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What is the Break-Even Point (BEP) in sales and Margin of Safety given these financial figures?

Accounting

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Answer

A

Constant\boxed{\text{Constant}}

Step-by-step solution

17 steps

Here are the solutions to questions 71, 72, 73, 74, 75, 76, and 77:

71. Sales ₹ 5,00,000; Variable Cost ₹ 3,00,000; Profit ₹ 1,00,000 then B.E.P. will be:

  1. Calculate Contribution.

    Contribution=Sales−Variable Cost\text{Contribution} = \text{Sales} - \text{Variable Cost} Contribution=₹5,00,000−₹3,00,000=₹2,00,000\text{Contribution} = ₹5,00,000 - ₹3,00,000 = ₹2,00,000
  2. Calculate Fixed Cost.

    Fixed Cost=Contribution−Profit\text{Fixed Cost} = \text{Contribution} - \text{Profit} Fixed Cost=₹2,00,000−₹1,00,000=₹1,00,000\text{Fixed Cost} = ₹2,00,000 - ₹1,00,000 = ₹1,00,000
  3. Calculate P/V Ratio.

    P/V Ratio=ContributionSales×100\text{P/V Ratio} = \frac{\text{Contribution}}{\text{Sales}} \times 100 P/V Ratio=₹2,00,000₹5,00,000×100=40%\text{P/V Ratio} = \frac{₹2,00,000}{₹5,00,000} \times 100 = 40\%
  4. Calculate Break-even Point (in Sales).

    B.E.P. (in Sales)=Fixed CostP/V Ratio\text{B.E.P. (in Sales)} = \frac{\text{Fixed Cost}}{\text{P/V Ratio}} B.E.P. (in Sales)=₹1,00,00040%=₹1,00,0000.40\text{B.E.P. (in Sales)} = \frac{₹1,00,000}{40\%} = \frac{₹1,00,000}{0.40} B.E.P. (in Sales)=₹2,50,000\text{B.E.P. (in Sales)} = ₹2,50,000

    The B.E.P. will be: (a) ₹2,50,000\boxed{\text{₹2,50,000}}

    72. Fixed Cost ₹ 1,20,000, Loss ₹ 20,000, Sales ₹ 4,00,000 then Margin of Safety will be:

  5. Calculate Contribution.

    Contribution=Fixed Cost−Loss\text{Contribution} = \text{Fixed Cost} - \text{Loss} Contribution=₹1,20,000−₹20,000=₹1,00,000\text{Contribution} = ₹1,20,000 - ₹20,000 = ₹1,00,000
  6. Calculate P/V Ratio.

    P/V Ratio=ContributionSales×100\text{P/V Ratio} = \frac{\text{Contribution}}{\text{Sales}} \times 100 P/V Ratio=₹1,00,000₹4,00,000×100=25%\text{P/V Ratio} = \frac{₹1,00,000}{₹4,00,000} \times 100 = 25\%
  7. Calculate Break-even Point (in Sales).

    B.E.P. (in Sales)=Fixed CostP/V Ratio\text{B.E.P. (in Sales)} = \frac{\text{Fixed Cost}}{\text{P/V Ratio}} B.E.P. (in Sales)=₹1,20,00025%=₹1,20,0000.25\text{B.E.P. (in Sales)} = \frac{₹1,20,000}{25\%} = \frac{₹1,20,000}{0.25} B.E.P. (in Sales)=₹4,80,000\text{B.E.P. (in Sales)} = ₹4,80,000
  8. Calculate Margin of Safety.

    Margin of Safety=Actual Sales−B.E.P. (in Sales)\text{Margin of Safety} = \text{Actual Sales} - \text{B.E.P. (in Sales)} Margin of Safety=₹4,00,000−₹4,80,000=−₹80,000\text{Margin of Safety} = ₹4,00,000 - ₹4,80,000 = -₹80,000

    The Margin of Safety will be: (a) ₹(-) 80,000\boxed{\text{₹(-) 80,000}}

    73. Fixed Cost ₹ 20,000; Sales ₹ 1,00,000; Variable Cost ₹ 60,000; Desired Profit ₹ 10,000 then required sales will be:

  9. Calculate Contribution from given Sales and Variable Cost.

    Contribution=Sales−Variable Cost\text{Contribution} = \text{Sales} - \text{Variable Cost} Contribution=₹1,00,000−₹60,000=₹40,000\text{Contribution} = ₹1,00,000 - ₹60,000 = ₹40,000
  10. Calculate P/V Ratio.

