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A store offers a 15% discount on all items. If an item costs $200 after the disc

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Question: A store offers a 15% discount on all items. If an item costs $200 after the discount, what was the original price?

Options:

  1. $220
  2. $230
  3. $240
  4. $250

Correct Answer: $220

Solution: 

Let the original price be x. After a 15% discount, the selling price is 85% of x; 0.85x = 200; x = 200 / 0.85 = 235.29.

A store offers a 15% discount on all items. If an item costs $200 after the disc

Practice Questions

Q1
A store offers a 15% discount on all items. If an item costs $200 after the discount, what was the original price?
  1. $220
  2. $230
  3. $240
  4. $250

Questions & Step-by-Step Solutions

A store offers a 15% discount on all items. If an item costs $200 after the discount, what was the original price?
Correct Answer: 235.29
  • Step 1: Understand that a 15% discount means you pay 85% of the original price.
  • Step 2: Let the original price be represented by 'x'.
  • Step 3: Write the equation for the selling price after the discount: 0.85 * x = 200.
  • Step 4: To find 'x', divide both sides of the equation by 0.85: x = 200 / 0.85.
  • Step 5: Calculate the value of x: x = 235.29.
  • Percentage Discount – Understanding how to calculate the original price of an item after a percentage discount has been applied.
  • Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the discount.
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