If a product is sold for $150 after a 25% discount, what was the original price?

₹0.0

Question: If a product is sold for $150 after a 25% discount, what was the original price?

Options:

Correct Answer: $175

Solution:

Let the original price be x. Then, 150 = x - 0.25x => 150 = 0.75x => x = 150/0.75 = $200.

If a product is sold for $150 after a 25% discount, what was the original price?

If a product is sold for $150 after a 25% discount, what was the original price?

Step 1: Understand that the product is sold for $150 after a 25% discount.
Step 2: Let the original price be represented by 'x'.
Step 3: A 25% discount means the customer pays 75% of the original price.
Step 4: Write the equation: The price after discount (150) equals the original price (x) minus the discount (0.25x).
Step 5: This can be simplified to: 150 = x - 0.25x, which is the same as 150 = 0.75x.
Step 6: To find the original price (x), divide both sides of the equation by 0.75: x = 150 / 0.75.
Step 7: Calculate the division: 150 divided by 0.75 equals 200.
Step 8: Therefore, the original price of the product was $200.

Percentage Discount – Understanding how to calculate the original price of a product after a discount is applied.
Algebraic Manipulation – Using algebra to isolate the variable representing the original price.