Accounting for Labour Numerical Questions solved

 

Accounting for Labour

 

 

Numerical questions from Old is Gold

1.            2076 set C

Output per hour=5 units                                               Wages rate per hour=Rs 10

Working hours per day=7 hours                Working days for the month=25 days

Required: Wages of the worker for the month      (Ans= Rs 1,750)

 Solution:

Given, 1 hour=5 units

Wages=1 hour=Rs 10 (time rate)

1 day= 7 hours

1 month = 25 days

Total wages= Wage rate per hour x Total hours worked for the month

=Rs 10 x (7 hours/per day x 25 days/month)=Rs 10 x 175 hours=

Rs 1750    Ans

                                                                                Or

Total wages= Rs 10 x 175 hours= Rs 1,750 Ans

WN.       1 day    =                                             7 hours                

1 month=25 days             =                             7 x 25=175  (Total hours)

 


2.            2076 Set-B

The following information is given:

Normal wages rate per hour =Rs200  (time Rate)              

Normal time per unit=30 minutes

Output produced by a worker = 40 units

Required: Wages of the worker under piece rate system (Rs 4,000)

Solution:

Total Wages = Wages rate / unit x Total units of output

                                = Rs100x 40 units= Rs 4,000          Ans

 

WN:                                                       1 hour= Rs 200 ----------i

                30  minutes =30/60=1/2 hour= 1 unit

                                                                1 hour=2 units---------ii

From eq i & ii

2 units = Rs 200

1 unit= Rs 200/2 = Rs 100 (Piece Rate)

 


3.            2075 GIE

Time Rate=         Rs 20 per hour

Standard Production= 5 units per hour

Weekly production:        Mr. X=40 units

                                                                Mr. Y= 50 units

Required: Wages amount of each worker for the week.

( Ans-Rs 160 &Rs 200)

Solution:

Total wages= Wages rate/hour x Total Hours for the week

                Mr. X     =Rs 20 x 8 hours= Rs 160

                Mr. Y= Rs 20 x10 hours= Rs 200         Ans

WN:                       5 units = 1 hour

                                1 unit=1/5 hour

MR X=40 units=1/5x40=8 hours

Mr. Y=50 units=1/5 x 50 =10 hours

Or

Under Piece rate system

Total wages= Wages rate /unit x Total Units of output

Mr. X=Rs  4X 40 units=Rs 160

Mr.Y= Rs4 X 50 units=Rs 200        Ans

WN:  1 hour = Rs 20--------i

                1 hour= 5 units------ii

From eq. i & ii

5 units= Rs 20

1 unit=Rs 20/ 5= Rs 4(piece Rate)

 


4.            2075 Set-A

Standard Output in a day of 8 hours is 56 units. Rate Per unit is Rs 100 and a worker worked 180 hours in a month.

Required:            Monthly Wages of a worker.( Ans= Rs 126,000)

Solution:

Total Wage= Wage rate/unit x Total Units of output produced during the Month

                                = Rs 100 x 1,260 units= Rs 126,000    Ans

WN:       8 hours                 =  56 units

                1 hour                   =56/8= 7 units

180 hours                                            =7x 180= 1,260 (total Units)

 

 


5.            2075 Set-B

The standard output per hour is 10 units. The piece rate is Rs 20 and a worker worked for 240 hours in a month.

Required:            Monthly Wages of a worker.      ( Ans= Rs 48,000)

Solution:

Total Wages= Wage rate/unit x Total units

                                =Rs 20 x 2,400 units= Rs 48,000 Ans

WN:       1 hour= 10 units

                240 hour=10 x 240= 2,400 (total units)

 


6.            2074 supplementary

Working hour per day=8 hours,                 Wage per hour=               Rs 25

Working days in a month=           25 days

Required:            Monthly Wages of a worker   (Ans= Rs 5,000)

Solution:

Total wages= Wages rate/hour x Total hour worked

                                = Rs 25 x 200 hours =Rs 5,000

WN:       1day=8 hours

                25 days = 8 x 25=200  (Total hours)

 


7.            2074 Set –A

The standard Time per unit is 1.5 hour. The piece rate is Rs 200 and a worker worked for 180 hours in a month.

