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Home /  Cost and Management Accounting
  • 1211 Views
  • Estimated reading time : 265 Minutes
  • Flexible Budget | Problems and Solutions

  • Arjun EP
  • Published on: February 28, 2022

  •  

     

     

    Flexible Budget

    Budget which is changed according to level of activities is known flexible budgeting.

    It gives different budgeted cost for different level of activities.

    A flexible budget is prepared after making difference classification of all the expenses.

    They are fixed cost, variable cost and semi-variable cost.

     

    Methods of flexible budget

    Tabular method

    Segregation method

    Budgeted allowance method

    Overhead variance method

     

    Step for calculation flexible budget

    Determine range of activity

    Identification of cost behavior

    Select the level of activity

     

     

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    Flexible Budget TU Questions and Solutions

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2060       Modified

    ABC Company produces 25,000 units of output at 100% capacity attained with the following cost details:

    Items of cost

    Unit costs

    Materials

    $10

    Labour

    $5

     

    Manufacturing expenses (25% variable 75% fixed)

    $8

    Administrative expenses (50% variable 50% fixed)

    $6

    Selling expenses (75% variable 25% fixed)

    $4

         

    Required: Flexible budget for 75% and 90% output level for next month       

    [Answers:  Variable cost = $431,250 and $517,500;

     Fixed cost =250,000; Total cost = $681,250; $767,500]

    SOLUTION

    Given and working note: 

    Calculation for 25,000 units

    Activities

    Cost basis

    Variable cost

    Fixed cost  

     

     

    Per unit

    Total

     

    Materials

    Variable

    10

    250,000

    –

    Labour

    Variable

    5

    125,000

    –

    Manufacturing expenses

    Semi-variable

    2

    50,000

    25,000 x Rs 8 @75            = 150,000

    Administrative expenses

    Semi-variable

    3

    75,000

    25,000 x Rs 6 @ 50%        =  75,000

    Selling expenses

    Semi-variable

    3

    75,000

    25,000 x Rs 4 @ 25%        =   25,000

     

    Flexible budget

    ABC Company

    For 75% and 90%

    Particulars

    100%  base

    75%

    90%

     

    25,000 units

    18,750 units

    22,500 units

    Variable cost:

    .

    .

    .

         Materials 

    250,000

    1,87,500

    2,25,000

         Labour     

    125,000

    93,750

    1,12,500

         Manufacturing expenses

    50,000

    37,500

    45,000

         Administrative expenses

    75,000

    56,250

    67,500

         Selling expenses

    75,000

    56,250

    67,500

    Total variable cost (A)

    5,75,000

    4,31,250

    5,17,500

    Fixed cost:   

    .

    .

    .

         Manufacturing expenses  

    1,50,000

    1,50,000

    1,50,000

         Administrative expenses 

    75,000

    75,000

    75,000

         Selling expenses

    25,000

    25,000

    25,000

    Total fixed cost (B)

    2,50,000

    2,50,000

    2,50,000

    Budgeted total cost               (A+B)

    $8,25,000

    $6,81,250

    $7,67,500

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2060       Modified

    Following extracted data are given below by CB Company:

    Budgeted allowance = $100,000 + $3 times labour hour

     

    Normal capacity

    20,000 DLH

    Standard time allowed is

    2 units per labour hour.

    Actual output recorded

    45,000 units

    Actual labour paid

    23,000 hours

    Actual overhead incurred

    $166,000.

    Required: Three overhead variances

    [Answers: SV = $3,000 F; EV = $1,500 U; CV = $12,500 F]

    *SQ = 45,000 × y unit = 22,500

    SOLUTION

    Given and working note:

    Normal capacity

    = 20,000 units

     

     

    Standard machine hours

    = 2* labour hours

     

     

    Budgeted fixed cost (FC)

    = $100,000

     

     

    Fixed cost per unit

    = FC ÷ Normal output

    = 100,000 ÷ 20,000

    = $5

    Variable cost per unit

    = given

    = $3

     

    Hourly overhead rate (SR)

    = FC + VC

    = $5 + $3

    = $8

    Actual expenses incurred

    = given

    = $166,000

     

    Actual machine hours (AQ)

    = 23,000 MH

     

     

    Actual production (SQ)

    = 45,000 units x y unit

    = 22,500 MH

     

     

