Marginal Cost (Repaired)

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    Process Account

    Surya Roshni Manufacturing Company is producing bulbs which passing Through Two Process

    Following Data during the January

    Work in Progress

    Opening Stock 6,000 units of bulbs at a cost of Rs 15,000

    Closing Stock 7,000 units of bulbs

    The degree of completion of both opening and closing WIP was

    Previous process Cost 100% Process II Material 80% LAbour and Overheads 60%

    During the Month, 47,000 Units of bulbs were Transferred From Process I are a cost of Rs

    90,000.Other Costs Incurred for the Process II During the Month were:

    Material Rs 43,600 Overheads Rs 21,250

    No losses are expected. However, During the month 3,000 units of bulbs were rejected at

    inspection and sold as scrap for Rs 1/-

    So Process II account and abnormal loss account using first in first out method is as follow:

    Solution:

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    (A)EQUIVALENT UNITS (EU)

    PARTICULARS

    QTY.RECONCILATION EQUIVALENT UNITS

    INPUT OUTPUT MATERIAL (M) LABOUR (L)OVERHEADS

    (OH)

    % EU % EU % EU

    1OPENING OF WIP (COMPLETED

    NOW )6,000 6,000 --- --- 20 1,200 40 2,400

    2 FRESH UNITS INTRODUCED 47,000 ---- --- --- --- --- --- ---

    3 FRESH UNITS COMPLETED 37,000 100 37,000 100 37,000 100 37,000

    4 ABNORMAL LOSS 3,000 100 3,000 100 3,000 100 3,000

    5 CLOSING WIP 7,000 100 7,000 80 5,600 60 4,200

    TOTAL UNITS (A) 53,000 53,000 47,000 46,800 46,600

    (B)COST PER UNITPARTICULARS MATERIAL LABOUR OVERHEADS TOTAL

    COST INCURRED DURING THE PROCESS 90,000 43,600 21,250 154,850

    TOTAL COST (B) 90,000 43,600 21,250 154,850

    EQUIVALENT UNITS (A) 47,000 46,800 46,600

    COST PER EU (C = B + A) 1.9149 0.9316 0.4560 3.3025

    (C) Cost appropriation

    PARTICULARS EU CPEU RS TOTAL

    COST OF COMPLETING OPENING WIP

    MATERIAL

    LABOUR 1200 0.9316 1117.92

    OVERHEADS 2400 0.4560 1094.4 2212

    COMPLETING FRESH UNIT 37000 3.3025 122193

    ABNORMAL LOSS/GAIN 3000 3.3025 9908

    COST OF CLOSING WIP

    - MATERIAL -I 7000 1.9149 13404.3- LABOUR 5600 0.9316 5216.96- OVERHEADS 4200 0.4560 1915.2 20537

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    TOTAL COST (B) APPORTIONED 154850

    Cost tranfer

    Process

    account

    II

    Particulars units Rs Particulars units Rs

    To opening WIP 6000 15000 By abnormal loss 3000 9908

    To Transfer from Process I 47000 90000 By Closing WIP 7000 20537

    To Material 43600

    By Transfer to finished

    stock 43000 139405

    To Labour 21250To Labour and Overheads

    53000 169850 53000 169850

    Particulars units Rs Particulars units Rs

    To Process II 3000 9908 by Sale of scrap @ 1 3000 3000

    By transfer to costing

    Profit & loss a/c 6908

    _______ ____________ _______ _____3000 9908 3000 9908

    PARTICULARS Amount (Rs)

    COST OF OPENING WIP B/F (GIVEN) 15000

    ADD :- COST OF COMPLETING OPENING WIP (C1) 2212

    ADD :- COST OF COMPLETING FRESH UNITS (C2 ) 122193

    ___________

    COST TFD ( to stock/next process) 139405

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    Findings:

    P.V. Ratio

    Break Even Point

    Margin Of Safety

    Surya Roshni Limitedsupplied following information relating to sales and cost of sales of

    manufacturing company for only. 10,000 units.

    Particulars Amount (Rs.)

    Sales (10,000) 1,20,000

    Variable Cost 45,000

    Fixed Cost 60,000

    From the above information we find out:

    P.V. Ratio, Break Even Point Margin Of Safety.

