Question
Marisa found a shin that had a \( 20 \% \) markdonn on it. If the price of the shirt is represented by \( x \), then how much does the shirt cost (axclurfing tax)? A. 0.202 B. 0.801 C. \( z=0.80 \mathrm{x} \) D. \( x(0.20+1.00) \)
Ask by Harris Fitzgerald. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The shirt costs \( 0.80x \).
Solution
To solve the problem, we need to determine the cost of the shirt after applying a \( 20\% \) markdown.
1. **Understanding the markdown**: A \( 20\% \) markdown means that the shirt is being sold for \( 80\% \) of its original price. This is because \( 100\% - 20\% = 80\% \).
2. **Expressing the cost**: If the original price of the shirt is represented by \( x \), then the price after the markdown can be calculated as:
\[
\text{Price after markdown} = 0.80 \times x
\]
3. **Identifying the options**:
- A. \( 0.202 \)
- B. \( 0.801 \)
- C. \( z = 0.80 \mathrm{x} \)
- D. \( x(0.20 + 1.00) \)
4. **Analyzing the options**:
- Option C, \( z = 0.80 \mathrm{x} \), correctly represents the price after the markdown.
- Option D, \( x(0.20 + 1.00) = x(1.20) \), represents a price that is \( 20\% \) more than the original price, which is incorrect for a markdown.
Thus, the correct answer is:
**C. \( z = 0.80 \mathrm{x} \)**.
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Simplify this solution Bonus Knowledge
Marisa discovered a shirt that had a \( 20\% \) markdown, which means that she pays \( 80\% \) of the original price. Thus, the cost of the shirt can be represented as \( 0.80x \). This represents retaining \( 80\% \) of the original price ($x$) after the discount. If you want to incorporate taxes into the final cost, you would multiply the price after the discount by the tax rate plus one (to include the original price). If the tax rate is \( t \), the cost would then be represented as \( 0.80x(1+t) \). This method ensures that you're accounting for both the markdown and the tax appropriately!