    Again

    O1

    Actual overhead

    Given

    166,000

    O2

    Standard FC + VCPU x AQ

    100,000   +    3 x 23,000  MH

    169,000

    O3

    Standard FC + VCPU x SQ

    100,000   +    3 x 22,500  MH

    167,500

    O4

    SR x SQ

    8 x 22,500  MH

    180,000

     

    Now

    1. Overhead spending variance

    = O1 – O2

    = 1,66,000 – 1,69,000

    = ($3,000) F

    2. Overhead efficiency variance

    = O2 – O3

    = 1,69,000 – 1,67,500

    = $1,500       U

    3. Overhead capacity variance

    = O3 – O4

    = 1,67,500 – 1,80,000

    = ($12,500) F

                       

     

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2060/S              Modified

    The manufacturing overhead costs of ABC Company are detailed below:

    Manufacturing overhead cost for

    20,000 units

    40,000 units

     

    Indirect materials

    $20,000

    $40,000

     

    Indirect labour

    $40,000

    $80,000

     

    Supervision     (y = a + bx)

    $30,000

    $50,000

     

    Maintenance   (y = a + bx)

    $40,000

    $70,000

     

    Depreciation

    $50,000

    $50,000

     

    Rent and rates

    $10,000

    $10,000

     

    Required: Budget for 30,000 units by using table method.

    [Answers: VC = $165,000; FV = $80,000; TC = $245,000]

    SOLUTION

    Given and working note: 

    Calculation for 20,000 units

    Activities

    Cost basis

    Variable cost

    Fixed cost  = Total cost – Variable cost

     

     

    Per unit

    Total

     

    Indirect materials

    Variable

    1

    20,000

    –

    Indirect labour

    Variable

    2

    40,000

    –

    Supervision

    Semi-variable

    1

    20,000

    30,000 – 20,000  = 10,000

    Maintenance

    Semi-variable

    1.5

    30,000

    40,000 – 30,000  = 10,000

    Depreciation

    Fixed

    –

    –

    50,000

    Rent and rates

    fixed

    –

    –

    10,000

     

    Variable cost per unit (VCPU) = Different in cost ÷ Different in units

    Supervision = ($50,000 – $30,000) ÷ (40,000 units – 20,000 units) = $1

    Maintenance = ($70,000 – $40,000) ÷ (40,000 units – 20,000 units) = $1.5

     

    Flexible budget

    ABC Company

    For 30,000 units

    Particulars

    100%  base

     

     

    20,000 units

    30,000 units

    Variable cost:         

    .

    .

         Indirect materials  

    20,000

    30,000

         Indirect labour 

    40,000

    60,000

         Supervision

    20,000

    30,000

         Maintenance

    30,000

    15,000

    Total variable cost (A)

    1,10,000

    1,65,000

    Fixed cost:

                .

    .

         Supervision

                10,000

    10,000

         Maintenance

    10,000

    10,000

         Depreciation

    50,000

    50,000

         Rent and rates

    10,000

    10,000

    Total fixed cost (B)

    80,000

    80,000

    Budgeted total cost               (A+B)

    $1,90,000

    $2,45,000

     

     

     

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    ######

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2061       Modified

    The cost details of CD Company at two levels of output have been given below:

                Capacity in %

    50%

    100%

     

                Output in units

    10,000

    20,000

     

                Manufacturing cost

    $80,000

    $140,000

     

    Required: by using flexible budgeting formula (BA = FC + b × LA)

    Budget for 15,000 units 22,000 units and 30,000 units

     [Answers: VCPU = $6; Fixed cost = $20,000;

    Total cost = $110,000; $152,000 and $200,000]

    SOLUTION

    Given and working note: 

    We know that, BA = FC + b x LA

    Where:                     

    BA = y            = budgeted allowance    

    FC = a            = fixed cost              

    VCPU = b = variable cost per unit        

    LA = x = level of activity               

     

    Variable cost per unit (b)

    = Different in cost ÷ Different in units

     

    = ($140,000 – $80,000) ÷ (20,000 units – 10,000 units)

     

    = $6

     

    Fixed cost (a)

    = y – bx        

     

    = $80,000 – $6 x 10,000 units  

     

    = $20,000

     

    Now,

    Budgeted allowance

    = FC + b x LA

    For 15,000 units

    = $20,000    +   $6 x 15,000

    = $1,10,000

    For 22,000 units

    = $20,000    +   $6 x 22,000

    = $1,52,000

    For 30,000 units

    = $20,000    +   $6 x 30,000

    = $2,00,000

             

     

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2061/S              Modified

    On a request, the manager of RM Department submitted the following budget estimates on the basis of which a flexible budget is to be constructed for the department.