    Statement of Marginal Cost for the 10,000 units

    Particular Amount (Rs) Per Units

    Sales 1,20,000 12

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    Less: Variable Cost 45,000 4.5

    Contribution 75,000 7.5

    Less: Fixed Cost 60,000

    Profit 15,000 1.5

    Sales 120000 12

    Less:Variable cost 45000 4.5

    Contribution 75000 7.5

    Less: Fixed cost 60000

    Profit 15000 1.5

    1) P.V Ratio Of Company is as follows:

    Sales

    Less: Variable Cost

    Contribution

    Less: Fixed Cost

    Profit

    0

    20000

    40000

    60000

    80000

    Column2 Column3

    Sales

    Less: Variable Cost

    Contribution

    Less: Fixed Cost

    Profit

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    P.V. Ratio = Contribution / Sales x 100

    Therefore,

    P.V. Ratio = 75,000 / 120,000 x 100

    P.V. Ratio = 62.5 %

    2) Break Even Point Of Company is as follows:

    For B.E.P it is necessary to find out B.E.S of the company

    So,

    B.E.S. = Fixed cost / P.V. Ratio

    i.e, B.E.S = 60,000 / 62.5 %

    B.E.S = Rs 96,000/- per month

    Now B.E.P = B.E.S / Selling price per unit

    i.e B.E.P = 96,000 / 12

    B.E.P = 8,000 Unit per month

    3) Margin of Safety of January is as follows:

    Formula for M.O.S is

    = SalesB.E.S.

    M.O.S = 120,000 96,000

    So, M.O.S = Rs 24,000 /-

    From the given information we also evaluate the effect of following on P.V. Ratio, B.E.P

    and Margin of Safety.

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    a) 10% Increase in variable cost.b) 10% Decrease in Variable cost.c) 10% Increase in fixed cost and, 10% Decrease in fixed cost.d) 5% Decrease in selling price.e) 10% Increase in Selling Price and 10% Decrease in units.

    According to the information we evaluate the first condition i.e.

    If sale and fixed cost is same and 10% Increase in variable cost.So, we find what its effect on P.V. Ratio, B.E.P and M.O.S:

    Revised Marginal Cost Statement were:

    Particulars Amount (In Rs) Per Unit Price

    Sale 1,20,000 12/-

    Less: Variable Cost

    (10% Increase)

    49,500 4.95/-

    Contribution 70500 7.05

    Fixed Cost 60000

    Profit 10500 1.05

    So Revised P.V. Ratio = Contribution / Sales x 100

    Therefore, P.V. Ratio = 67200 / 120,000 x 100

    i.e. P.V. Ratio = 58.75 %

    Now Company Revised B.E.P according to change in variable cost is as follows:

    B.E.P = B.E.S / Selling price per unit

    So, B.E.P = B.E.S (Fixed Cost / P.V. Ratio) / S.p.u

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    Therefore, B.E.P = (60000 / 58.75 %) / 12

    B.E.P = 8511Units

    Now Company Revised M.O.S according to change in variable cost is as follows:

    M.O.S = SalesB.E.S

    So, M.O.S = Sales - (Fixed Cost / P.V. Ratio)

    M.O.S =120,000 - (60000 / 58.75% )

    i.e. M.O.S = 120000102128

    B.E.P = Rs.17872/-According to the information we evaluate our Second condition i.e.

    If sale and fixed cost is same and 10% Decrease in variable cost.Particulars Amount (In Rs) Per Unit Price

    Sale 1,20,000 12/-

    Less: Variable Cost

    (10% decrease)

    40,500 4.05

    Contribution 79,500 7.95

    Fixed Cost 60000

    Profit 19,500 1.95

    So Revised P.V. Ratio = Contribution / Sales x 100

    Therefore, P.V. Ratio = 79,500 / 120,000 x 100

    i.e. P.V. Ratio = 66.25 %

    Now Company Revised B.E.P according to change in variable cost is as follows:

    B.E.P = B.E.S / Selling price per unit

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    So, B.E.P = B.E.S (Fixed Cost / P.V. Ratio) / S.p.u

    Therefore, B.E.P = (60000 / 66.25 %) / 12

    B.E.P = 7547 UnitsNow Company Revised M.O.S according to change in variable cost is as follows:

    M.O.S = SalesB.E.S

    So, M.O.S = Sales - (Fixed Cost / P.V. Ratio)

    M.O.S =120,000 - (60000 / 66.25 % )

    i.e. M.O.S = 12000090566

    B.E.P = Rs.29434 /-

    According to the information we evaluate the Third condition i.e.

