Charlie Bought A Pair Of Shorts At The Store During A 45 % 45\% 45% Off Sale. If The Regular Price Of The Shorts Was $ 24 \$24 $24 , How Much Did Charlie Pay?

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Introduction

When shopping, it's not uncommon to come across items on sale, with discounts ranging from a few percent to as high as 50% or more. In this scenario, we'll explore how to calculate the price Charlie paid for a pair of shorts after a 45%45\% off sale. Understanding the impact of sales on regular prices is essential for making informed purchasing decisions and maximizing savings.

Calculating the Discounted Price

To find the price Charlie paid, we need to calculate the amount of the discount and subtract it from the regular price of the shorts. The regular price of the shorts was $24\$24, and the discount is 45%45\%. To find the amount of the discount, we multiply the regular price by the discount percentage.

Calculating the Amount of the Discount

The amount of the discount is calculated as follows:

Amount of Discount=Regular Price×Discount Percentage\text{Amount of Discount} = \text{Regular Price} \times \text{Discount Percentage}

Amount of Discount=$24×0.45\text{Amount of Discount} = \$24 \times 0.45

Amount of Discount=$10.80\text{Amount of Discount} = \$10.80

Calculating the Discounted Price

Now that we have the amount of the discount, we can subtract it from the regular price to find the price Charlie paid.

Discounted Price=Regular Price−Amount of Discount\text{Discounted Price} = \text{Regular Price} - \text{Amount of Discount}

Discounted Price=$24−$10.80\text{Discounted Price} = \$24 - \$10.80

Discounted Price=$13.20\text{Discounted Price} = \$13.20

Conclusion

In conclusion, Charlie paid $13.20\$13.20 for the pair of shorts after a 45%45\% off sale. Understanding how to calculate the discounted price is essential for making informed purchasing decisions and maximizing savings. By following the steps outlined in this article, you can easily calculate the price you'll pay for items on sale and make the most of your shopping experience.

Real-World Applications

Calculating discounted prices is a valuable skill that can be applied in various real-world scenarios. For example, when shopping online, you may come across items with discounts or promo codes that can be applied to your purchase. By understanding how to calculate the discounted price, you can make informed decisions about which items to purchase and how much to spend.

Tips for Maximizing Savings

To maximize your savings when shopping, consider the following tips:

  • Compare prices: Research the item you're interested in and compare prices across different stores or online retailers to find the best deal.
  • Look for promo codes: Check for promo codes or discounts that can be applied to your purchase.
  • Use cashback apps: Consider using cashback apps that offer rewards or cashback on your purchases.
  • Buy in bulk: Purchasing items in bulk can often lead to significant savings, especially on non-perishable items.

By following these tips and understanding how to calculate the discounted price, you can make the most of your shopping experience and maximize your savings.

Common Mistakes to Avoid

When calculating the discounted price, there are several common mistakes to avoid:

  • Not accounting for taxes: Failing to account for taxes when calculating the discounted price can lead to incorrect results.
  • Not considering additional fees: Failing to consider additional fees, such as shipping or handling fees, can lead to incorrect results.
  • Not using the correct discount percentage: Using the incorrect discount percentage can lead to incorrect results.

By avoiding these common mistakes and following the steps outlined in this article, you can ensure accurate calculations and make informed purchasing decisions.

Conclusion

In conclusion, calculating the discounted price is a valuable skill that can be applied in various real-world scenarios. By understanding how to calculate the discounted price, you can make informed decisions about which items to purchase and how much to spend. By following the tips outlined in this article and avoiding common mistakes, you can maximize your savings and make the most of your shopping experience.

Introduction

Calculating the discounted price of an item can be a complex task, especially when considering various factors such as taxes, additional fees, and discount percentages. In this article, we'll address some of the most frequently asked questions related to discounted prices and sales.

Q: What is the formula for calculating the discounted price?

