Question

5. The following information relates to Sultan LLC for the year 2020 -21. Sales 25,000 units @ 25 dhs each - 625,000 dhs Vari
1. Calculate a PN Ratio b. Break-Even sales c. Margin of safety d. Margin of Safety Ratio II. Suppose the company has reduced
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Answer:

1 Contribution Margin = Sales - Variable Cost / Sales *100
Particulars Amount
Sales Qty 25000
Sales price per unit $                    25.00
Sales Value $          625,000.00
Less: Variable Cost
Variable cost per unit $                    10.00
Variable Cost $          250,000.00
Contribution = Sales - Variable Cost $          375,000.00
a) PV Ratio = 60%
Contribution $          375,000.00
Less: Fixed Cost $            65,000.00
Net Operating Profit $          310,000.00
b) Break-Even Sales
= Fixed Cost / PV Ratio
Fixed Cost                65,000.00
PV Ratio = 60%
Break-Even Sales              108,333.33
Margin of Safety = Profit / PV Ratio
Profit=              310,000.00
c) Margin of Safety=              516,666.67
Margin of safety ratio = Actual Sales - Breakeven Sale / Actual sales
d) Margin of safety ratio = 82.67%
2 The company has reduce the selling price by 13%
then sales price = 25-13%
Sales Qty 25000
Sales price per unit $                    21.75
Sales Value $          543,750.00
Less: Variable Cost
Variable cost per unit $                    10.00
Variable Cost $          250,000.00
Contribution = Sales - Variable Cost $          293,750.00
Less: Fixed Cost $            65,000.00
Net Operating Profit $          228,750.00
a) New PV Ratio = 54%
b) Break-Even Sales
= Fixed Cost / PV Ratio
Fixed Cost                65,000.00
PV Ratio = 54%
Break-Even Sales              120,319.15
Margin of Safety = Profit / PV Ratio
Profit= $          228,750.00
c) Margin of Safety=              423,430.85
Margin of safety ratio = Actual Sales - Breakeven Sale / Actual sales
d) Margin of safety ratio = 77.87%
3 Sales to be achieved to get the same amount of profit with the reduced selling price
Profit=              310,000.00
Fixed Cost=                65,000.00
PV Ratio = 54%
Sales = (Profit + Fixed Cost )/ PV Ratio
             694,148.94
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