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A book's price is decreased by 20% and the new price is $24. What was the origin

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Question: A book\'s price is decreased by 20% and the new price is $24. What was the original price?

Options:

  1. $30
  2. $28
  3. $26
  4. $25

Correct Answer: $30

Solution: 

Let original price be x. Then, x - 0.2x = 24 => 0.8x = 24 => x = 24 / 0.8 = $30.

A book's price is decreased by 20% and the new price is $24. What was the origin

Practice Questions

Q1
A book's price is decreased by 20% and the new price is $24. What was the original price?
  1. $30
  2. $28
  3. $26
  4. $25

Questions & Step-by-Step Solutions

A book's price is decreased by 20% and the new price is $24. What was the original price?
  • Step 1: Let the original price of the book be represented by 'x'.
  • Step 2: When the price is decreased by 20%, it means you are paying 80% of the original price.
  • Step 3: Write the equation for the new price: 0.8x = 24.
  • Step 4: To find 'x', divide both sides of the equation by 0.8: x = 24 / 0.8.
  • Step 5: Calculate 24 divided by 0.8, which equals 30.
  • Step 6: Therefore, the original price of the book is $30.
  • Percentage Decrease – Understanding how to calculate the original price after a percentage decrease.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.
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