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If the price of a book is increased by 10% and the new price is $22, what was th

Practice Questions

Q1
If the price of a book is increased by 10% and the new price is $22, what was the original price?
  1. $20
  2. $18
  3. $19
  4. $21

Questions & Step-by-Step Solutions

If the price of a book is increased by 10% and the new price is $22, what was the original price?
  • Step 1: Let the original price of the book be represented as 'x'.
  • Step 2: When the price is increased by 10%, the new price becomes 'x + 0.1x'.
  • Step 3: Simplify 'x + 0.1x' to '1.1x'.
  • Step 4: We know the new price is $22, so we set up the equation: '1.1x = 22'.
  • Step 5: To find 'x', divide both sides of the equation by 1.1: 'x = 22 / 1.1'.
  • Step 6: Calculate '22 / 1.1' to find the original price.
  • Step 7: The result is $20, so the original price of the book was $20.
  • Percentage Increase – Understanding how to calculate the original price based on a percentage increase.
  • Algebraic Manipulation – Setting up and solving equations to find unknown variables.
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