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A product is sold for $240 after a discount of 20%. What was the marked price?

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Question: A product is sold for $240 after a discount of 20%. What was the marked price?

Options:

  1. $300
  2. $280
  3. $250
  4. $320

Correct Answer: $300

Solution:

Let the marked price be x. Then, selling price = x - 20% of x = 0.8x. Given selling price = $240, we have 0.8x = 240. Therefore, x = 240 / 0.8 = $300.

A product is sold for $240 after a discount of 20%. What was the marked price?

Practice Questions

Q1
A product is sold for $240 after a discount of 20%. What was the marked price?
  1. $300
  2. $280
  3. $250
  4. $320

Questions & Step-by-Step Solutions

A product is sold for $240 after a discount of 20%. What was the marked price?
  • Step 1: Understand that the product is sold for $240 after a discount of 20%.
  • Step 2: Let the marked price be represented by 'x'.
  • Step 3: Calculate the selling price after the discount. The selling price is 80% of the marked price because 100% - 20% = 80%.
  • Step 4: Write the equation for the selling price: Selling Price = Marked Price - Discount = x - 0.2x = 0.8x.
  • Step 5: Set up the equation with the given selling price: 0.8x = 240.
  • Step 6: Solve for 'x' by dividing both sides of the equation by 0.8: x = 240 / 0.8.
  • Step 7: Calculate the value: x = 300.
  • Step 8: Conclude that the marked price is $300.
  • Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
  • Algebraic Manipulation – Using algebra to solve for the marked price based on the relationship between selling price and marked price.
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