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If a shirt is sold for $45 after a discount of 10%, what was the original price

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Question: If a shirt is sold for $45 after a discount of 10%, what was the original price of the shirt?

Options:

  1. $50
  2. $55
  3. $60
  4. $65

Correct Answer: $50

Solution: 

Let the original price be x. After a 10% discount, the selling price is x - 0.1x = 0.9x. So, 0.9x = 45. Therefore, x = 45/0.9 = $50.

If a shirt is sold for $45 after a discount of 10%, what was the original price

Practice Questions

Q1
If a shirt is sold for $45 after a discount of 10%, what was the original price of the shirt?
  1. $50
  2. $55
  3. $60
  4. $65

Questions & Step-by-Step Solutions

If a shirt is sold for $45 after a discount of 10%, what was the original price of the shirt?
Correct Answer: $50
  • Step 1: Let the original price of the shirt be represented by 'x'.
  • Step 2: A 10% discount means the shirt is sold for 90% of its original price.
  • Step 3: Write the equation for the selling price after the discount: 0.9x = 45.
  • Step 4: To find the original price 'x', divide both sides of the equation by 0.9: x = 45 / 0.9.
  • Step 5: Calculate the value: x = 50.
  • Percentage Discount Calculation – Understanding how to calculate the original price of an item after a percentage discount has been applied.
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