A: The formula for calculating the discounted price is:

Discounted Price=Regular Price−Amount of Discount\text{Discounted Price} = \text{Regular Price} - \text{Amount of Discount}

Where:

  • Regular Price\text{Regular Price} is the original price of the item
  • Amount of Discount\text{Amount of Discount} is the amount of the discount, calculated as:

Amount of Discount=Regular Price×Discount Percentage\text{Amount of Discount} = \text{Regular Price} \times \text{Discount Percentage}

Q: How do I calculate the amount of the discount?

A: To calculate the amount of the discount, multiply the regular price by the discount percentage. For example, if the regular price is $24\$24 and the discount is 45%45\%, the amount of the discount would be:

Amount of Discount=$24×0.45\text{Amount of Discount} = \$24 \times 0.45

Amount of Discount=$10.80\text{Amount of Discount} = \$10.80

Q: What if the discount is not a percentage?

A: If the discount is not a percentage, you can still calculate the amount of the discount by dividing the discount amount by the regular price. For example, if the regular price is $24\$24 and the discount is $10.80\$10.80, the discount percentage would be:

Discount Percentage=Discount AmountRegular Price\text{Discount Percentage} = \frac{\text{Discount Amount}}{\text{Regular Price}}

Discount Percentage=$10.80$24\text{Discount Percentage} = \frac{\$10.80}{\$24}

Discount Percentage=0.45\text{Discount Percentage} = 0.45

Q: How do I calculate the discounted price if there are additional fees?

A: To calculate the discounted price with additional fees, you need to add the additional fees to the regular price before applying the discount. For example, if the regular price is $24\$24 and there is an additional fee of $5\$5, the total price would be:

Total Price=Regular Price+Additional Fee\text{Total Price} = \text{Regular Price} + \text{Additional Fee}

Total Price=$24+$5\text{Total Price} = \$24 + \$5

Total Price=$29\text{Total Price} = \$29

Then, apply the discount to the total price:

Discounted Price=Total Price−Amount of Discount\text{Discounted Price} = \text{Total Price} - \text{Amount of Discount}

Q: What if the discount is not a fixed amount?

A: If the discount is not a fixed amount, you can still calculate the discounted price by using the discount percentage. For example, if the regular price is $24\$24 and the discount is 20%20\% off the first $10\$10 and 10%10\% off the remaining amount, the amount of the discount would be:

Amount of Discount=$10×0.20+($24−$10)×0.10\text{Amount of Discount} = \$10 \times 0.20 + (\$24 - \$10) \times 0.10

Amount of Discount=$2+$1.40\text{Amount of Discount} = \$2 + \$1.40

Amount of Discount=$3.40\text{Amount of Discount} = \$3.40

Q: How do I calculate the discounted price if there are taxes?

A: To calculate the discounted price with taxes, you need to add the taxes to the regular price before applying the discount. For example, if the regular price is $24\$24 and the tax rate is 8%8\%, the total price would be:

Total Price=Regular Price+Tax Amount\text{Total Price} = \text{Regular Price} + \text{Tax Amount}

Tax Amount=Regular Price×Tax Rate\text{Tax Amount} = \text{Regular Price} \times \text{Tax Rate}

Tax Amount=$24×0.08\text{Tax Amount} = \$24 \times 0.08

Tax Amount=$1.92\text{Tax Amount} = \$1.92

Total Price=$24+$1.92\text{Total Price} = \$24 + \$1.92

Total Price=$25.92\text{Total Price} = \$25.92

Then, apply the discount to the total price:

Discounted Price=Total Price−Amount of Discount\text{Discounted Price} = \text{Total Price} - \text{Amount of Discount}

Conclusion

Calculating the discounted price can be a complex task, but by understanding the formulas and concepts outlined in this article, you can make informed decisions about which items to purchase and how much to spend. Remember to consider various factors such as taxes, additional fees, and discount percentages when calculating the discounted price.