If a price of a laptop is increased by 15% and the new price is $1,150, what was

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Question: If a price of a laptop is increased by 15% and the new price is $1,150, what was the original price?

Options:

Correct Answer: $1,000

Solution:

Let original price be x. Then, x + 0.15x = 1150 => 1.15x = 1150 => x = 1150 / 1.15 = $1,000.

If a price of a laptop is increased by 15% and the new price is $1,150, what was the original price?

If a price of a laptop is increased by 15% and the new price is $1,150, what was the original price?

Step 1: Let the original price of the laptop be represented as 'x'.
Step 2: When the price is increased by 15%, the new price becomes 'x + 0.15x'.
Step 3: Combine 'x' and '0.15x' to get '1.15x'.
Step 4: Set the equation '1.15x = 1150' because the new price is $1,150.
Step 5: To find 'x', divide both sides of the equation by 1.15: x = 1150 / 1.15.
Step 6: Calculate the division: 1150 divided by 1.15 equals $1,000.
Step 7: Therefore, the original price of the laptop was $1,000.

Percentage Increase – Understanding how to calculate the original price after a percentage increase.
Algebraic Manipulation – Using algebra to isolate the variable and solve for the original price.