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
- 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:
$$ 25% \text{ of } 200 = \left( \frac{25}{100} \right) \times 200 = 0.25 \times 200 = 50 $$
- Calculate 25% of 300
Next, we will calculate 25% of 300 using the same formula:
$$ 25% \text{ of } 300 = \left( \frac{25}{100} \right) \times 300 = 0.25 \times 300 = 75 $$
- 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.
