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A man earns $1200 after a 20% increase in his salary. What was his original sala

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Question: A man earns $1200 after a 20% increase in his salary. What was his original salary?

Options:

  1. $1000
  2. $1100
  3. $1200
  4. $1300

Correct Answer: $1000

Solution: 

Let the original salary be x. Then, x + 0.2x = 1200. Therefore, 1.2x = 1200, x = 1200/1.2 = 1000.

A man earns $1200 after a 20% increase in his salary. What was his original sala

Practice Questions

Q1
A man earns $1200 after a 20% increase in his salary. What was his original salary?
  1. $1000
  2. $1100
  3. $1200
  4. $1300

Questions & Step-by-Step Solutions

A man earns $1200 after a 20% increase in his salary. What was his original salary?
Correct Answer: 1000
  • Step 1: Let the original salary be represented by 'x'.
  • Step 2: A 20% increase in salary means the new salary is 'x + 0.2x'.
  • Step 3: Combine 'x' and '0.2x' to get '1.2x'.
  • Step 4: Set the equation '1.2x = 1200' because the new salary is $1200.
  • Step 5: To find 'x', divide both sides of the equation by 1.2: 'x = 1200 / 1.2'.
  • Step 6: Calculate '1200 / 1.2' 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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