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If 60% of a number is 240, what is the number?

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Question: If 60% of a number is 240, what is the number?

Options:

  1. 360
  2. 400
  3. 420
  4. 480

Correct Answer: 400

Solution: 

Let the number be x. Then, 0.6x = 240. Therefore, x = 240/0.6 = 400.

If 60% of a number is 240, what is the number?

Practice Questions

Q1
If 60% of a number is 240, what is the number?
  1. 360
  2. 400
  3. 420
  4. 480

Questions & Step-by-Step Solutions

If 60% of a number is 240, what is the number?
Correct Answer: 400
  • 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 = 240.
  • 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 = 240 / 0.6.
  • Step 6: Calculate the result: 240 divided by 0.6 equals 400.
  • Step 7: Therefore, the number is 400.
  • Percentage Calculation – Understanding how to calculate a number based on a given percentage of it.
  • Algebraic Manipulation – Using algebra to isolate the variable and solve for it.
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