A bicycle's price is increased by 15% to $230. What was the original price?

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Question: A bicycle\'s price is increased by 15% to $230. What was the original price?

Options:

Correct Answer: $200

Solution:

Let the original price be x. Then, x + 0.15x = 230 => 1.15x = 230 => x = 230 / 1.15 = $200.

A bicycle's price is increased by 15% to $230. What was the original price?

A bicycle's price is increased by 15% to $230. What was the original price?

Step 1: Let the original price of the bicycle be represented by 'x'.
Step 2: The price is increased by 15%, which means the new price is the original price plus 15% of the original price.
Step 3: We can write this as an equation: x + 0.15x = 230.
Step 4: Combine the terms on the left side: 1.15x = 230.
Step 5: To find the original price 'x', divide both sides of the equation by 1.15: x = 230 / 1.15.
Step 6: Calculate the value: x = 200.
Step 7: Therefore, the original price of the bicycle was $200.

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.