    If sale and fixed cost is same and 10% Increase and 10 % Decrease in fixedcost.

    Particular Amount (Rs) Per Units

    Sales 1,20,000 12

    Less: Variable Cost 45,000 4.5

    Contribution 75,000 7.5

    Less: Fixed Cost

    (10 % Increase)

    66,000

    Profit 9000 0.9

    If Sale, Variable Cost is same than P.V. Ratio remain same

    i.e. P.V. Ratio = 62.5 %

    Now we evaluate the B.E.P and M.O.S.

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    B.E.P = B.E.S. / S.P.u.

    B.E.S = Fixed Cost / P.V. Ratio

    B.E.P. = (66,000 / 62.5 %) / 12B.E.P. = 105,600 / 12 = 8800 unitsAnd, M.O.S. = SalesB.E.S.

    M.O.S = 120,000105600

    M.O.S. = Rs. 14,400 /-Particular Amount (Rs) Per Units

    Sales 1,20,000 12

    Less: Variable Cost 45,000 4.5

    Contribution 75,000 7.5

    Less: Fixed Cost

    (10 % Decrease)

    54000

    Profit 21000 2.1

    If Sale, Variable Cost is same than P.V. Ratio remain same

    i.e. P.V. Ratio = 62.5 %

    Now we evaluate the B.E.P and M.O.S.

    B.E.P = B.E.S. / S.P.u.

    B.E.S = Fixed Cost / P.V. Ratio

    B.E.P. = (54,000 / 62.5 %) / 12B.E.P. = 86,400 / 12 = 7200 unitsAnd, M.O.S. = SalesB.E.S.

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    M.O.S = 120,00086,400

    M.O.S. = Rs. 33,600 /-According to the information we evaluate the Fourth condition i.e.

    If 5% Increase in selling price.Revised Statement of Marginal Cost for the 10,000 units

    Particular Amount (Rs) Per Units

    Sales 1,26,000 12.6

    Less: Variable Cost 45,000 4.5

    Contribution 81,000 8.1

    Less: Fixed Cost 60,000

    Profit 21,000 2.1

    1) P.V Ratio Of Company is as follows:

    P.V. Ratio = Contribution / Sales x 100

    Therefore,

    P.V. Ratio = 81,000 / 126,000 x 100

    P.V. Ratio = 64.3%

    2) Break Even Point Of Company is as follows:

    For B.E.P it is necessary to find out B.E.S of the company

    So,

    B.E.S. = Fixed cost / P.V. Ratio

    i.e, B.E.S = 60,000 / 64.3 %

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    B.E.S = Rs 93,313 /- per month

    Now B.E.P = B.E.S / Selling price per unit

    i.e B.E.P = 93,313 / 12

    B.E.P = 7776 Unit per month

    3) Margin of Safety of January is as follows:

    Formula for M.O.S is

    = SalesB.E.S.

    M.O.S = 126,000

    93,313

    So, M.O.S = Rs 32,687 /-

    According to the information we evaluate the Fourth condition i.e.

    10% Increase in Selling Price and 10% Decrease in units.Sales = 10 % Decrease in units i.e. 10,000 10 % = 9,000 /-

    S.P.U= 10 % Increase in Price i.e. 12 + 10% = Rs. 14.67 /-

    Revised Statement of Marginal Cost for the 9000 units

    Particular Amount (Rs) Per Units

    Sales 1,32,000 14.67

    Less: Variable Cost 45,000 5

    Contribution 87,000 9.67

    Less: Fixed Cost 60,000

    Profit 27000 3

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    1) P.V Ratio Of Company is as follows:

    P.V. Ratio = Contribution / Sales x 100

    Therefore,

    P.V. Ratio = 87000 / 132000 x 100

    P.V. Ratio = 66%

    2) Break Even Point Of Company is as follows:

    For B.E.P it is necessary to find out B.E.S of the company

    So,

    B.E.S. = Fixed cost / P.V. Ratio

    i.e, B.E.S = 60,000 / 66 %

    B.E.S = Rs 90,909/- per month

    Now B.E.P = B.E.S / Selling price per unit

    i.e B.E.P = 90,909 / 14.67

    B.E.P = 6197 Unit per month

    3) Margin of Safety of January is as follows:

    Formula for M.O.S is

    = SalesB.E.S.

    M.O.S = 132,000

    90,909

    So, M.O.S = Rs 41091 /-

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