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A product's price is decreased by 30% and the new price is $70. What was the ori

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Question: A product\'s price is decreased by 30% and the new price is $70. What was the original price?

Options:

  1. $100
  2. $90
  3. $80
  4. $70

Correct Answer: $100

Solution: 

Let the original price be x. Then, x - 0.3x = 70 => 0.7x = 70 => x = 70 / 0.7 = $100.

A product's price is decreased by 30% and the new price is $70. What was the ori

Practice Questions

Q1
A product's price is decreased by 30% and the new price is $70. What was the original price?
  1. $100
  2. $90
  3. $80
  4. $70

Questions & Step-by-Step Solutions

A product's price is decreased by 30% and the new price is $70. What was the original price?
  • Step 1: Let the original price be represented by 'x'.
  • Step 2: Since the price is decreased by 30%, the new price is 70% of the original price. This can be written as: x - 0.3x = 70.
  • Step 3: Simplify the equation: 0.7x = 70.
  • Step 4: To find 'x', divide both sides of the equation by 0.7: x = 70 / 0.7.
  • Step 5: Calculate the value: x = 100.
  • Percentage Decrease – Understanding how to calculate the original price after a percentage decrease.
  • Algebraic Manipulation – Using algebra to solve for an unknown variable in an equation.
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