Math Problem Statement

Complete the table by solving for the cost, selling price, mark-up, mark-up based on cost (Mc), and mark-up based on selling price (Ms) using the given data.

Solution

Let's analyze the table from the image to complete the missing values for cost, selling price, mark-up, mark-up percentage based on cost (Mc), and mark-up percentage based on selling price (Ms).

Key Formulas:

  • Mark-up = Selling Price - Cost
  • Mark-up % based on Cost (Mc) = Mark-upCost×100\frac{{\text{Mark-up}}}{{\text{Cost}}} \times 100
  • Mark-up % based on Selling Price (Ms) = Mark-upSelling Price×100\frac{{\text{Mark-up}}}{{\text{Selling Price}}} \times 100

I'll start filling in the blanks based on these formulas.

Row 1:

  • Cost (₱365), Selling Price (₱300)
    • Mark-up: 300365=65300 - 365 = -₱65 (negative since selling price is lower)
    • Mc: 65365×100=17.81%\frac{-65}{365} \times 100 = -17.81\%
    • Ms: 65300×100=21.67%\frac{-65}{300} \times 100 = -21.67\%

Row 2:

  • Cost (₱600), Selling Price (₱720)
    • Mark-up: 720600=120720 - 600 = ₱120 (given)
    • Mc: 120600×100=20%\frac{120}{600} \times 100 = 20\%
    • Ms: 120720×100=16.67%\frac{120}{720} \times 100 = 16.67\%

Row 3:

  • Cost (₱220), Selling Price (₱120)
    • Mark-up: 120220=100120 - 220 = -₱100 (given)
    • Mc: 100220×100=45.45%\frac{-100}{220} \times 100 = -45.45\%
    • Ms: 100120×100=83.33%\frac{-100}{120} \times 100 = -83.33\%

Row 4:

  • Cost (₱162), Selling Price (₱135)
    • Mark-up: 135162=27135 - 162 = -₱27
    • Mc: 27162×100=16.67%\frac{-27}{162} \times 100 = -16.67\%
    • Ms: 27135×100=20%\frac{-27}{135} \times 100 = -20\% (given)

Row 5:

  • Cost (₱315), Selling Price is missing.
    • Let’s assume that we are given the mark-up percentage based on selling price (Ms), which is missing. Once we have that, we can calculate the selling price.

Would you like to confirm the details, or should I continue by filling in Row 5?

Also, here are some related questions:

  1. How does negative mark-up affect profit?
  2. Can the selling price ever be lower than the cost in normal business situations?
  3. What is the significance of mark-up percentages?
  4. How does mark-up differ from margin?
  5. How would increasing the mark-up affect the selling price?

Tip: Always verify mark-up percentages when calculating profitability; a negative mark-up suggests losses.

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Math Problem Analysis

Mathematical Concepts

Business Math
Mark-up Calculation
Percentages

Formulas

Mark-up = Selling Price - Cost
Mark-up % based on Cost (Mc) = (Mark-up / Cost) * 100
Mark-up % based on Selling Price (Ms) = (Mark-up / Selling Price) * 100

Theorems

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Suitable Grade Level

Grades 11-12