    Particulars

    6,000 DLH

    9,000 DLH

     

    Employee salaries

    $30,000

    $30,000

     

    Repairs materials (indirect)

    $40,200

    $60,300

     

    Miscellaneous expenses

    $13,200

    $16,800

     

    Required: Flexible budget for 8,000 and 10,000 DLH level (Assume that these levels are within the capacity volume)

    [Answers: Variable cost = $63,200 and $79,000; Fixed cost = $36,000;

    Total cost = $99, 200 and $115,000]

     

    SOLUTION

    Given and working note: 

    Calculation for 6,000 units

    Activities

    Cost basis

    Variable cost

    Fixed cost = Total cost – Variable cost

     

     

    Per unit

    Total

     

    Salary

    Fixed

    –

    –

    30,000

    Repairs and maintenance

    Variable

    6.7

    40,200

    –

    Miscellaneous expenses

    Semi-variable 

    1.2

    7,200

    13,200 – 7,200 = 6,000

     

     

     

     

     

     

    Variable cost per unit (VCPU)

    = Different in cost ÷ Different in units

    Miscellaneous expenses

    = ($16,800 – $13,200) ÷ (9,000 units – 6,000 units)                      = $1.2

     

    Fixed cost (a)

    = y –  bx                   

     

    = $13,200 – $1.2 x 6,000 units             

     

    = $6,000

         

     

     

    Flexible budget

    RM Department

    For 8,000 units and 10,000 units

    Particulars

    100%  base 6,000 units

    8,000 units

    10,000 units

    Variable cost:        

    .

    .

    .

         Repairs and maintenance                                                            

    40,200

    53,600

    67,000

         Miscellaneous expenses          

    7,200

    9,600

    12,000

    Total variable cost (A)

    47,400

    63,200

    79,000

    Fixed cost:  

    .

    .

    .

         Salary

    30,000

    30,000

    30,000

         Miscellaneous expenses

    6,000

    6,000

    6,000

    Total fixed cost (B)

    36,000

    36,000

    36,000

    Budgeted total cost               (A+B)

    $83,400

    $99,200

    $115,000

     

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2062       Modified

    At 90% normal capacity level the selling department of a factory organization attains sales for $630,000 with following expenses.

    Administrative expenses:

     

    Depreciation rent and taxes

    $18,100

    Staff salary

    $91,500

    Running expenses

    2.5% of sales

     

     

    Marketing expenses:

     

    Wages (fixed)

    $17,500

    Salesmen salaries & commission

    12% of sales

     

     

    General expenses:

     

    Fixed

    $12,500

    Variable

    2% of sales

    Required: Statement of flexible budget at 80% and 100 % capacity level

    [Answers: Variable cost= $92,400 and $115,500; Fixed cost = $139,600;

    Total overhead at 80% = $232,000 and 100% = $255,100]

    SOLUTION

    Flexible budget

    Factory Organization 

    For 8,000 units and 10,000 units

    Particulars

    90%  base

    80%

    100%

    Sales Revenue              [at 90% based Rs 630,000]

    630,000

    560,000

    700,000

    Variable cost:      

    –

    –

    –

    Running expenses

    [administrative 2.5 % of sales]

    15,750

    14,000

    17,500

    Salesman salary

    [marketing 12 % of sales]

    75,600

    67,200

    84,000

    General expenses

    [variable marketing 2 % of sales]

    12,600

    11,200

    14,000

    Total variable cost (A)

    1,03,950

    92,400

    1,15,500

    Fixed cost:         

    –

    –

    –

    Depreciation, rent and tax

    [administrative]

    18,100

    18,100

    18,100

    Staff Salary

    [administrative]

    91,500

    91,500

    91,500

    Wages

    [fixed, marketing]

    17,500

    17,500

    17,500

    General expenses

    [fixed, marketing]

    12,500

    12,500

    12,500

    Total fixed cost (B)

    1,39,600

    1,39,600

    1,39,600

    Budgeted total cost               (A+B)

    $2,43,550

    $2,32,000

    $2,55,100

               

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2063       Modified

    Manufacturing overhead costs in a Food Processing Company have been summarized as:

    Indirect materials

    $1 per DLH

    Indirect labour

    $2 per DLH

    Supervision cost (variable)

    $0.5 per DLH

    Supervision cost (fixed)

    $20,000

    Repairs and maintenance (variable)

