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Unit 4: Cost Volume Profit Analysis




          Solution:                                                                             Notes
                                       Contribution
          (i)               P/V Ratio =            100
                                          Sales
                                       45,000
                                     =         100 = 45%
                                      1,00,000
                                      Fixedcost
          (ii)   Break-even Point (in `) =
                                       P/Vratio
                                       20,000
                                     =        100
                                        45
                                     = ` 44,444
                                        Profit
          (iii)       Margin of Safety =
                                       P/Vratio
                                       25,000
                                     =        100
                                        45
                                     = ` 55,556 (Approx.)
          OR          Margin of Safety = Actual sales – Break-even point sales
                                     = 1,00,000 – 44,444

                                     = ` 55,556




              Task  What is the effect of the following on the break-even point, profit-volume ratio
             and margin of safety? Explain giving reasons.
             (a)  Increase in units of sales,

             (b)  Decrease in VC per unit,
             (c)  Increase in unit selling price,
             (d)  Decrease in total fixed cost,

             (e)  Increase in material prices, and
             (f)  Discount on selling price.

          4.6 Break-Even Chart


          A break-even chart is a graphical representation of marginal  costing or  cost-volume-profit
          analysis. It is an important aid to profit planning. It has been defined as “A chart which shows
          the profitability or otherwise of an undertaking at various levels of activity and as a result
          indicates the point at which neither profit nor loss is made.”

          According to Dr. Vance, “It is a graph showing the amounts of fixed variable costs and the sales
          revenue at different volumes of operation. It shows at what volume the firm first covers all costs
          with revenue of break-even.”

          A break-even chart presents the following information:
          (i)  The profit or loss at various levels of activity,



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