What is the difference between 25% of 200 and 25% of 300?

Understand the Problem

The question is asking for the difference between two calculations: 25% of 200 and 25% of 300. To solve this, we will first calculate 25% of each number and then subtract the smaller result from the larger one.

Answer

$25$
Answer for screen readers

The difference between 25% of 200 and 25% of 300 is $25$.

Steps to Solve

  1. Calculate 25% of 200

To find 25% of 200, we can use the formula:

$$ \text{Percentage} = \left( \frac{\text{Percentage Value}}{100} \right) \times \text{Total} $$

So, we calculate:

$$ 25% \text{ of } 200 = \left( \frac{25}{100} \right) \times 200 = 0.25 \times 200 = 50 $$

  1. Calculate 25% of 300

Next, we will calculate 25% of 300 using the same formula:

$$ 25% \text{ of } 300 = \left( \frac{25}{100} \right) \times 300 = 0.25 \times 300 = 75 $$

  1. Find the difference between the two results

Finally, we subtract the smaller result from the larger result:

$$ \text{Difference} = 75 - 50 = 25 $$

The difference between 25% of 200 and 25% of 300 is $25$.

More Information

Calculating percentages is a common task in many real-life situations, such as calculating discounts, tips, or tax. Understanding how to manipulate percentages can help in financial decision-making.

Tips

  • Forgetting to convert the percentage to a decimal form before multiplying.
  • Not subtracting the smaller number from the larger one, leading to a negative difference.
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