Question

6 is what percent of 120?

• A. 2%
• B. 5%
• C. 10%
• D. 20%
• E. 50%

Hint:

To quickly calculate percentages mentally, try to find a simpler fraction. For "6 is what percent of 120?", you can think "12 is 10% of 120, so 6 must be half of that, which is 5%".

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The question asks to express one number (the "part") as a percentage of another number (the "whole").
Step 2: Key Formula or Approach:
The formula to find the percentage is:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100% \]
Step 3: Detailed Explanation:
In this problem, the "part" is 6 and the "whole" is 120.
Substitute these values into the formula:
\[ \text{Percentage} = \left( \frac{6}{120} \right) \times 100% \]
First, simplify the fraction:
\[ \frac{6}{120} = \frac{1}{20} \]
Now, multiply by 100%:
\[ \text{Percentage} = \frac{1}{20} \times 100% = \frac{100}{20}% = 5% \]
Step 4: Final Answer:
6 is 5% of 120, which corresponds to option (B).