working capital sums 16
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Problem:1
The following are the estimates furnished to you by Wcap Limited.
1. Estimated output 60000 units.
2. Cost price Rs 90 consisting of raw material, labor cost and overheads
in the ratio of 3:2:1.
3. Raw material and finished goods will remain in stock for 20 days and
10 days respectively.
4. Work in process will be for on an average 15 days, for which labor cost
and overheads are to be considered at 60% and 50% completion stage
respectively.
5. Goods are sold at one month credit.
6. 20% purchases are made by advance payment of one month, 20% are
on cash basis and the remaining purchases are on 2months credit.
7. Wages are paid on monthly basis.
8. Overheads are paid with 20 days time lag.
9. The management wants to maintain minimum cash balance of Rs
1,00,000.
Prepare a statement showing estimated working
capital.
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Problem:2
A proforma cost sheet of a company provides the following particulars.
Elements of cost Amount per unit
Raw Material 80
Direct Labor 30
Overheads 60
Total cost 170
Profit 30
Selling price 200
The following further particulars are available.
Raw materials are in stock of one month.
Credit allowed by suppliers is one month.
Credit allowed to customers is two months.
Lag in payment of wages 1.5 weeks.
Lag in payment of overheads one month.
Materials are in process for an average of half month.
Finished goods are in stock for an average of one month.
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of output is sold against cash.
Cash in hand and at bank is expected to be 25,000. You are requested to
prepare a statement showing the working capital needed to finance level of
activity of 1,04,000 units of product.
You may assume that production is carried on evenly throughout the year.
Wages and overheads accrue similarly and a period of 4 weeks is equivalent
to a month.
Problem:3
Calculate the working capital from the following particulars.
(1)Annual Expenses
Wages Rs 52,000
Stores and materials Rs 9,600
Office salaries Rs 12,480
Rent Rs 2,000
Other expenses Rs 9,600
(2)Average amount of stock to be maintained
Finished goods stock Rs 1000
Materials/stores Rs 1600
(3)Expenses paid in advance
(quarterly advance) Rs1600p.a
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(4)Annual sales
Home market Rs62000
Foreign market Rs15600
(5)Lag in payment of
Wages 1.5 weeks
Stores and materials 1.5months
Office salaries 0.5months
Rent 6months
Other expenses 1.5months
Problem:4
Raju brothers pvt. Ltd. Sells goods on a gross profit of 25%. Depreciation
is considered in cost of production. The following are the annual firure
given to you.
Sales (two months credit) Rs.1800000
Materials consumed(one month credit) Rs. 450000
Wages paid(1 month lag in payment) Rs.360000
Administration exp.(1month lag in payment) Rs.120000
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Sales promotion exp.(paid quarterly in advance) Rs.60000
Income tax payable in 4 equal installments of Rs.150000
which one false in the next year
cash manu. Exp.(1 month lag in payment) Rs.480000
The company keeps 1 months stock each of raw materials and
finished goods. It also keeps rs. 100000 in cash. You are required to
estimate the working capital requarements of the company on cash basis
assuming 15% safety margin.
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Problem:5
On 1st January 1994, the board of directors of jain Ltd wish to know the
amount of working capital that will be required to meet the programme of
activity they have planned for the year. From the following information
available, prepare:
A working capital requirement forecast
An estimated profit and loss account and balance sheet at the end of the
year
1) Issued and paid up share capital Rs 2,00,000.
2) 5% debentures (secures on assets)Rs 50,000
3) Fixed assets valued at Rs 1,25,000 on 31st December 1993.
4) Production during the previous year was 60,000 units, it is planned
that this level of activity should be maintained during the present
year.
5) The expected ratios of cost of selling price are : raw material
60%,direct wages 10%, and overheads 20%.
6) Raw materials are expected to remain in stores for an average of tow
months before issue the production.
7) Each unit of production is expected to be in process for one month
(assume that full units of raw material required at the beginning of
manufacturing other conversion cost are 50%)
8) Finished goods will stay in warehouse for approximately 3 months.
9) Creditors allow credit for two months from the date of delivery of the
materials.
10) Credit allowed to debtors is three months from the date of
dispatch.
