Question
Vijay bought a camera that was marked down 80% from an original price of $355. If he paid 4% sales tax, what was the total cost of the camera?
Answers
GPT-4o mini
To find the total cost of the camera that Vijay bought after the discount and including sales tax, we can follow these steps:
1. **Calculate the discount amount.**
The original price of the camera is $355, and it was marked down by 80%.
\[
\text{Discount} = \text{Original Price} \times \text{Discount Percentage} = 355 \times 0.80
\]
\[
\text{Discount} = 284
\]
2. **Calculate the sale price of the camera.**
The sale price after the discount is given by:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 355 - 284
\]
\[
\text{Sale Price} = 71
\]
3. **Calculate the sales tax.**
The sale price is $71, and the sales tax rate is 4%.
\[
\text{Sales Tax} = \text{Sale Price} \times \text{Sales Tax Rate} = 71 \times 0.04
\]
\[
\text{Sales Tax} = 2.84
\]
4. **Calculate the total cost of the camera.**
The total cost is the sum of the sale price and the sales tax:
\[
\text{Total Cost} = \text{Sale Price} + \text{Sales Tax} = 71 + 2.84
\]
\[
\text{Total Cost} = 73.84
\]
Therefore, the total cost of the camera is **$73.84**.
1. **Calculate the discount amount.**
The original price of the camera is $355, and it was marked down by 80%.
\[
\text{Discount} = \text{Original Price} \times \text{Discount Percentage} = 355 \times 0.80
\]
\[
\text{Discount} = 284
\]
2. **Calculate the sale price of the camera.**
The sale price after the discount is given by:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 355 - 284
\]
\[
\text{Sale Price} = 71
\]
3. **Calculate the sales tax.**
The sale price is $71, and the sales tax rate is 4%.
\[
\text{Sales Tax} = \text{Sale Price} \times \text{Sales Tax Rate} = 71 \times 0.04
\]
\[
\text{Sales Tax} = 2.84
\]
4. **Calculate the total cost of the camera.**
The total cost is the sum of the sale price and the sales tax:
\[
\text{Total Cost} = \text{Sale Price} + \text{Sales Tax} = 71 + 2.84
\]
\[
\text{Total Cost} = 73.84
\]
Therefore, the total cost of the camera is **$73.84**.