Required:            Monthly Wages of a worker.      (Ans= Rs 24,000)

Solution:

Total Wages= Piece rate(wage per unit) x Total units

                                = Rs 200 x 120 units=Rs 24,000 Ans

WN:       1.5 hour                               =             1 unit

                1 hour                   =             1/1.5

Total 180 hours                 =1/1.5 x180=120 (total units)

 

 


8.            2074 Set- B

Monthly working days=26 days Working hours=8 hours per day

Hourly output=4 units                    Wages rate per unit= Rs 10

Required:            Total Wages of a worker.                              (Ans= Rs 8,320)

Solution:

Total wages= Wages rate/unit x total units for the month

                                = Rs 10 x 832 units= Rs 8,320 Ans

WN: 1 day= 8 hours

                26 days=8 x 26=208 total hours

WN:       1 hour =4 units

                208 hours=4x 208=832 Total units

                                                Or

Total wages= Rate/unit x Total units

                                = Rs 10 x ( 4 units/hour x 8 hours/day x 26 days/month) = Rs 10 x 832 units=Rs 8,320

 

 


9.            2073 Set- C

Working hours per week=50 hours         

Working weeks in a year=40 weeks

Output per hour=2 units

Wages per unit=Rs 10

Required:            Annual Wages of a worker                           ( Ans= Rs 40,000)

Solution:

Total number of units= 50x2x40=4000 units.

Total Wages = 4000x10 = Rs.40,000    ANS.

 

 

 


10.          2073-Set D

Time allowed Per unit of output=45 minutes

Wages rate per hour=Rs 240

Production units=100 units

Required: Total wages                                   (Ans= Rs 18,000)

Solution:

Total hours worked = time allowed per unitx total number of units

                                      =(45/60)x100 hours = 75 hours.

Total Wages = wage per hour x total working hours

                        = Rs. 240 x 75 = Rs. 18,000/-   ANS

 

 


11.          2073 Supp

Wages Rate=Rs 100 per hour      Normal Time=30 minutes/unit

Production:        Unish=30 units and Uroj=40 units

Required:            Total Wages of each worker under piece rate system.

Solution:

Total wages = Piece rate or wage/unit x total units

Unish= Rs 50 x 30 units=Rs 1,500

Uroj =Rs 50 X 40 units=Rs 2,000                  Ans

WN: 1 hour                         =             Rs 100--------i

                30 minute=30/60 hour=1 unit

                                1 hour=2 units-----------ii

From eq i & ii

2 units= Rs 100

1 unit=100/2= Rs 50(piece rate)

 

 


12.          2069 Set- A

Time allowed for 10 units of product= 1 hour

Hourly rate of wages= Rs 40

Output produced:           Mahila = 55 units and Kanchha =62 units

Required:            Total Wages of each worker under piece rate system.

Solution:

Piece wage rate = Hourly wages/hourly produced units

                              = Rs. 40/10 = Rs.4

Mahila’s wages = units produced x wage per unit = 55 x Rs. 4 = Rs. 220  ANS

Kanchha’s wages = units produced x wage per unit = 62 x Rs.4 = Rs.248 ANS

 

 

 


13.          2069 Set- B

The time allowed for one unit of output is 20 minutes. The hourly wages rate is Rs 180. A worker produced 10 units in a certain period.

Required: Total earning of the worker under time rate system and piece rate system.

Solution:

Total working hours = time allowed per unit x total number of units=(20/60) x 10 =10/3 hours.

Total wages = Total working hours x Hourly wage rate = 10/3 x Rs. 180 =Rs. 600  ANS

Again,

Hourly production = 60 minutes/20 minutes(unit time) =3 units.

Unit piece wage rate= hourly wage/hourly produced units=  Rs.180/3 = Rs.60 ANS

 

 


14.          2069 Supplementary

Daily wages of a worker working 7 hours in a day is fixed at Rs 140. Standard output per hour is fixed at 2 units. He produced total 420 units of output during the month.