    $1 per DLH

    Repairs and maintenance cost (fixed)

    $30,000

    Depreciation and other costs

    $50,000

    Required: Budget for 4,000 DLH and 6,000 DLH by using table method

    [Answers: Variable cost = $18,000 and $27,000;

    Fixed cost = $100,000; Total cost = $118,000 and $127,000]

    SOLUTION

    Flexible Budget

    Food Processing Company

    For 4,000 DLH and 6,000 DLH

    Particulars

    4,000 DLH

    6,000 DLH

    Variable cost:

    –

    –

         Indirect materials

    DLH @ $1

    4,000

    6,000

         Indirect labour

    DLH @ $2

    8,000

    12,000

         Supervision

    DLH @ $0.5

    2,000

    3,000

         Repairs and maintenance

    DLH @ $1

    4,000

    6,000

    Total variable cost (A)

    18,000

    27,000

    Fixed cost:

    –

    –

    Supervision

    20,000

    20,000

    Repairs and maintenance

    30,000

    30,000

    Depreciation

    50,000

    50,000

    Total fixed cost (B)

    1,00,000

    1,00,000

    Budgeted total cost               (A+B)

    $1,18,000

    $1,27,000

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2064       Modified

    The flexible budgeting formula at a normal capacity volume of 10,000 machine hours is: 

    BA = $50,000 + $2 × MH

    One unit of output will need 0.5 MH

    In the year a company produced 23,000 units of output, by working for 11,000 machine hours.

    The total overhead costs of the company for the year amounted to $74,200.

    Required: (1) Fixed manufacturing overhead cost capacity variance;

    (2) Variable manufacturing overhead efficiency and spending variance

    [Answers: CV = $7,500 (F); EV = $1,000 (F); SV = $2,200 (A)]

    *SQ = 23,000 units × 0.5 M.H = 11,500 DLH

    SOLUTION

    Given and working note: 

    Normal capacity

    = 10,000 units

     

     

    Standard machine hours

    = 2* hours per unit

     

     

    Budgeted fixed cost (FC)

    = $50,000

     

     

    Fixed cost per unit

    = FC ÷ Normal output

    = 50,000 ÷ 10,000

    = $5

    Variable cost per unit

    = given

    = $2

     

    Hourly overhead rate (SR)

    = FC + VC

    = $5 + $2

    = $7

    Actual expenses incurred

    = given

    = $74,200

     

    Actual machine hours (AQ)

    = 11,000 MH

     

     

    Actual production (SQ)

    = 23,000 units x 0.5 M.H

    = 11,500 DLH

     

     

     

    Again

    O1

    Actual overhead

    Given

    74,200

    O2

    Standard FC + VCPU x AQ

    50,000   +    2 x 11,000  DLH

    72,000

    O3

    Standard FC + VCPU x SQ

    50,000   +    2 x 11,500  DLH

    73,000

    O4

    SR x SQ

              7 x 11,500  DLH

    80,500

     

     

    Now

    1. Overhead spending variance

    = O1 – O2

    = 74,200 – 72,000

    = $2,200 UF

    2. Overhead efficiency variance

    = O2 – O3

    = 72,000 – 73,000

    = ($1,000) F

    3. Overhead capacity variance

    = O3 – O4

    = 73,000 – 80,500

    = ($7,500) F

                     

    Therefore:   

    1. Fixed manufacturing overhead cost capacity = Rs ($7,500) favorable

    2. Variable manufacturing overhead efficiency and spending variable:

    (a) Efficiency variance = ($ 1,000) favorable

    (b) Spending variance = ($2,200) unfavorable

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2065       Modified

    Following information is provided by ABC Manufacturing Company:

    Budgeted standard data

    Budgeted activity level

    10,000 DLH at 2 hours per unit 

    Standard labour hours allowed

     

    Budgeted overhead cost

    Variable

    $2.60

     

    Fixed 

    $1.40

     

     

    Total 4.00

     

     

     

    Hourly overhead application rate

    Variable

    $1.30

    (standard rate)

    Fixed 

    $0.70

     

     

    Total 2.00

     

     

     

    Budgeted overhead cost

    Variable

    $13,000

     

    Fixed 

    $7,000

     

     

    Total 20,000

     

    Actual data

    Actual overhead cost incurred

    Variable

    $14,500

     

    Fixed 

    $ 7,500

     

     

    Total 22,000

    Actual labour hours used

    11,800 hours

     

