You got a great deal on a new computer for $800 that was marked down by 60% from the original price. What was the original price?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Question:**

You got a great deal on a new computer for $800 that was marked down by 60% from the original price. What was the original price?

*Answer Box:*

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This question aims to assess your understanding of discount calculations. To determine the original price before the discount, you need to work backwards from the sale price using the provided discount percentage. Use the formula:

\[ \text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Percentage}} \] 

Here's a step-by-step approach:

1. Convert the discount percentage to its decimal form: 
   
   \( 60\% = 0.60 \)

2. Subtract the discount from 1 (representing 100%): 

   \( 1 - 0.60 = 0.40 \)

3. Divide the sale price by the result from step 2: 

   \( \text{Original Price} = \frac{800}{0.40} \)

4. Calculate the original price:

   \( \text{Original Price} = 2000 \)

Thus, the original price of the computer was $2,000.

Feel free to type your answer in the provided box to check if you've understood the method correctly.
Transcribed Image Text:**Question:** You got a great deal on a new computer for $800 that was marked down by 60% from the original price. What was the original price? *Answer Box:* [ ] --- This question aims to assess your understanding of discount calculations. To determine the original price before the discount, you need to work backwards from the sale price using the provided discount percentage. Use the formula: \[ \text{Original Price} = \frac{\text{Sale Price}}{1 - \text{Discount Percentage}} \] Here's a step-by-step approach: 1. Convert the discount percentage to its decimal form: \( 60\% = 0.60 \) 2. Subtract the discount from 1 (representing 100%): \( 1 - 0.60 = 0.40 \) 3. Divide the sale price by the result from step 2: \( \text{Original Price} = \frac{800}{0.40} \) 4. Calculate the original price: \( \text{Original Price} = 2000 \) Thus, the original price of the computer was $2,000. Feel free to type your answer in the provided box to check if you've understood the method correctly.
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