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A shopkeeper sells a shirt for $300 after giving a discount of 20%. What was the

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Question: A shopkeeper sells a shirt for $300 after giving a discount of 20%. What was the original price of the shirt? (2020)

Options:

  1. $360
  2. $400
  3. $320
  4. $300

Correct Answer: $400

Exam Year: 2020

Solution:

Let the original price be x. Then, x - 0.20x = 300. Therefore, 0.80x = 300, x = 300 / 0.80 = $400.

A shopkeeper sells a shirt for $300 after giving a discount of 20%. What was the

Practice Questions

Q1
A shopkeeper sells a shirt for $300 after giving a discount of 20%. What was the original price of the shirt? (2020)
  1. $360
  2. $400
  3. $320
  4. $300

Questions & Step-by-Step Solutions

A shopkeeper sells a shirt for $300 after giving a discount of 20%. What was the original price of the shirt? (2020)
  • Step 1: Let the original price of the shirt be represented by 'x'.
  • Step 2: The shopkeeper gives a discount of 20%. This means the customer pays 80% of the original price.
  • Step 3: Write the equation for the price after discount: 0.80 * x = 300.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.80.
  • Step 5: Calculate x: x = 300 / 0.80.
  • Step 6: Perform the division: 300 divided by 0.80 equals 400.
  • Step 7: Therefore, the original price of the shirt is $400.
  • Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount has been applied.
  • Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns in equations.
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