    P/V Ratio=ContributionSales×100\text{P/V Ratio} = \frac{\text{Contribution}}{\text{Sales}} \times 100 P/V Ratio=₹40,000₹1,00,000×100=40%\text{P/V Ratio} = \frac{₹40,000}{₹1,00,000} \times 100 = 40\%
  11. Calculate Required Sales for Desired Profit.

    Required Sales=Fixed Cost+Desired ProfitP/V Ratio\text{Required Sales} = \frac{\text{Fixed Cost} + \text{Desired Profit}}{\text{P/V Ratio}} Required Sales=₹20,000+₹10,00040%=₹30,0000.40\text{Required Sales} = \frac{₹20,000 + ₹10,000}{40\%} = \frac{₹30,000}{0.40} Required Sales=₹75,000\text{Required Sales} = ₹75,000

    The required sales will be: (a) ₹75,000\boxed{\text{₹75,000}}

    74. Sales ₹ 4,00,000, P/V Ratio 30%, Fixed Cost ₹ 40,000 then amount of profit will be:

  12. Calculate Contribution.

    Contribution=Sales×P/V Ratio\text{Contribution} = \text{Sales} \times \text{P/V Ratio} Contribution=₹4,00,000×30%=₹4,00,000×0.30\text{Contribution} = ₹4,00,000 \times 30\% = ₹4,00,000 \times 0.30 Contribution=₹1,20,000\text{Contribution} = ₹1,20,000
  13. Calculate Profit.

    Profit=Contribution−Fixed Cost\text{Profit} = \text{Contribution} - \text{Fixed Cost} Profit=₹1,20,000−₹40,000\text{Profit} = ₹1,20,000 - ₹40,000 Profit=₹80,000\text{Profit} = ₹80,000

    The amount of profit will be: (a) ₹80,000\boxed{\text{₹80,000}}

    75. When B.E.P. is 500 units and contribution per units is ₹ 2, then fixed cost would be:

  14. Use the formula for Break-even Point in units.

    B.E.P. (in units)=Fixed CostContribution per unit\text{B.E.P. (in units)} = \frac{\text{Fixed Cost}}{\text{Contribution per unit}}
  15. Rearrange to find Fixed Cost.

    Fixed Cost=B.E.P. (in units)×Contribution per unit\text{Fixed Cost} = \text{B.E.P. (in units)} \times \text{Contribution per unit} Fixed Cost=500 units×₹2/unit\text{Fixed Cost} = 500 \text{ units} \times ₹2/\text{unit} Fixed Cost=₹1,000\text{Fixed Cost} = ₹1,000

    The fixed cost would be: (b) ₹1,000\boxed{\text{₹1,000}}

    76. If Sales ₹ 60,000 and P/V Ratio is 30% then variable cost will be:

  16. Calculate Contribution.

    Contribution=Sales×P/V Ratio\text{Contribution} = \text{Sales} \times \text{P/V Ratio} Contribution=₹60,000×30%=₹60,000×0.30\text{Contribution} = ₹60,000 \times 30\% = ₹60,000 \times 0.30 Contribution=₹18,000\text{Contribution} = ₹18,000
  17. Calculate Variable Cost.

    Variable Cost=Sales−Contribution\text{Variable Cost} = \text{Sales} - \text{Contribution} Variable Cost=₹60,000−₹18,000\text{Variable Cost} = ₹60,000 - ₹18,000 Variable Cost=₹42,000\text{Variable Cost} = ₹42,000

    The variable cost will be: (a) ₹42,000\boxed{\text{₹42,000}}

    77. Variable Cost per unit remains... with changes in level of activity.
    Variable cost per unit is a cost that remains constant per unit of output, regardless of the level of production. Total variable cost changes with the level of activity, but the cost per unit does not.
    The correct answer is: (a) Constant\boxed{\text{Constant}}

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