A shopkeeper sells a shirt for $300 after giving a discount of 25% on the marked

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Question: A shopkeeper sells a shirt for $300 after giving a discount of 25% on the marked price. What was the marked price?

Options:

Correct Answer: $400

Solution:

Let Marked Price = x. Selling Price = x - 25% of x = 0.75x. 0.75x = 300. x = 300/0.75 = 400.

A shopkeeper sells a shirt for $300 after giving a discount of 25% on the marked price. What was the marked price?

A shopkeeper sells a shirt for $300 after giving a discount of 25% on the marked price. What was the marked price?

Step 1: Understand that the shopkeeper sells a shirt for $300 after giving a discount.
Step 2: Know that the discount given is 25% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the selling price after the discount: Selling Price = Marked Price - Discount.
Step 5: The discount is 25% of 'x', which can be written as 0.25x.
Step 6: Therefore, the selling price can be expressed as: Selling Price = x - 0.25x.
Step 7: Simplify the equation: Selling Price = 0.75x.
Step 8: We know the selling price is $300, so we set up the equation: 0.75x = 300.
Step 9: To find 'x', divide both sides of the equation by 0.75: x = 300 / 0.75.
Step 10: Calculate the value: x = 400.
Step 11: Conclude that the marked price of the shirt is $400.

Percentage Discount – Understanding how to calculate the selling price after applying a percentage discount to the marked price.
Algebraic Manipulation – Using algebra to solve for the marked price based on the relationship between selling price and marked price.