If a product is sold for $240 after a discount of 20%, what was the original pri

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Question: If a product is sold for $240 after a discount of 20%, what was the original price?

Options:

Correct Answer: $300

Solution:

Let the original price be x. Selling Price = x - (20% of x) = x - 0.2x = 0.8x. Therefore, 0.8x = 240, x = 240 / 0.8 = $300.

If a product is sold for $240 after a discount of 20%, what was the original price?

If a product is sold for $240 after a discount of 20%, what was the original price?

Step 1: Let the original price be represented by 'x'.
Step 2: The product is sold for $240 after a 20% discount.
Step 3: A 20% discount means the selling price is 80% of the original price.
Step 4: Write the equation for the selling price: Selling Price = Original Price - Discount.
Step 5: Substitute the values: 240 = x - (20% of x).
Step 6: Convert 20% to a decimal: 20% = 0.2, so the equation becomes 240 = x - 0.2x.
Step 7: Combine like terms: 240 = 0.8x.
Step 8: To find 'x', divide both sides by 0.8: x = 240 / 0.8.
Step 9: Calculate the value: x = 300.
Step 10: The original price is $300.

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