A product is sold at a loss of 25%. If the selling price is $75, what was the co

₹0.0

Question: A product is sold at a loss of 25%. If the selling price is $75, what was the cost price?

Options:

Correct Answer: $100

Solution:

Let the cost price be x. Selling Price = x - (25% of x) = 0.75x. Therefore, 0.75x = $75, x = $75 / 0.75 = $100.

A product is sold at a loss of 25%. If the selling price is $75, what was the cost price?

A product is sold at a loss of 25%. If the selling price is $75, what was the cost price?

Step 1: Understand that a loss of 25% means the selling price is 75% of the cost price.
Step 2: Let the cost price be represented by 'x'.
Step 3: Write the equation for the selling price: Selling Price = Cost Price - (25% of Cost Price).
Step 4: This can be simplified to Selling Price = x - (0.25 * x) = 0.75x.
Step 5: We know the selling price is $75, so we can set up the equation: 0.75x = 75.
Step 6: To find 'x', divide both sides of the equation by 0.75: x = 75 / 0.75.
Step 7: Calculate the value: x = 100.
Step 8: Therefore, the cost price is $100.

Percentage Loss – Understanding how to calculate selling price based on cost price and percentage loss.
Algebraic Manipulation – Using algebra to isolate variables and solve for unknowns.