A product is sold for $120 after a 25% increase in price. What was the original

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Question: A product is sold for $120 after a 25% increase in price. What was the original price?

Options:

Correct Answer: 100

Solution:

Let original price be x. Then, x + 0.25x = 120. 1.25x = 120, x = 120 / 1.25 = 96.

A product is sold for $120 after a 25% increase in price. What was the original price?

A product is sold for $120 after a 25% increase in price. What was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: A 25% increase in price means the new price is the original price plus 25% of the original price.
Step 3: This can be written as: x + 0.25x.
Step 4: Combine the terms: x + 0.25x = 1.25x.
Step 5: We know the new price after the increase is $120, so we set up the equation: 1.25x = 120.
Step 6: To find 'x', divide both sides of the equation by 1.25: x = 120 / 1.25.
Step 7: Calculate the division: 120 divided by 1.25 equals 96.
Step 8: Therefore, the original price is $96.

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.