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If 20% of a number is 50, what is the number?

Practice Questions

Q1
If 20% of a number is 50, what is the number?
  1. 200
  2. 250
  3. 300
  4. 400

Questions & Step-by-Step Solutions

If 20% of a number is 50, what is the number?
Correct Answer: 250
  • Step 1: Understand that 20% means 20 out of 100, which can be written as a decimal: 20% = 0.2.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for 20% of 'x': 0.2 * x = 50.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.2.
  • Step 5: Perform the division: x = 50 / 0.2.
  • Step 6: Calculate 50 divided by 0.2, which equals 250.
  • Step 7: Conclude that the number is 250.
  • Percentage Calculation – Understanding how to calculate a percentage of a number and how to set up an equation based on that percentage.
  • Algebraic Manipulation – Using algebra to isolate the variable and solve for the unknown number.
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