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If a man earns $1200 after a 20% raise, what was his original salary?

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Question: If a man earns $1200 after a 20% raise, what was his original salary?

Options:

  1. $900
  2. $1000
  3. $1100
  4. $1200

Correct Answer: $1000

Solution: 

Let the original salary be x. After a 20% raise, x + 0.2x = 1.2x = 1200. Thus, x = 1200 / 1.2 = 1000.

If a man earns $1200 after a 20% raise, what was his original salary?

Practice Questions

Q1
If a man earns $1200 after a 20% raise, what was his original salary?
  1. $900
  2. $1000
  3. $1100
  4. $1200

Questions & Step-by-Step Solutions

If a man earns $1200 after a 20% raise, what was his original salary?
Correct Answer: 1000
  • Step 1: Let the original salary be represented by the variable x.
  • Step 2: A 20% raise means the man earns 20% more than his original salary. This can be expressed as x + 0.2x.
  • Step 3: Combine the terms: x + 0.2x equals 1.2x.
  • Step 4: We know that after the raise, the man earns $1200. So we can set up the equation: 1.2x = 1200.
  • Step 5: To find the original salary (x), divide both sides of the equation by 1.2: x = 1200 / 1.2.
  • Step 6: Calculate the division: 1200 divided by 1.2 equals 1000.
  • Step 7: Therefore, the original salary was $1000.
  • Percentage Increase – Understanding how to calculate the original amount before a percentage increase is applied.
  • Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.
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