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:

Markup=Selling PriceCost Price\text{Markup} = \text{Selling Price} - \text{Cost Price}

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 CC. Then, the selling price can be expressed as:

Selling Price=C×(1+150100)=C×2.5\text{Selling Price} = C \times \left(1 + \frac{150}{100}\right) = C \times 2.5

Given that the selling price is $435, we can set up the equation:

435=C×2.5435 = C \times 2.5

Now, solve for CC:

C=4352.5=174C = \frac{435}{2.5} = 174

Now that we have the cost price, the markup can be calculated as:

Markup=Selling PriceCost Price=435174=261\text{Markup} = \text{Selling Price} - \text{Cost Price} = 435 - 174 = 261

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:

  1. What is the cost price of a different item if it has a markup of 200% and a selling price of $600?
  2. How would the markup change if the markup rate was reduced to 100%?
  3. If the store wants to increase the selling price by $50, what would the new markup amount be?
  4. What would be the selling price if the markup rate was increased to 175%?
  5. 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

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Suitable Grade Level

Grades 6-8