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A store owner bought laptop computers for $350 and sold them for $826. What is the mark-up, as a percentage?

Write your answer using a percent sign (%).

1 answer

To calculate the mark-up as a percentage, use the following formula:

\[ \text{Mark-up Percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100 \]

In this case, the cost price is $350 and the selling price is $826.

  1. Calculate the mark-up amount: \[ \text{Mark-up Amount} = \text{Selling Price} - \text{Cost Price} = 826 - 350 = 476 \]

  2. Now, plug the values into the formula: \[ \text{Mark-up Percentage} = \left( \frac{476}{350} \right) \times 100 \]

  3. Calculate the fraction: \[ \frac{476}{350} \approx 1.36142857 \]

  4. Multiply by 100 to find the percentage: \[ \text{Mark-up Percentage} \approx 1.36142857 \times 100 \approx 136.14 \]

So, the mark-up percentage is approximately 136.14%.