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A store increases the price of an item by 20% and then offers a 10% discount. Wh

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Question: A store increases the price of an item by 20% and then offers a 10% discount. What is the final price if the original price was $50?

Options:

  1. $54
  2. $56
  3. $58
  4. $60

Correct Answer: $56

Solution:

New price after 20% increase = 50 * 1.2 = 60. Price after 10% discount = 60 * 0.9 = 54.

A store increases the price of an item by 20% and then offers a 10% discount. Wh

Practice Questions

Q1
A store increases the price of an item by 20% and then offers a 10% discount. What is the final price if the original price was $50?
  1. $54
  2. $56
  3. $58
  4. $60

Questions & Step-by-Step Solutions

A store increases the price of an item by 20% and then offers a 10% discount. What is the final price if the original price was $50?
  • Step 1: Start with the original price of the item, which is $50.
  • Step 2: Calculate the price increase by multiplying the original price by 20%. This is done by multiplying $50 by 1.2 (which is 100% + 20%). So, $50 * 1.2 = $60.
  • Step 3: Now, calculate the discount. The store offers a 10% discount on the new price of $60. To find the price after the discount, multiply $60 by 0.9 (which is 100% - 10%). So, $60 * 0.9 = $54.
  • Step 4: The final price after the increase and discount is $54.
  • Percentage Increase and Decrease – Understanding how to calculate a percentage increase followed by a percentage decrease on a given price.
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