Math Problem Statement

A car worth php 1750000 is sold for php 21000000.what is the value of the gross margin with exact formula and solution

Solution

To calculate the gross margin, we need to use the following formula:

Gross Margin=Selling PriceCost PriceSelling Price×100\text{Gross Margin} = \frac{\text{Selling Price} - \text{Cost Price}}{\text{Selling Price}} \times 100

Where:

  • Cost Price (C.P.) = PHP 1,750,000
  • Selling Price (S.P.) = PHP 21,000,000

Step-by-step solution:

  1. Subtract the Cost Price from the Selling Price: Selling PriceCost Price=21,000,0001,750,000=19,250,000\text{Selling Price} - \text{Cost Price} = 21,000,000 - 1,750,000 = 19,250,000

  2. Divide the result by the Selling Price: 19,250,00021,000,000=0.91667\frac{19,250,000}{21,000,000} = 0.91667

  3. Multiply by 100 to get the percentage: 0.91667×100=91.67%0.91667 \times 100 = 91.67\%

Final Answer:

The gross margin is 91.67%.


Would you like more details or further explanations? Here are some related questions:

  1. How do you calculate the markup percentage?
  2. What is the difference between gross margin and net margin?
  3. How does gross margin affect the profitability of a business?
  4. Can gross margin be negative?
  5. How does gross margin influence pricing strategy?

Tip: Always double-check whether you're working with gross or net profit, as they have different formulas!

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Math Problem Analysis

Mathematical Concepts

Gross Margin Calculation
Percentage Calculation

Formulas

Gross Margin = (Selling Price - Cost Price) / Selling Price × 100

Theorems

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Suitable Grade Level

Grades 9-12