Math Problem Statement
A store has a markup rate of 150% on the cost of their watches. They sell each watch for $435.
Calculate the amount of markup on each watch.
Solution
To calculate the amount of markup on each watch, we can use the following formula:
However, we are given the markup rate and the selling price, so we need to find the cost price first. The markup rate is 150%, which means the selling price is 250% of the cost price (100% of the cost plus 150% markup).
Let's denote the cost price by . Then, the selling price can be expressed as:
Given that the selling price is $435, we can set up the equation:
Now, solve for :
Now that we have the cost price, the markup can be calculated as:
So, the amount of markup on each watch is $261.
Would you like more details or have any questions about this solution? Here are some related questions:
- What is the cost price of a different item if it has a markup of 200% and a selling price of $600?
- How would the markup change if the markup rate was reduced to 100%?
- If the store wants to increase the selling price by $50, what would the new markup amount be?
- What would be the selling price if the markup rate was increased to 175%?
- How would a 10% discount on the selling price affect the markup amount?
Tip: When calculating markup, remember that the markup rate is always based on the cost price, not the selling price.
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Math Problem Analysis
Mathematical Concepts
Percentage
Markup
Algebra
Formulas
Markup = Selling Price - Cost Price
Selling Price = Cost Price × (1 + Markup Rate)
Theorems
-
Suitable Grade Level
Grades 6-8