Math Problem Statement

Find the missing numbers. Round rates to the nearest tenth of a per cent and dollar amount to the nearest cent. Given: Cost Price, Markup, % Markup on Cost (44%), and Selling Price ($92.61).

Solution

The image shows a question from a BADB1014 assignment that asks for the missing cost price and markup, with the given markup percentage as 44% and the selling price as $92.61. The possible answer choices provide different values for cost price and markup.

To solve this, let's use the formula for markup on cost:

Selling Price=Cost Price+Markup\text{Selling Price} = \text{Cost Price} + \text{Markup} and Markup=(Markup %100)×Cost Price\text{Markup} = \left( \frac{\text{Markup \%}}{100} \right) \times \text{Cost Price}

Given:

  • Markup % = 44%
  • Selling Price = $92.61

Let the cost price be CC. The markup would then be 0.44×C0.44 \times C. So, the equation becomes:

92.61=C+0.44C92.61 = C + 0.44C

92.61=1.44C92.61 = 1.44C

Now solve for CC:

C=92.611.4464.31C = \frac{92.61}{1.44} \approx 64.31

So, the cost price is approximately $64.31. Now calculate the markup:

Markup=0.44×64.3128.30\text{Markup} = 0.44 \times 64.31 \approx 28.30

Therefore, the correct option is A. Cost Price: $64.31 | Markup: $28.30.

Would you like further details on this calculation? Here are some related questions for you:

  1. How do you calculate markup based on selling price?
  2. What is the formula for determining profit margin?
  3. How does the percentage markup affect selling price in different industries?
  4. What is the relationship between cost price, markup, and selling price in retail?
  5. How do you calculate break-even price when given markup?

Tip: Always verify the percentage increase calculations carefully, especially when rounding, to ensure accuracy!

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Math Problem Analysis

Mathematical Concepts

Algebra
Percentage Calculation
Markup and Cost Analysis

Formulas

Selling Price = Cost Price + Markup
Markup = (Markup % / 100) × Cost Price

Theorems

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Suitable Grade Level

Grades 9-12