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During which month did the business make the most money?

Mathematics

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Answer

R417 420\text{R}417\,420

66.67%66.67\%

Step-by-step solution

8 steps

1.1.1

  1. Examine the "Sales" column in the "Income" section of the table for each month.

    • January: R58 880
    • February: R57 650
    • March: R61 340
    • April: R50 070
    • May: R46 660
    • June: R45 390
  2. Identify the highest sales figure among the listed months.

    The highest sales figure is R61 340, which occurred in March.

    The business made the most money in March.

    1.1.2

  3. Sum all the monthly sales figures from January to June.

    Total Sales=R58 880+R57 650+R61 340+R50 070+R46 660+R45 390\text{Total Sales} = \text{R}58\,880 + \text{R}57\,650 + \text{R}61\,340 + \text{R}50\,070 + \text{R}46\,660 + \text{R}45\,390 Total Sales=R329 990\text{Total Sales} = \text{R}329\,990
  4. Add the "Interest from Investments" for the period (Jan to June) to the total sales to find the total income (A).

    A=Total Sales+Interest from InvestmentsA = \text{Total Sales} + \text{Interest from Investments} A=R329 990+R87 430A = \text{R}329\,990 + \text{R}87\,430 A=R417 420A = \text{R}417\,420

    The value of A, the total income, is R417 420\boxed{\text{R}417\,420}.

    1.1.3

    The value of B (Salaries) cannot be calculated from the provided image. The total expenses for the 6-month period, or the values for variable expenses (Fuel and Consumables), are not visible or provided in the table. Without these figures, it is not possible to determine the value of B.

    1.1.4

  5. Identify the months where sales were greater than R50 000.

    • January: R58 880 (Greater than R50 000)
    • February: R57 650 (Greater than R50 000)
    • March: R61 340 (Greater than R50 000)
    • April: R50 070 (Greater than R50 000)
    • May: R46 660 (Not greater than R50 000)
    • June: R45 390 (Not greater than R50 000)
  6. Count the number of months where sales were greater than R50 000.

    There are 4 months (January, February, March, April) where sales were greater than R50 000.

  7. Calculate the probability as a percentage.

    Probability=Number of months with sales>R50 000Total number of months\text{Probability} = \frac{\text{Number of months with sales} > \text{R}50\,000}{\text{Total number of months}} Probability=46=23\text{Probability} = \frac{4}{6} = \frac{2}{3} Percentage=23×100%≈66.666...%\text{Percentage} = \frac{2}{3} \times 100\% \approx 66.666...\%
  8. Round the percentage to two decimal places.

    Percentage≈66.67%\text{Percentage} \approx 66.67\%

    The probability that the sales will be greater than R50 000 in the 6-month period is approximately 66.67%\boxed{66.67\%}.

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