Question

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

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Rasheed

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90 Answers

1. **Original Price (\(P_{\text{original}}\)) :** This is the initial price of the product before the discount is applied. In this case, \(P_{\text{original}} = \$1000\).
2. **Discount Rate ((r)):** This is the percentage of the discount. In this case, (r = 25%), which can be represented as a decimal as (0.25).
3. **Final Price (\(P_{\text{final}}\)): ** This is the price you will pay after the discount is applied. This is what we want to calculate.
Now, let's develop an algorithm to calculate the final price:
Algorithm:
1. Read the original price \(P_{\text{original}}\).
2. Read the discount rate (r) (as a decimal).
3. Calculate the discount amount ((D)):
\[D = P_{\text{original}} \times r\]
4. Calculate the final price (\(P_{\text{final}}\)):
\[P_{\text{final}} = P_{\text{original}} - D\]
5. Display or output \(P_{\text{final}}\).
For example, applying this algorithm to the given scenario:
1. \(P_{\text{original}} = \$1000\)
2. (r = 0.25) (since 25% is represented as 0.25 in decimal form)
Using the algorithm:
3. Calculate the discount amount:
\[D = \$1000 \times 0.25 = \$250\]
4. Calculate the final price:
\[P_{\text{final}} = \$1000 - \$250 = \$750\]
5. Display or output \(P_{\text{final}} = \$750\).
So, after applying a 25% discount, the final price you will pay is $750.

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