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If the price of a book is increased by 20% and the new price is $24, what was th

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Question: If the price of a book is increased by 20% and the new price is $24, what was the original price?

Options:

  1. $18
  2. $20
  3. $22
  4. $25

Correct Answer: $20

Solution: 

Let the original price be x. Then, x + 0.2x = 24, or 1.2x = 24. Thus, x = 24 / 1.2 = 20.

If the price of a book is increased by 20% and the new price is $24, what was th

Practice Questions

Q1
If the price of a book is increased by 20% and the new price is $24, what was the original price?
  1. $18
  2. $20
  3. $22
  4. $25

Questions & Step-by-Step Solutions

If the price of a book is increased 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 increased by 20%, the new price becomes 'x + 0.2x'.
  • Step 3: Combine 'x' and '0.2x' to get '1.2x'.
  • Step 4: We know the new price is $24, so we can write the equation: 1.2x = 24.
  • Step 5: To find 'x', divide both sides of the equation by 1.2: x = 24 / 1.2.
  • Step 6: Calculate 24 divided by 1.2, which equals 20.
  • Step 7: Therefore, the original price of the book was $20.
  • Percentage Increase – Understanding how to calculate the original price after a percentage increase.
  • Algebraic Manipulation – Using algebra to solve for the unknown variable in an equation.
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