A bicycle is sold for $120 after a discount of 20%. What was the original price?

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Question: A bicycle is sold for $120 after a discount of 20%. What was the original price?

Options:

Correct Answer: $150

Solution:

Let the original price be x. After a 20% discount, Selling Price = x - 0.2x = 0.8x. 0.8x = 120, x = 120/0.8 = 150.

A bicycle is sold for $120 after a discount of 20%. What was the original price?

A bicycle is sold for $120 after a discount of 20%. What was the original price?

Step 1: Let the original price of the bicycle be represented by 'x'.
Step 2: A discount of 20% means the selling price is 80% of the original price.
Step 3: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 4: Substitute the values into the equation: Selling Price = x - 0.2x.
Step 5: Simplify the equation: Selling Price = 0.8x.
Step 6: We know the selling price is $120, so set up the equation: 0.8x = 120.
Step 7: To find 'x', divide both sides of the equation by 0.8: x = 120 / 0.8.
Step 8: Calculate the value: x = 150.
Step 9: Therefore, the original price of the bicycle was $150.

Percentage Discount – Understanding how to calculate the original price from a selling price after a percentage discount.
Algebraic Manipulation – Using algebra to solve for the original price by setting up an equation based on the discount.