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

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

Options:

  1. $1000
  2. $1100
  3. $900
  4. $950

Correct Answer: $1000

Solution: 

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

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

Practice Questions

Q1
If a person earns $1200 after a 20% raise, what was his salary before the raise?
  1. $1000
  2. $1100
  3. $900
  4. $950

Questions & Step-by-Step Solutions

If a person 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 the variable x.
  • Step 2: A 20% raise means the salary increases by 20% of x, which is 0.2x.
  • Step 3: After the raise, the new salary is the original salary plus the raise: x + 0.2x.
  • Step 4: Combine the terms: x + 0.2x equals 1.2x.
  • Step 5: We know the new salary after the raise is $1200, so we can write the equation: 1.2x = 1200.
  • Step 6: To find the original salary x, divide both sides of the equation by 1.2: x = 1200 / 1.2.
  • Step 7: Calculate the division: 1200 divided by 1.2 equals $1000.
  • Percentage Increase – Understanding how to calculate the original amount before a percentage increase.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.
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