A retailer sells a bicycle for $300 after applying a discount of 10%. What was t

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Question: A retailer sells a bicycle for $300 after applying a discount of 10%. What was the original price of the bicycle?

Options:

$270
$330
$300
$350

Correct Answer: $330

Solution:

Let the original price be x. After a 10% discount, the selling price is x - (0.10 * x) = 0.90x. Setting this equal to $300 gives 0.90x = $300, so x = $300 / 0.90 = $333.33.

A retailer sells a bicycle for $300 after applying a discount of 10%. What was t

Practice Questions

A retailer sells a bicycle for $300 after applying a discount of 10%. What was the original price of the bicycle?

$270
$330
$300
$350

Questions & Step-by-Step Solutions

A retailer sells a bicycle for $300 after applying a discount of 10%. What was the original price of the bicycle?

Step 1: Let the original price of the bicycle be represented by 'x'.
Step 2: A 10% discount means the retailer sells the bicycle for 90% of the original price.
Step 3: Write the equation for the selling price after the discount: Selling Price = Original Price - Discount.
Step 4: The discount can be calculated as 10% of 'x', which is 0.10 * x.
Step 5: Therefore, the selling price can be expressed as: Selling Price = x - (0.10 * x) = 0.90 * x.
Step 6: We know the selling price is $300, so we set up the equation: 0.90 * x = 300.
Step 7: To find 'x', divide both sides of the equation by 0.90: x = 300 / 0.90.
Step 8: Calculate the value: x = 333.33.
Step 9: Therefore, the original price of the bicycle was $333.33.

Percentage Discount Calculation – Understanding how to calculate the original price after a percentage discount has been applied.
Algebraic Manipulation – Using algebra to set up and solve equations based on given information.

A retailer sells a bicycle for $300 after applying a discount of 10%. What was t

What’s inside this PDF?

A retailer sells a bicycle for $300 after applying a discount of 10%. What was t

Practice Questions

Questions & Step-by-Step Solutions

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