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11) Selling price per unit is Rs 5
12) There is a regular production and sales cycle.
Problem 6:
On 1.1.87, board of XYZ Ltd. planned a program for the year. They desire toknow the amount of working capital required for the same. From thefollowing information, prepare an estimate of working capital required and aforecasted Profit and Loss Account and Balance Sheet neglecting
depreciation on fixed assets.Issued share capital Rs.4, 00,000
8% Debentures Rs.1, 00,000
Fixed Assets on 1.1.87 Rs.2, 50,000
Production during 1986 was 1, 20,000 and it is proposed to maintain thesame during 1987.The expected ratios of cost to selling price are:
Raw Material 60%
Direct Wages 10%
Overheads 20%
1. Raw Material are expected top remain in stores for an average of 2months before issue to production.
2. Each unit of production is expected to be in process for 1 month.
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3. Finished goods will stay in warehouse awaiting despatch to customersfor approximately 3 months.
4. Credit allowed by creditors is 2 months from the date of delivery ofraw materials.
5. Credit given to debtors is 3 months from the date of despatch.
6. Selling price is Rs.5/- per unit.
7. Sales and production follow a consistent pattern.
Problem 7:
The management of Royal Industries has called for a statement showing
working capital needs to finance a level of activity of 1, 80,000 units ofoutput for the year. The cost structure for the companys product for theabove mentioned activity level is detailed below.
Cost per Unit(Rs.)
Raw materials 20
Direct Labour 5
Overheads (including depreciation of Rs.5 per unit) 15
40
Profit 10
Selling Price 50
Additional Information:
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(a) Minimum desired cash balance is Rs.20,000
(b) Raw materials are held in stock, on an average for two months.
(c) Work in progress (assume 50% completion stages) will approximateto half a months production.
(d) Finished goods remain in warehouse on an average for a month.
(e) Suppliers of materials extend a months credit, Cash sales are 25% oftotal sales.
(f) There is a time-lag in payment of wages of month and half a month incase of overheads.
From the above facts, you are required to
(i) Prepare a statement showing working capital needs.
(ii) Determine the maximum working capital finance available underfirst two methods suggested by Tandon Committee
Problem 8:
Estimate working capital required from the data of Delhi Ltd.
Cost price per unit-
Raw material RS.40
Labour Rs.10
Overheads Rs.30
Projected sales 75000 units at Rs.100 per unit
Debtors pay after 10weeks
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Creditors are paid after 4weeks
Raw material in stock 6weeks
Finished stock 8weeks
Production Processing time 4weeks
Wages are paid once in 4weeks
Contingency 10%of working capital
Assume Cash and Bank Balance Rs.1,87,500
Problem 9 :
You are required to calculate average amount of working capital from
the following information.
Estimates for year Rs.
(a)Average amount locked up for-
Stock of finished goods Rs.5,000
Stock of stores/materials Rs.8,000
(b)Average Credit given-
Inland sales -6 weeks credit 3,12,000
Export sales-1.5 weeks credit 78,000
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(c)Lag in payment of-
Wages-1.5 weeks 2,60,000
Stores/materials etc.-1.5 months 48,000
Rent, Royalties etc.-6 months 10,000
Staff Salary-1/2 month 4,800
Miscellaneous Expenses-1.5 months 48,000
(d)Payment in advance-
Sundry Expenses (Paid Quarterly in advance) 8,000
Problem 11:
From the following details, prepare an estimate of the requirement
working capital.
Production -60,000 units
Selling price per unit -Rs.5
Raw Materials -60% of selling price
Direct Wages -10% of selling price
Overheads -20% of selling price
Materials in hand -2 months
requirements.
Production time -1 month
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Finished goods in stores -3 months
Credit for material -2 months
Credit allowed to customers -3 months
Average cash balance Rs.20,000
Wages and overheads are paid at the beginning of the month
following. In production, all the required materials are charged in the
initial stages and wages and overheads accrue evenly.
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Problem 12:
Prepare a statement showing estimated amount of working capital from the
following information of VORLAP Limited, Pune:
Expected sales level: 24,000 units @ Rs. 150 per unit.
