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If 60% of a number is 120, what is 80% of the same number?

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Question: If 60% of a number is 120, what is 80% of the same number?

Options:

  1. 160
  2. 180
  3. 200
  4. 240

Correct Answer: 200

Solution:

Let the number be x. Then, 60% of x = 120. So, x = 120 / 0.6 = 200. Therefore, 80% of x = 0.8 * 200 = 160.

If 60% of a number is 120, what is 80% of the same number?

Practice Questions

Q1
If 60% of a number is 120, what is 80% of the same number?
  1. 160
  2. 180
  3. 200
  4. 240

Questions & Step-by-Step Solutions

If 60% of a number is 120, what is 80% of the same number?
  • Step 1: Understand that we need to find a number (let's call it x) where 60% of x equals 120.
  • Step 2: Write the equation for 60% of x: 0.6 * x = 120.
  • Step 3: To find x, divide both sides of the equation by 0.6: x = 120 / 0.6.
  • Step 4: Calculate 120 divided by 0.6, which gives you x = 200.
  • Step 5: Now, we need to find 80% of this number (200).
  • Step 6: Write the equation for 80% of x: 0.8 * x = 0.8 * 200.
  • Step 7: Calculate 0.8 times 200, which equals 160.
  • Percentage Calculation – Understanding how to calculate percentages of a number and manipulate equations involving percentages.
  • Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns.
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