Required:            Monthly Wages of the worker.

Solution:

 Daily wage rate(One day wage) = Rs.140

Total working days in a month = 30 days.

:. Total wage for the month = daily wage rate x number of days worked= Rs.140 x 30 =Rs.4200/- ANS

 

 


15.          2067

The Standard output in a day of 8 hours is 48 units. The piece rate is Rs 3. A and B worked for 100 and 90 hours respectively.

Required: Total wages of worker A and B.

Solution:

 8 hours production = 48 units

1 hour production = 48/8 = 6 units.

Hourly wage rate = hourly production x rate per unit =  6 units x Rs. 3 = Rs. 18.

:. Worker A’s wage = Rs. 18 x 100 = Rs. 1800/-

:. Worker B’s wage = Rs. 18 x 90 = Rs.1620/-

Total wages of worker A and B= RS 1800/- +Rs. 1620/-=Rs.3420/-  ANS

 

 

 


16.          2064

The weekly working hours in a factory is 50 hours and a worker worked for 50 weeks during the year. The hourly output is 10 units. The wages rate per unit is Rs 10

Required:            Annual Wages of the worker under piece rate system.

Solution:

Total production = hourly production x total working hours=10 units x(50 x50)=25000 units.

Wage rate per unit = RS. 10/-

:.Total wages = Wage per unit x total number of units produced =Rs.10/- x 25000= Rs. 2,50,000/-

Ans= Rs 250,000

 

 


17.          2066

The weekly working hour is 48 hours and a worker worked 40 weeks on an average, during a year. The wages rate per unit is Rs 10 and production unit per hour is 20.

Required:            Annual Wages of the worker under piece rate system.

Solution:

Total production = hourly production x total working hours=20 units x(48 x 40)=38400 units.

Wage rate per unit = RS. 10/-

:.Total wages = Wage per unit x total number of units produced =Rs.10/- x 38400= Rs. 3,84,000/- ANS

 

 


18.          2072 set- C

The  normal working hour of a worker for a week is 40 hours. He has worked for 50 hours during the week. The normal wages rate is Rs 100 per hour and overtime is paid at 120% of the normal rate.

Required: Total earning of the worker including overtime pay.

Solution:

Normal working hours = 40 hours

Normal hourly wage rate = Rs. 100/-

Overtime working hours = 10 hours

Overtime hourly wage rate = 120% of Rs.100=Rs. 120/-

When we are given overtime and over time rate

:.Total wages= Normal time wages + Over time wages

                =Normal time rate x normal hour + O.T rate x O.T hour

                =Rs.100 x 40 + Rs.120 x 10 =Rs.5200/- ANS

 

 


19.          2072 Set- E

The standard time allowed per unit is 90 minutes. The hourly wages rate is Rs 100. The worker produced 20 units during the certain period.

Required: Total wages of the worker under time rate system.

Solution:

Hourly wage rate = Rs. 100/-

Total working hours = time allowed per unit x total number of units = (90/60)x20 hours

                                                                                                                          = 30 hours

Total wages = wage per hour x total working hours= Rs. 100/- x 30 =Rs. 3,000/- ANS

 

 


20.          2064 Supplementary

A worker is engaged in a factory has worked for 60 hours in a week. The normal working hour per week is 48 hours and standard wages rate is Rs 20 per hour. Overtime Wages rate is Rs 15 per hour which is 75% of the normal rate.

Required: Total wages of the worker for the week.

Solution:

Normal working hours = 48 hours

Normal hourly wage rate = Rs. 20/-

Overtime working hours = 12 hours

Overtime hourly wage rate=Rs. 15/-

When we are given overtime and over time rate

:.Total wages= Normal time wages + Over time wages

                =Normal time rate x normal hour + O.T rate x O.T hour

                =Rs.20x 48 + Rs.15 x 12 =Rs.1,140/- ANS

 

 

 

 

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