new average salary?
  • Step 1: Calculate the total salary of all 100 employees. Multiply the number of employees (100) by the average salary ($5000). Total salary = 100 * 5000 = $500000.
  • Step 2: Calculate the total salary of the 10 employees who are leaving. Multiply the number of employees leaving (10) by their average salary ($6000). Total salary of leaving employees = 10 * 6000 = $60000.
  • Step 3: Calculate the new total salary after the 10 employees leave. Subtract the total salary of the leaving employees ($60000) from the original total salary ($500000). New total salary = 500000 - 60000 = $440000.
  • Step 4: Calculate the new number of employees remaining. Subtract the number of employees who left (10) from the original number of employees (100). New number of employees = 100 - 10 = 90.
  • Step 5: Calculate the new average salary. Divide the new total salary ($440000) by the new number of employees (90). New average salary = 440000 / 90 = $4888.89.
  • Step 6: Round the new average salary to the nearest hundred. $4888.89 rounds to $4900.
  • Average Salary Calculation – Understanding how to calculate the average salary by considering total salary and number of employees.
  • Impact of Employee Departure – Analyzing how the departure of employees with a higher average salary affects the overall average.
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