C is a positive number. What % of 500 C, is 500% of C?

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Points to Remember:

  • The question involves percentage calculations.
  • We need to find what percentage of 500C is equal to 500% of C.
  • The solution requires understanding of percentage calculations and algebraic manipulation.

Introduction:

This question tests the understanding of percentage calculations. A percentage is a fraction or ratio expressed as a number out of 100. For example, 50% is equivalent to 50/100 or 0.5. The question asks us to determine the percentage relationship between two expressions involving the variable C, where C is a positive number. This is a factual and analytical question requiring mathematical calculation.

Body:

1. Expressing the Given Values:

  • 500% of C can be written as (500/100) * C = 5C.

2. Setting up the Equation:

Let x be the percentage we are looking for. We can express the problem as an equation:

x% of 500C = 5C

This can be written as:

(x/100) * 500C = 5C

3. Solving for x:

We can solve this equation for x:

(x/100) * 500 = 5 (Since C is a positive number and appears on both sides, we can cancel it out)

5x = 500

x = 500/5

x = 100

4. Interpretation:

Therefore, 100% of 500C is equal to 500% of C.

Conclusion:

In summary, we found that 100% of 500C is equal to 500% of C. This was achieved by translating the problem into an algebraic equation, simplifying the equation by canceling out the common variable C, and solving for the unknown percentage. The solution highlights the importance of understanding percentage calculations and their application in solving mathematical problems. This straightforward calculation demonstrates a fundamental concept in mathematics, emphasizing the importance of precise and accurate calculations in various fields. No further policy recommendations or best practices are needed as this is a purely mathematical problem.

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