Math Problem Statement
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
Solution
To represent the reduced price of the computer after a 13% price reduction, we can follow these steps:
- Original Price Representation: Let represent the original price of the computer.
- Price Reduction Calculation: A 13% reduction means the consumer pays 87% of the original price (because ).
- Reduced Price Representation: To find the reduced price, we multiply the original price by 87%, which can be written as in decimal form.
Therefore, the reduced price can be represented by:
This equation shows that the reduced price is 87% of the original price .
Would you like more details or have any questions? Here are some related questions to explore further:
- If the original price of the computer was $500, what is the reduced price after a 13% discount?
- How would the reduced price change if the discount were 20% instead of 13%?
- What is the percentage discount if the reduced price is $435 and the original price was $500?
- How do you express a 13% increase in price mathematically?
- 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.
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Math Problem Analysis
Mathematical Concepts
Percentage
Price Reduction
Formulas
Percentage reduction formula
Theorems
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Suitable Grade Level
Grades 7-9
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