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If a number is increased by 20% and the result is 120, what was the original num

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Question: If a number is increased by 20% and the result is 120, what was the original number?

Options:

  1. 100
  2. 90
  3. 80
  4. 70

Correct Answer: 100

Solution: 

Let the original number be x. Then, x + 0.2x = 120, which gives 1.2x = 120. Therefore, x = 120 / 1.2 = 100.

If a number is increased by 20% and the result is 120, what was the original num

Practice Questions

Q1
If a number is increased by 20% and the result is 120, what was the original number?
  1. 100
  2. 90
  3. 80
  4. 70

Questions & Step-by-Step Solutions

If a number is increased by 20% and the result is 120, what was the original number?
  • Step 1: Let the original number be represented as 'x'.
  • Step 2: When the number is increased by 20%, it becomes 'x + 0.2x'.
  • Step 3: Combine 'x' and '0.2x' to get '1.2x'.
  • Step 4: Set the equation '1.2x = 120' because the result after the increase is 120.
  • Step 5: To find 'x', divide both sides of the equation by 1.2: 'x = 120 / 1.2'.
  • Step 6: Calculate '120 / 1.2' to find the value of 'x'.
  • Step 7: The result is 'x = 100', which is the original number.
  • Percentage Increase – Understanding how to calculate a percentage increase and its effect on a number.
  • Algebraic Manipulation – Using algebra to isolate variables and solve equations.
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