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Define the term break-even.

Mathematics

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2 steps
  1. Solve 1.1.5

    To verify if the business is experiencing a loss, we need to compare the total income with the total expenditure.
    From the previous calculations:
    Total Income (A) = R417 420
    Total Expenditure = R284 117 (given in the table)

    Calculate the profit or loss:

    Profit/Loss=Total Income−Total Expenditure\text{Profit/Loss} = \text{Total Income} - \text{Total Expenditure} Profit/Loss=R417 420−R284 117\text{Profit/Loss} = \text{R}417\,420 - \text{R}284\,117 Profit/Loss=R133 303\text{Profit/Loss} = \text{R}133\,303

    Since the result is a positive value, the business made a profit of R133 303.

    The financial consultant's statement that the business is experiencing a loss is incorrect. The business made a profit of R133 303\boxed{\text{R}133\,303}.

  2. Solve 1.1.6

    First, calculate the total profit, which we found in Step 1.
    Total Profit = R133 303

    Next, share the profit between David and Andiswa in the ratio 2:3.
    The total number of ratio parts is 2+3=52 + 3 = 5.

    Calculate David's share:

    David’s Share=25×R133 303\text{David's Share} = \frac{2}{5} \times \text{R}133\,303 David’s Share=R53 321.20\text{David's Share} = \text{R}53\,321.20

    Calculate Andiswa's share:

    Andiswa’s Share=35×R133 303\text{Andiswa's Share} = \frac{3}{5} \times \text{R}133\,303 Andiswa’s Share=R79 981.80\text{Andiswa's Share} = \text{R}79\,981.80

    David received R53 321.20\boxed{\text{R}53\,321.20} and Andiswa received R79 981.80\boxed{\text{R}79\,981.80}.

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