A bicycle is sold for $180 after allowing a discount of 10%. What was the marked

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Question: A bicycle is sold for $180 after allowing a discount of 10%. What was the marked price?

Options:

Correct Answer: $200

Solution:

Let the marked price be x. Selling Price = Marked Price - Discount = x - 0.1x = 0.9x. So, 0.9x = 180. Therefore, x = 180/0.9 = $200.

A bicycle is sold for $180 after allowing a discount of 10%. What was the marked price?

A bicycle is sold for $180 after allowing a discount of 10%. What was the marked price?

Step 1: Understand that the selling price of the bicycle is $180 after a discount.
Step 2: Know that the discount given is 10% of the marked price.
Step 3: Let the marked price be represented by 'x'.
Step 4: Calculate the discount amount: 10% of x is 0.1x.
Step 5: The selling price can be calculated as: Selling Price = Marked Price - Discount.
Step 6: Substitute the values: Selling Price = x - 0.1x.
Step 7: Simplify the equation: Selling Price = 0.9x.
Step 8: Set up the equation: 0.9x = 180.
Step 9: Solve for x by dividing both sides by 0.9: x = 180 / 0.9.
Step 10: Calculate the value: x = 200.
Step 11: Conclude that the marked price of the bicycle is $200.

Discount Calculation – Understanding how to calculate the selling price after applying a discount to the marked price.
Algebraic Manipulation – Using algebra to solve for the marked price from the selling price and discount.