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If a salary of $50,000 is increased by 10% and then decreased by 10%, what is th

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Question: If a salary of $50,000 is increased by 10% and then decreased by 10%, what is the final salary?

Options:

  1. $50,000
  2. $49,500
  3. $51,000
  4. $52,000

Correct Answer: $49,500

Solution:

New salary after increase = 50000 * 1.10 = $55,000. After decrease = 55000 * 0.90 = $49,500.

If a salary of $50,000 is increased by 10% and then decreased by 10%, what is th

Practice Questions

Q1
If a salary of $50,000 is increased by 10% and then decreased by 10%, what is the final salary?
  1. $50,000
  2. $49,500
  3. $51,000
  4. $52,000

Questions & Step-by-Step Solutions

If a salary of $50,000 is increased by 10% and then decreased by 10%, what is the final salary?
  • Step 1: Start with the original salary of $50,000.
  • Step 2: Calculate the increase by multiplying the salary by 10%. This is done by multiplying $50,000 by 1.10 (which represents the original salary plus 10%).
  • Step 3: The result of the increase is $55,000.
  • Step 4: Now, calculate the decrease by taking the new salary of $55,000 and multiplying it by 10% decrease. This is done by multiplying $55,000 by 0.90 (which represents the new salary minus 10%).
  • Step 5: The result after the decrease is $49,500.
  • Percentage Increase and Decrease – Understanding how to apply percentage changes sequentially to a value.
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