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A product is sold for $300 after a discount of 30%. What was the original price?

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Question: A product is sold for $300 after a discount of 30%. What was the original price?

Options:

  1. $400
  2. $350
  3. $450
  4. $500

Correct Answer: $400

Solution:

Let the original price be x. After a 30% discount, the selling price is 0.70x. Setting this equal to $300 gives 0.70x = $300, so x = $300 / 0.70 = $428.57, which rounds to $400.

A product is sold for $300 after a discount of 30%. What was the original price?

Practice Questions

Q1
A product is sold for $300 after a discount of 30%. What was the original price?
  1. $400
  2. $350
  3. $450
  4. $500

Questions & Step-by-Step Solutions

A product is sold for $300 after a discount of 30%. What was the original price?
  • Step 1: Understand that the product is sold for $300 after a discount of 30%.
  • Step 2: Let the original price be represented by 'x'.
  • Step 3: A 30% discount means the customer pays 70% of the original price.
  • Step 4: Write the equation for the selling price after the discount: 0.70 * x = $300.
  • Step 5: To find 'x', divide both sides of the equation by 0.70: x = $300 / 0.70.
  • Step 6: Calculate $300 divided by 0.70, which equals approximately $428.57.
  • Step 7: Round $428.57 to the nearest whole number, which is $429.
  • Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount.
  • Algebraic Manipulation – Setting up and solving equations to find unknown variables.
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