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.
Question
Answer:
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.
solved
general
11 months ago
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