Question
During a sale, a store offered a 10% discount on a tablet computer that originally sold for $400. After the sale, the discounted price of the tablet computer was marked up by 10%. What was the price of the tablet computer after the markup? Round to the nearest cent.
Answers
GPT-4o mini
To find the price of the tablet computer after the markup, we will first calculate the discounted price from the original price and then apply the markup.
1. **Original Price**: $400
2. **Calculate the Discount**:
The discount rate is 10% of the original price.
\[
\text{Discount} = 10\% \times 400 = 0.10 \times 400 = 40
\]
3. **Calculate the Discounted Price**:
Subtract the discount from the original price.
\[
\text{Discounted Price} = 400 - 40 = 360
\]
4. **Calculate the Markup**:
The markup rate is also 10% of the discounted price.
\[
\text{Markup} = 10\% \times 360 = 0.10 \times 360 = 36
\]
5. **Calculate the Price After the Markup**:
Add the markup to the discounted price.
\[
\text{Price After Markup} = 360 + 36 = 396
\]
Thus, the price of the tablet computer after the markup is \(\boxed{396.00}\).
1. **Original Price**: $400
2. **Calculate the Discount**:
The discount rate is 10% of the original price.
\[
\text{Discount} = 10\% \times 400 = 0.10 \times 400 = 40
\]
3. **Calculate the Discounted Price**:
Subtract the discount from the original price.
\[
\text{Discounted Price} = 400 - 40 = 360
\]
4. **Calculate the Markup**:
The markup rate is also 10% of the discounted price.
\[
\text{Markup} = 10\% \times 360 = 0.10 \times 360 = 36
\]
5. **Calculate the Price After the Markup**:
Add the markup to the discounted price.
\[
\text{Price After Markup} = 360 + 36 = 396
\]
Thus, the price of the tablet computer after the markup is \(\boxed{396.00}\).
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