Cost of the product (per unit) : Raw ,aterial-Rs.60, Labour cost- Rs.40,
Variable overheads-Rs.20.
Raw material and finished goods will stay in stock for 10 days and 20
days res.
The material will stay in process for 15 days.
The labour cost and overheads may be considered at 60% completion
stage for work in Progress.
The purchases are made with two months credit; while the goods are
sold with one and a half month credit.
Labourers are paid on every 10th day of the next month.
Overheads are paid with one month time lag.
The company wants to maintain Rs.1, 00,000 for contingencies.
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Problem 13:
Prepare a statement showing estimated amount of working capital from the
following information of WORCAP Limited, Pune:
Expected sales level 1, 04,000 units @ Rs. 25 per unit.
Cost of the product (per unit): Raw material-Rs.8, Labour- Rs.6,
Overheads -Rs.3.
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Raw material and finished goods will remain in stock for 2 weeks and 3
weeks res.
The material will remain in process for 15 days.
The work-in-progress shall be valued at 60% and 40% in completion
stage of Labour cost and Variable overheads res. Fixed overhead will
be ignored for this situation.
The purchases are made with 2 months credit while the goods are sold
with one and a half months credit.
70% of the Labour cost is paid on every 10th day of the next month
while remaining overheads are paid on weekly basis.
Overheads are paid with 1 month time lag.
Add 10% of your computation for contingencies.
Problem14:
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From the following detail. You are required to make an assessment of
the average amount of working capital requirement of Fine Drinks
Limited.
Average period
Estimate for frist
Of credit year
Rs.
Purchase of material 6 weeks26,00,000
Wages 1/2weeks
19,50,000
Overheads Rent, rates etc. 6 months
1,00,000
Salaries 1 month
8,00,000
Other overheads 2months
7,50,000
Sales cash
2,00,000
Credit sales 2 months
60,00,000
Average amount of stock and
Work in progress
4,00,000
Average amount of undrawn profit
3,00,000
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It is to be assumed that all expenses and income were
made at even rate for the year.
Problem15:
Following annual firures relate to XYZ & co.
Rs.
Sales (at two months credit)
36,00,000
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Material consumed (supplier extend two months credit)
9,00,000
Wages paid (monthly in areas)
7,20,000
Manufacturing expenses outstanding at the end of the
Year (cash expenses are paid one month in arrear)
80,000
Total administrative expenses paid as above
2,40,000Q
Sales promotion expenses, paid quarterly in advance
1,20,000
The company sells its products on gross profit of 25% counting
depreciation as part of cost of production and keeps one months
stock
each of raw material and finished goods and a cash bal. of rs.
1,00,000.
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Problem16:
XYZ cements Ltd. Sells its products on a gross profit of 20% on sales.
The followimg information is extracted from its annual accounts for the
year ended 31st Dec. 1989.
Rs. In lacs
Sales at 3 months credit 40.00
Raw material 12.00
Wages paid
- 15 days in arrears 9.60
Manufacturing Expenses paid
- One month in arrears 12.00
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Administrative exp. Paid
- Payable half yearly in advance 2.00
The company enjoys one months credit from the supplier of raw
materials and maintains 2 months, stock of raw materials and half
months finished goods. Cash balance is maintained at Rs. 1,00,000
as a precautionary balance. Assuming a 10% margin, find out the
working capital requirements of XYZ cements Ltd.
Problem17:
Calculation the amount of working capital requirement for jolly &
co. Ltd. from the following information.
Rs. Per unit
Raw material 160
Direct labour 60
Overheads 120
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Total cost 340
Profit 60
Selling price 400
Raw material are held in stock on and average for one month,
materials are in process on and average for half a month. Finished
goods are in stock on and average for month.
Credit allowed by supplier is one month and credit allowed to
debtors is two months. Time lag in payment of wages is 1.5 weeks.
Time lag in payment of overhead is one month. One forth of the
finished goods are sold against cash.
Cash on hand and at bank is expected to be Rs.50,000 and
expected level of production amounts to b 1,04,000 units.
You may assume that production is carried on evenly
throughout the tear, wages and overheads accrue and a timeperiod of four weeks is equivalent to a month.
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