A product is sold for $150 after a discount of 25%. What was the marked price?

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Question: A product is sold for $150 after a discount of 25%. What was the marked price?

Options:

$200
$180
$160
$150

Correct Answer: $200

Solution:

Let the marked price be x. Then, selling price = x - 25% of x = 0.75x. Given selling price = $150, we have 0.75x = 150. Therefore, x = 150 / 0.75 = $200.

A product is sold for $150 after a discount of 25%. What was the marked price?

Practice Questions

A product is sold for $150 after a discount of 25%. What was the marked price?

$200
$180
$160
$150

Questions & Step-by-Step Solutions

A product is sold for $150 after a discount of 25%. What was the marked price?

Step 1: Understand that the product is sold for $150 after a discount of 25%.
Step 2: Let the marked price be represented by 'x'.
Step 3: Calculate the selling price after the discount. The selling price is 75% of the marked price because 100% - 25% = 75%.
Step 4: Write the equation for the selling price: Selling Price = Marked Price - Discount = x - 0.25x = 0.75x.
Step 5: Set up the equation with the given selling price: 0.75x = 150.
Step 6: Solve for 'x' by dividing both sides of the equation by 0.75: x = 150 / 0.75.
Step 7: Calculate the value: x = 200.
Step 8: Conclude that the marked price is $200.

Percentage Calculation – Understanding how to calculate discounts and selling prices based on marked prices.
Algebraic Manipulation – Using algebra to solve for unknown variables in equations.

A product is sold for $150 after a discount of 25%. What was the marked price?

What’s inside this PDF?

A product is sold for $150 after a discount of 25%. What was the marked price?

Practice Questions

Questions & Step-by-Step Solutions

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