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 need to determine the cost price first. The markup rate is 150%, meaning the selling price is the cost price plus 150% of the cost price.

Let the cost price be CC. Then:

Selling price=C+1.5C=2.5C\text{Selling price} = C + 1.5C = 2.5C

Given that the selling price is $435:

2.5C=4352.5C = 435

Now, solve for CC:

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

So, the cost price of each watch is $174.

Now, to find the amount of markup, subtract the cost price from the selling price:

Markup=435174=261\text{Markup} = 435 - 174 = 261

Thus, the amount of markup on each watch is $261.

Would you like further details or have any questions?

Here are five related questions for practice:

  1. What is the cost price if the selling price is $500 with a 150% markup?
  2. How would the markup change if the markup rate was reduced to 100%?
  3. What is the selling price if the markup rate increases to 200%?
  4. How do you calculate the markup percentage if the selling price and cost price are known?
  5. If a watch costs $200 and the store applies a 150% markup, what will be the selling price?

Tip: Always express percentages as decimals (e.g., 150% as 1.5) when solving problems involving markup rates.

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Math Problem Analysis

Mathematical Concepts

Percentage
Markup
Algebra

Formulas

Selling price = Cost price + Markup
Markup = Selling price - Cost price

Theorems

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Suitable Grade Level

Grades 6-8