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

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

Options:

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

Correct Answer: $1000

Solution: 

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

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

Practice Questions

Q1
If a man earns $1200 after a 20% raise, what was his salary before the raise?
  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 salary before the raise?
Correct Answer: 1000
  • Step 1: Let the original salary be represented by 'x'.
  • Step 2: A 20% raise means the new salary is the original salary plus 20% of the original salary.
  • Step 3: This can be written as: new salary = x + 0.2x.
  • Step 4: Combine the terms: new salary = 1.2x.
  • Step 5: We know the new salary is $1200, so we can write the equation: 1.2x = 1200.
  • Step 6: To find 'x', divide both sides of the equation by 1.2: x = 1200 / 1.2.
  • Step 7: Calculate the division: x = 1000.
  • Step 8: Therefore, the original salary before the raise was $1000.
  • Percentage Increase – Understanding how to calculate a percentage increase and its effect on a base value.
  • Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.
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