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If 60% of a number is 120, what is the number?

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Question: If 60% of a number is 120, what is the number?

Options:

  1. 150
  2. 180
  3. 200
  4. 250

Correct Answer: 200

Solution: 

Let the number be x. 0.6x = 120, x = 120/0.6 = 200

If 60% of a number is 120, what is the number?

Practice Questions

Q1
If 60% of a number is 120, what is the number?
  1. 150
  2. 180
  3. 200
  4. 250

Questions & Step-by-Step Solutions

If 60% of a number is 120, what is the number?
Correct Answer: 200
  • Step 1: Understand that 60% means 60 out of 100, or 0.6 in decimal form.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for 60% of 'x': 0.6 * x = 120.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.6.
  • Step 5: Perform the division: x = 120 / 0.6.
  • Step 6: Calculate the result: 120 divided by 0.6 equals 200.
  • Step 7: Therefore, the number is 200.
  • Percentage Calculation – Understanding how to calculate a percentage of a number and how to set up an equation based on that percentage.
  • Algebraic Manipulation – Solving for a variable in an equation, specifically isolating x in the equation 0.6x = 120.
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