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If 25% of a number is 50, what is the number?

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Question: If 25% of a number is 50, what is the number?

Options:

  1. 150
  2. 200
  3. 250
  4. 300

Correct Answer: 200

Solution: 

Let the number be x. Then, 0.25x = 50. Solving gives x = 50 / 0.25 = 200.

If 25% of a number is 50, what is the number?

Practice Questions

Q1
If 25% of a number is 50, what is the number?
  1. 150
  2. 200
  3. 250
  4. 300

Questions & Step-by-Step Solutions

If 25% of a number is 50, what is the number?
  • Step 1: Understand that 25% means 25 out of 100, which can be written as a decimal: 25% = 0.25.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for the problem: 0.25 times x equals 50. This can be written as 0.25x = 50.
  • Step 4: To find x, we need to isolate it. We can do this by dividing both sides of the equation by 0.25.
  • Step 5: Perform the division: x = 50 / 0.25.
  • Step 6: Calculate 50 divided by 0.25. This equals 200.
  • Step 7: Therefore, the number is 200.
  • Percentage Calculation – Understanding how to convert a percentage into a decimal and apply it to find the original number.
  • Algebraic Manipulation – Setting up and solving a simple algebraic equation to find an unknown variable.
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