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:

  1. Original Price Representation: Let xx 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%100\% - 13\% = 87\%).
  3. Reduced Price Representation: To find the reduced price, we multiply the original price by 87%, which can be written as 0.870.87 in decimal form.

Therefore, the reduced price PP can be represented by:

P=0.87xP = 0.87x

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

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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Percentage
Price Reduction

Formulas

Percentage reduction formula

Theorems

-

Suitable Grade Level

Grades 7-9