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If a discount of 15% on a product results in a selling price of $85, what was th

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Question: If a discount of 15% on a product results in a selling price of $85, what was the original price?

Options:

  1. $100
  2. $90
  3. $110
  4. $95

Correct Answer: $100

Solution:

Let the original price be x. After a 15% discount, the selling price is x - (0.15 * x) = 0.85x. Setting this equal to $85 gives 0.85x = $85, so x = $85 / 0.85 = $100.

If a discount of 15% on a product results in a selling price of $85, what was th

Practice Questions

Q1
If a discount of 15% on a product results in a selling price of $85, what was the original price?
  1. $100
  2. $90
  3. $110
  4. $95

Questions & Step-by-Step Solutions

If a discount of 15% on a product results in a selling price of $85, what was the original price?
  • Step 1: Let the original price of the product be represented by 'x'.
  • Step 2: A 15% discount means you pay 85% of the original price. This can be written as 0.85 * x.
  • Step 3: We know that after the discount, the selling price is $85. So we can write the equation: 0.85 * x = 85.
  • Step 4: To find 'x', we need to isolate it. We do this by dividing both sides of the equation by 0.85.
  • Step 5: Calculate x: x = 85 / 0.85.
  • Step 6: Perform the division: x = 100.
  • Step 7: Therefore, the original price of the product was $100.
  • Percentage Discount Calculation – Understanding how to calculate the original price of a product after applying a percentage discount.
  • Algebraic Manipulation – Using algebra to set up and solve equations based on given conditions.
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