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If a product is sold for $150 after a discount of 25%, what was its marked price

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Question: If a product is sold for $150 after a discount of 25%, what was its marked price?

Options:

  1. $175
  2. $200
  3. $180
  4. $160

Correct Answer: $200

Solution:

Let the marked price be x. After a 25% discount, the selling price is x - (0.25 * x) = 0.75x. Setting this equal to $150 gives 0.75x = $150, so x = $200.

If a product is sold for $150 after a discount of 25%, what was its marked price

Practice Questions

Q1
If a product is sold for $150 after a discount of 25%, what was its marked price?
  1. $175
  2. $200
  3. $180
  4. $160

Questions & Step-by-Step Solutions

If a product is sold for $150 after a discount of 25%, what was its marked price?
  • Step 1: Understand that the marked price is the original price before any discount.
  • Step 2: Let the marked price be represented by the variable x.
  • Step 3: A 25% discount means the price is reduced by 25% of x.
  • Step 4: Calculate the amount of the discount: 25% of x is 0.25 * x.
  • Step 5: The selling price after the discount is the marked price minus the discount: x - (0.25 * x).
  • Step 6: Simplify the expression: x - 0.25x = 0.75x.
  • Step 7: We know the selling price is $150, so set up the equation: 0.75x = 150.
  • Step 8: To find x, divide both sides of the equation by 0.75: x = 150 / 0.75.
  • Step 9: Calculate the value: x = 200.
  • Step 10: Therefore, the marked price is $200.
  • Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
  • Algebraic Manipulation – Using algebra to set up and solve equations based on the relationship between marked price, discount, and selling price.
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