    Actual production volume

    5,500 units

     

    Require: Overhead three variances 

     [Answer: SV = ($340) F; EV = $1,040 U; CV = ($700) F;

    *SQ = 5,500 units × 2 hours per units = 11,000 DLH

     

    SOLUTION

    Given and working note: 

    Base budgeted units

    = 10,000 units

     

     

    Standard labour hours

    = 2* hours per unit

     

     

    Hourly overhead rate (SR)

    = FC + VC

    = 0.7 + 1.3

    = $2

    Budgeted or standard fixed cost (FC)

    = Rs 7,000

     

     

    Actual expenses incurred

    = Actual FC + Actual VC

    = 7,500 + 14,500

    = $22,000

    Actual labour hours used (AQ)

    = 11,800 DLH

     

     

    Actual production (SQ)

    = 5,500 units x 2* HPU

    = 11,000 DLH

     

    Again

    O1

    Actual overhead incurred

    7,500 + 14,500

    22,000

    O2

    Standard FC + VCPU x AQ

    7,000   +    1.3 x 11,800  DLH

    22,340

    O3

    Standard FC + VCPU x SQ

    7,000   +    1.3 x 11,000  DLH

    21,300

    O4

    SR x SQ

    2 x 11,000  DLH

    22,000

     

    Now

    1. Overhead spending variance

    = O1 – O2

    = 22,000 – 22,340

    = ($340) F

    2. Overhead efficiency variance

    = O2 – O3

    = 22,340 – 21,300

    = $1,040 U

    3. Overhead capacity variance

    = O3 – O4

    = 21,300 – 22,000

    = ($700) F

                       

     

     

     

    Here, Amount = Rs = $ = £ = € = ₹ = Af = ৳ = Nu = Rf = රු = Br = P = Birr = Currency of your country 

    TU: 2065       Modified

    The costs of two different level of output are as follows:

    Particulars

    Amount  for 25,000 units

    Amount for 35,000 units

     

    Direct materials

    50,000

    70,000

     

    Direct labour

    25,000

    35,000

     

    Direct expenses

    25,000

    35,000

     

    Depreciation

    6,000

    6,000

     

    Insurance

    4,000

    4,000

     

    Supervision

    14,500

    19,500

     

    Required: flexible budget for 28,000 units and 30,000 units

    [Answer: Variable cost: $126,000 and $135,000; Fixed cost = $12,000;

    Total cost = $138,000 and $147,000]

    SOLUTION

    Calculation for 25,000 units

    Activities

    Cost basis

    Variable cost

    Fixed cost = Total cost – Variable cost

     

     

    Per unit

    Total 

     

    Direct materials

    Variable

    2.00

    50,000

    –

    Direct labour

    Variable

    1.00

    25,000

    –

    Direct expenses

    Variable

    1.00

    25,000

    –

    Depreciation

    Fixed

    –

    –

    6,000

    Insurance

    Fixed

    –

    –

    4,000

    Supervision 

    Semi-variable 

    0.50

    12,500

    14,500 – 12,500 =             2,000

     

    Again

    Variable cost per unit

    = Difference in cost ÷ Difference in output  

    Supervision

    = ($19,500 – $14,500) ÷ (35,000 units – 25,000 units)     = $0.50

     

     

    Fixed cost (a)

    = y –  bx                   

     

    = $14,500 – $0.50 x 25,000 units        

     

    = $2,000

     

     

    Flexible Budget

    XYZ  Company

    For 28,000 DLH and 30,000 DLH

    Particulars

    25,000 DLH

    28,000 DLH

    30,000 DLH

    Variable cost:         

     

     

     

    Direct materials

    Output @ $2.0

    50,000

    56,000

    60,000

    Direct labour

    Output @ $1.0      

    25,000

    28,000

    30,000

    Direct expenses

    Output @ $1.0

    25,000

    28,000

    30,000

    Supervision

    Output @ $0.5

    12,500

    14,000

    15,000

    Total variable cost (A)

    112,500

    126,000

    135,000

    Fixed cost:   

     

     

     

    Depreciation

    6,000

    6,000

    6,000

    Insurance

    4,000

    4,000

    4,000

    Supervision

    2,000

    2,000

    2,000

    Total fixed cost (B)

    12,000

    12,000

    12,000

    Budgeted total cost               (A+B)

    124,500

    138,000

    147,000

     

     

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    जय गूगल. जय युट्युब, जय सोशल मीडिया

     

     

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