A consumer purchased a computer after a 13% price reduction ll x represents the computer's onginal price, the reduced price can be represented by

To represent the reduced price of the computer after a 13% price reduction, we can follow these steps:

1. **Original Price Representation**: Let $ x $ represent the original price of the computer.
2. **Price Reduction Calculation**: A 13% reduction means the consumer pays 87% of the original price (because $ 100\% - 13\% = 87\% $).
3. **Reduced Price Representation**: To find the reduced price, we multiply the original price by 87%, which can be written as $ 0.87 $ in decimal form.

Therefore, the reduced price $ P $ can be represented by:

\[
P = 0.87x
\]

This equation shows that the reduced price is 87% of the original price $ x $.

Would you like more details or have any questions? Here are some related questions to explore further:

1. If the original price of the computer was $500, what is the reduced price after a 13% discount?
2. How would the reduced price change if the discount were 20% instead of 13%?
3. What is the percentage discount if the reduced price is $435 and the original price was $500?
4. How do you express a 13% increase in price mathematically?
5. How can you calculate the original price given the reduced price and the percentage discount?

**Tip:** When dealing with percentage changes, converting percentages to decimals makes calculations easier and less error-prone.

Learn how to calculate the reduced price of a computer after a 13% discount using mathematical formulas and step-by-step explanation. This problem involves understanding percentages and price reduction calculations. Suitable for students in Grades 7-9.

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