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From the data provided, calculate the P/V Ratio and the Break-Even Point in units and sales revenue.

Accounting

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Answer

P/V Ratio=60%\text{P/V Ratio} = 60\%

Break-Even Point=1,250 units or Ksh 250,000\text{Break-Even Point} = 1,250 \text{ units or Ksh } 250,000

New Break-Even Point=7,500 units or Ksh 750,000\text{New Break-Even Point} = 7,500 \text{ units or Ksh } 750,000

Step-by-step solution

8 steps

Here are the calculations for part c):

c) The following information has been provided:
Total sales: Ksh 600,000
Selling Price Per Unit: Ksh 200
Variable Cost Per Unit: Ksh 80
Fixed Cost: Ksh 150,000

1) Calculate the P/V Ratio.

  1. Calculate the Contribution Margin per unit.

    Contribution Margin per unit=Selling Price per unit−Variable Cost per unit\text{Contribution Margin per unit} = \text{Selling Price per unit} - \text{Variable Cost per unit} Contribution Margin per unit=Ksh 200−Ksh 80=Ksh 120\text{Contribution Margin per unit} = \text{Ksh } 200 - \text{Ksh } 80 = \text{Ksh } 120
  2. Calculate the P/V Ratio.

    P/V Ratio=Contribution Margin per unitSelling Price per unit×100%\text{P/V Ratio} = \frac{\text{Contribution Margin per unit}}{\text{Selling Price per unit}} \times 100\% P/V Ratio=Ksh 120Ksh 200×100%\text{P/V Ratio} = \frac{\text{Ksh } 120}{\text{Ksh } 200} \times 100\% P/V Ratio=0.60×100%=60%\text{P/V Ratio} = 0.60 \times 100\% = 60\%

    The P/V Ratio is also known as the Contribution Margin Ratio.

    P/V Ratio=60%\boxed{\text{P/V Ratio} = 60\%}

    2) Calculate the Break-Even Point.

  3. Calculate the Break-Even Point in Units.

    Break-Even Point (Units)=Fixed CostsContribution Margin per unit\text{Break-Even Point (Units)} = \frac{\text{Fixed Costs}}{\text{Contribution Margin per unit}} Break-Even Point (Units)=Ksh 150,000Ksh 120 per unit\text{Break-Even Point (Units)} = \frac{\text{Ksh } 150,000}{\text{Ksh } 120 \text{ per unit}} Break-Even Point (Units)=1,250 units\text{Break-Even Point (Units)} = 1,250 \text{ units}
  4. Calculate the Break-Even Point in Sales Revenue.

    Break-Even Point (Sales Revenue)=Fixed CostsP/V Ratio\text{Break-Even Point (Sales Revenue)} = \frac{\text{Fixed Costs}}{\text{P/V Ratio}} Break-Even Point (Sales Revenue)=Ksh 150,0000.60\text{Break-Even Point (Sales Revenue)} = \frac{\text{Ksh } 150,000}{0.60} Break-Even Point (Sales Revenue)=Ksh 250,000\text{Break-Even Point (Sales Revenue)} = \text{Ksh } 250,000 Break-Even Point=1,250 units or Ksh 250,000\boxed{\text{Break-Even Point} = 1,250 \text{ units or Ksh } 250,000}

    3) If the selling price is reduced to Ksh 100, calculate the New Break-Even Point.

  5. Calculate the New Contribution Margin per unit.

    New Selling Price per unit = Ksh 100
    Variable Cost per unit = Ksh 80

    New Contribution Margin per unit=New Selling Price per unit−Variable Cost per unit\text{New Contribution Margin per unit} = \text{New Selling Price per unit} - \text{Variable Cost per unit} New Contribution Margin per unit=Ksh 100−Ksh 80=Ksh 20\text{New Contribution Margin per unit} = \text{Ksh } 100 - \text{Ksh } 80 = \text{Ksh } 20
  6. Calculate the New Break-Even Point in Units.

    Fixed Costs = Ksh 150,000

    New Break-Even Point (Units)=Fixed CostsNew Contribution Margin per unit\text{New Break-Even Point (Units)} = \frac{\text{Fixed Costs}}{\text{New Contribution Margin per unit}} New Break-Even Point (Units)=Ksh 150,000Ksh 20 per unit\text{New Break-Even Point (Units)} = \frac{\text{Ksh } 150,000}{\text{Ksh } 20 \text{ per unit}} New Break-Even Point (Units)=7,500 units\text{New Break-Even Point (Units)} = 7,500 \text{ units}
  7. Calculate the New P/V Ratio (optional, for calculating Break-Even Point in Sales Revenue).

    New P/V Ratio=New Contribution Margin per unitNew Selling Price per unit×100%\text{New P/V Ratio} = \frac{\text{New Contribution Margin per unit}}{\text{New Selling Price per unit}} \times 100\% New P/V Ratio=Ksh 20Ksh 100×100%=20%\text{New P/V Ratio} = \frac{\text{Ksh } 20}{\text{Ksh } 100} \times 100\% = 20\%
  8. Calculate the New Break-Even Point in Sales Revenue.

    New Break-Even Point (Sales Revenue)=Fixed CostsNew P/V Ratio\text{New Break-Even Point (Sales Revenue)} = \frac{\text{Fixed Costs}}{\text{New P/V Ratio}} New Break-Even Point (Sales Revenue)=Ksh 150,0000.20\text{New Break-Even Point (Sales Revenue)} = \frac{\text{Ksh } 150,000}{0.20} New Break-Even Point (Sales Revenue)=Ksh 750,000\text{New Break-Even Point (Sales Revenue)} = \text{Ksh } 750,000 New Break-Even Point=7,500 units or Ksh 750,000\boxed{\text{New Break-Even Point} = 7,500 \text{ units or Ksh } 750,000}
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