Shopping is undoubtedly more enjoyable when we get a good deal. Sales and discounts are a great way to save money on our purchases. However, knowing how to calculate the percentage discount can sometimes be confusing. In this article, we will tackle common questions regarding percentage discounts and provide clear answers to help you shop smarter and save more.

What is a percentage discount?

A percentage discount is a reduction in the original price of a product, expressed as a percentage. It allows customers to pay less than the regular price. Retailers often offer percentage discounts to attract customers and increase sales.

How do I calculate the percentage discount?

Calculating the percentage discount is quite easy. Simply subtract the discounted price from the original price and divide that result by the original price. Multiply the answer by 100 to express it as a percentage.

Percentage Discount = ((Original Price – Discounted Price) / Original Price) * 100

For example, if a product initially costs $100 and is on sale for $75, the percentage discount would be ((100 – 75) / 100) * 100 = 25%. Therefore, you would save 25% off the original price.

Can I calculate the final price directly without finding the percentage discount?

Yes, you can calculate the final price without finding the percentage discount. To do this, multiply the original price by (1 – percentage discount expressed as a decimal). This equation will give you the final price after the discount is applied.

Final Price = Original Price * (1 – Percentage Discount / 100)

For instance, suppose you are looking to buy a pair of shoes with an original price of $80 and a 30% discount. Using the equation, the final price would be $80 * (1 – 30 / 100) = $80 * (0.7) = $56. You would pay $56 for the shoes after the discount is applied.

Is it possible to calculate the original price with only the discounted price and percentage discount known?

Yes, it is possible to calculate the original price with only the discounted price and percentage discount known. To find the original price, divide the discounted price by (1 – percentage discount expressed as a decimal).

Original Price = Discounted Price / (1 – Percentage Discount / 100)

For example, if you see a shirt on sale for $36 with a 40% discount, you can find the original price using this formula: $36 / (1 – 40 / 100) = $36 / (0.6) = $60. The original price of the shirt was $60.

Understanding how to calculate the percentage discount when shopping can significantly benefit your wallet. Knowing the formulas to determine the percentage discount, final price, and original price based on available information empowers consumers to make informed purchase decisions. By taking advantage of sales and discounts, you can stretch your dollar further and enjoy the satisfaction of finding great deals. Happy shopping!

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