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If a salary is increased by 25% and the new salary is $50,000, what was the orig

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Question: If a salary is increased by 25% and the new salary is $50,000, what was the original salary?

Options:

  1. $40,000
  2. $45,000
  3. $35,000
  4. $30,000

Correct Answer: $40,000

Solution: 

Let the original salary be x. Then, x + 0.25x = 50000 => 1.25x = 50000 => x = 50000 / 1.25 = $40,000.

If a salary is increased by 25% and the new salary is $50,000, what was the orig

Practice Questions

Q1
If a salary is increased by 25% and the new salary is $50,000, what was the original salary?
  1. $40,000
  2. $45,000
  3. $35,000
  4. $30,000

Questions & Step-by-Step Solutions

If a salary is increased by 25% and the new salary is $50,000, what was the original salary?
  • Step 1: Let the original salary be represented by 'x'.
  • Step 2: When the salary is increased by 25%, it becomes 'x + 0.25x'.
  • Step 3: Combine 'x' and '0.25x' to get '1.25x'.
  • Step 4: Set the equation '1.25x = 50000' because the new salary is $50,000.
  • Step 5: To find 'x', divide both sides of the equation by 1.25: 'x = 50000 / 1.25'.
  • Step 6: Calculate '50000 / 1.25' to find the original salary.
  • Percentage Increase – Understanding how to calculate the original value before a percentage increase is applied.
  • Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.
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