Have you ever been shopping and found a great deal on a discounted item, but wondered what the original price of the item was? Calculating the original price of a discounted item can be a useful skill to have, especially when you want to compare prices or evaluate the value of a sale. In this article, we will guide you through the process of calculating the original price of a discounted item and answer some common questions related to this topic.

Why is it important to calculate the original price of a discounted item?

Calculating the original price allows you to understand the level of discount you are getting. It helps you evaluate whether a sale or discount is truly worth it and allows you to compare prices across different stores or platforms.

What information do you need to calculate the original price?

To calculate the original price of a discounted item, you need two pieces of information: the discounted price and the discount percentage. These can usually be found on the price tag or in the sales promotion.

How do you calculate the original price?

The formula to calculate the original price is as follows: Original Price = Discounted Price / (1 – (Discount Percentage / 100)). This formula takes into account both the discounted price and the discount percentage to determine the original price.

Can you provide an example?

Absolutely! Let’s say you found a pair of shoes on sale for $80 and the discount is 20%. To calculate the original price, you would use the formula: Original Price = $80 / (1 – (20 / 100)). Simplifying this equation, we have: Original Price = $80 / (1 – 0.20). Continuing to solve the equation, we find: Original Price = $80 / 0.80. Finally, dividing $80 by 0.80 gives us an original price of $100.

Are there any shortcuts or quick mental calculations for calculating the original price?

Yes, there is a simple mental calculation that you can use for a rough estimate. If the discount is a whole number percentage, you can approximate the original price by multiplying the discounted price by the reciprocal of the discount percentage. For example, for a 20% discount, you would multiply the discounted price by 5 (1/0.20).

What if the discount is not a whole number percentage?

If the discount is not a whole number percentage, you can still use the mental calculation by rounding the discount to the nearest whole number. This approximation will give you a fairly accurate estimate of the original price.

Can you calculate the original price if you have the discounted amount in dollars instead of a percentage?

Yes, you can. In this case, you need to know both the discounted price and the specific dollar amount saved. The formula to calculate the original price is: Original Price = Discounted Price + Amount Saved. This formula is straightforward and only requires the two values mentioned.

Calculating the original price of a discounted item doesn’t have to be a complicated task. By following the formula provided and utilizing the mental calculations mentioned, you can quickly and accurately calculate the original price. This skill can help you make better shopping decisions, compare prices effectively, and ensure that you are truly getting a good deal. So, the next time you come across a discounted item, don’t hesitate to determine its original price and evaluate its true value!

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