An item is sold for $450 after a discount of 10%. What was the original price?

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Question: An item is sold for $450 after a discount of 10%. What was the original price?

Options:

Correct Answer: $500

Solution:

Let the original price be x. Selling Price = Original Price - Discount = x - 0.10x = 0.90x. So, 0.90x = 450. Therefore, x = 450/0.90 = 500.

An item is sold for $450 after a discount of 10%. What was the original price?

An item is sold for $450 after a discount of 10%. What was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: The item is sold for $450 after a discount of 10%.
Step 3: A 10% discount means the selling price is 90% of the original price.
Step 4: Write the equation for the selling price: Selling Price = Original Price - Discount.
Step 5: Substitute the discount into the equation: Selling Price = x - 0.10x.
Step 6: Simplify the equation: Selling Price = 0.90x.
Step 7: Set the selling price equal to $450: 0.90x = 450.
Step 8: To find 'x', divide both sides of the equation by 0.90: x = 450 / 0.90.
Step 9: Calculate the value: x = 500.
Step 10: The original price of the item is $500.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the original price.
Algebraic Manipulation – Using algebra to isolate the variable representing the original price.