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what is 50 off of $30

what is 50 off of $30

2 min read 24-12-2024
what is 50 off of $30

Calculating discounts is a valuable life skill, whether you're shopping for clothes, electronics, or planning a budget. This article will clearly explain how to determine what 50% off of $30 is, and provide you with the tools to calculate other percentage discounts easily.

Understanding Percentage Discounts

A percentage discount represents a reduction in the original price of an item. "50% off" means the price is reduced by 50% of its original value. To find the discounted price, we need to calculate 50% of $30 and then subtract that amount from the original price.

Calculating 50% of $30

There are two main ways to calculate 50% of $30:

Method 1: Using Decimal Equivalents

  • Convert the percentage to a decimal: 50% is equivalent to 0.50 (divide the percentage by 100).
  • Multiply the original price by the decimal: $30 x 0.50 = $15

Method 2: Using Fractions

  • Convert the percentage to a fraction: 50% is equivalent to ½ (50/100 simplifies to ½).
  • Multiply the original price by the fraction: $30 x ½ = $15

Both methods yield the same result: $15 represents 50% of $30.

Finding the Discounted Price

Now that we know 50% of $30 is $15, we can find the final price after the discount:

  • Subtract the discount from the original price: $30 - $15 = $15

Therefore, the discounted price of an item originally costing $30 with a 50% discount is $\boxed{15}.

Calculating Other Percentage Discounts

The methods above can be applied to any percentage discount. Simply replace 50% and $30 with your desired percentage and original price. For example, to calculate 20% off of $50:

  1. Convert 20% to a decimal (0.20) or fraction (1/5).
  2. Multiply the original price by the decimal or fraction: $50 x 0.20 = $10.
  3. Subtract the discount from the original price: $50 - $10 = $40.

Frequently Asked Questions (FAQs)

Q: How do I calculate a percentage discount quickly in my head?

A: For common percentages like 50%, 25%, and 10%, it's often easiest to use fraction equivalents. 50% is ½, 25% is ¼, and 10% is ⅛. This allows for quick mental calculations.

Q: What if the discount isn't a whole number (e.g., 33.33%)?

A: Use the decimal equivalent method (33.33% = 0.3333) and a calculator for greater accuracy.

Conclusion

Calculating percentage discounts is straightforward. By understanding the basic principles and applying the methods outlined above, you can confidently determine the final price of any discounted item. Remember, 50% off of $30 is $15, resulting in a final price of $15. This skill will save you time and money in your daily life.

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