Practice Problem On CVP
Practice Problem On CVP
sale
va
contri
fc
pro
Statement of Marginal Cost
Rupees
Particulars Units
Per Unit Total
Sales (a) 1000 14 14000
Less: Variable Costs (b) 1000 10 10000
Contribution (a-b) 1000 4 4000
Less: Fixed Costs (a-b-c = b/f) 3000
Operating Profit (c) 1000
14000
10000
4000
3000
1000
There is boy who is doing the business of trade in lemons. He bought 2000 dozons of
lemons during the last period @Rs. 20 per dozen and sold those lemons @Rs. 28 per
dozon. He earned a profit of Rs. 2000 during the peirod.
Find out what was his fixed cost.
56000
40000
16000
Statement of Marginal Cost
Rupees
Particulars Units
Per Unit Total
Sales (a) 2000 28 56000
Less: Variable Costs (b) 2000 20 40000
Contribution (a-b) 2000 8 16000
Less: Fixed Costs (a-b-c = b/f) 14000
Operating Profit (c) 2000
There is boy who is doing the business of trade in lemons. He bought 1000 dozons
and sold those lemons @Rs. 14 per dozon. He earned a profit of Rs. 1000 during the
period. In the next period he bought 2000 dozens and sold those lemons@ Rs. 14.
He ended up earning a profit of Rs. 5000.
Find out what was his fixed cost and variable cost. Also Find P/V Ratio.
Statement of Change Analysis
Rupees
Particulars
Current Peiod Past Period Change
Sales (a) 28000 14000 14000
Operating Profit (c) 5000 1000 4000
P/V Ratio (Change in c / Change in a) 28.57% Item
Sales
V.C.
C
Statement of Marginal Cost for Current Period
Rupees
Particulars Units
Per Unit Total
Sales (a) 2000 14 28000
Less: Variable Costs {a*(100-p/v R)} 2000 10 20000
Contribution (a*p/v R) 2000 4 8000
Less: Fixed Costs (a-b-c) 3000
Operating Profit (c) 5000
P/V Ration = Contri / Sales 28.57%
750
750
250
250
2000
2000
10.00%
1154
1154
There is boy who is doing the business of trade in lemons. He bought 1000 dozons of
lemons during the last period @Rs. 10 per dozen and sold those lemons @Rs. 14 per
dozon. He has a fixed cost of Rs. 3000 during the peirod.
Find out what was his profit and P/V Ratio. Also find break even point and Margin
of Safety.
How much should he sell to earn a profit of Rs. 5000 despite a hike of Rs. 1500 due
to sales promotion and a fall in per unit selling price and purchase price by 10%
and 5% respectively. What will be the change in P/V Ratio and BEP due to these
changes?
Statement of Marginal Cost at Present Sale Level
Rupees
Particulars Units
Per Unit Total
Sales (a) 1000 14 14000
Less: Variable Costs (b) 1000 10 10000
Contribution (a-b) 1000 4 4000
Less: Fixed Costs (c) 3000
Operating Profit (a-b-c) 1000
P/V Ratio = Contri / Sales 28.57%
Fixed Cost
BEP in Rupees = Fixed Cost / p/v Ratio
BEP in Units = Fixed Cost / Contribution Per Unit
BEP in Units = BEP in Rupees / S.P. Per Unit
Sale for Desired Profit in Rupees = (Fixed Cost + Desired Profit) / p/v Ratio
Sale for Desired Profit in Units = (Fixed Cost + Desired Profit) / Contribution Per Unit
Sale for Desired Profit in Units = Sale for Desired Profit in Units / S.P. Per Unit
Per Unit Amount
14
10
4
28.57%
750
750
250
250
2000
2000
4500
18290.32
1451.61
1451.61
38612.90
3064.52
3064.52
Selling price per unit = Rs 50 Variable cost per unit = Rs 25 Fixed cost per annum =
Rs 40,000
The maximum capacity of the company is 30,000 units per year. You are required
to calculate
1) Profit volume ratio
2) Break even point
3) Sales required earning a profit of Rs 80,000 in the year.
4) Calculate the MOS if the plant is operated at 20,000 units a year.
Answers
Total Units
50.00% 50.00%
80000 1600
240000 4800
920000 18400
Statement of Marginal Cost at Given Capacity Level
Rupees
Particulars Units
Per Unit Total
Sales (a) 20000 50 1000000
Less: Variable Costs (b) 20000 25 500000
Contribution (a-b) 20000 25 500000
Less: Fixed Costs (c) 40000
Operating Profit (a-b-c) 460000
Analysis through Formula
Particulars Total Amount
Sales
1600
1600
4800
4800
18400
Selling price per unit = Rs 120 Variable cost per unit = Rs 90 Fixed cost per annum =
Rs 2,40,000
The maximum capacity of the company is 50,000 units per year. You are required
to calculate
1) Profit volume ratio
2) Break even point
3) Sales required earning a profit of Rs 80,000 in the year.
Calculate the MOS if the plant is operated at 30,000 units a year.
Answers
Total Units
25.00% 25.00%
960000 8000
1280000 10667
2640000 22000
Statement of Marginal Cost at Given Capacity Level
Rupees
Particulars Units
Per Unit Total
Sales (a) 30000 120 3600000
Less: Variable Costs (b) 30000 90 2700000
Contribution (a-b) 30000 30 900000
Less: Fixed Costs (c) 240000
Operating Profit (a-b-c) 660000
Analysis through Formula
Particulars Total Amount
Sales
8000
8000
10667
10667
22000
Selling price per unit = Rs 50 Variable cost per unit = Rs 30 Fixed cost per annum =
Rs2,00,000
The maximum capacity of the company is 2, 00,000 units per year. You are
required to calculate
1) Profit volume ratio
2) Break even point
3) Sales required earning a profit of Rs 1,00,000 in the year.
4) Calculate the MOS if the plant is operated at 50% 0f the capacity.
Total Units
40% 40%
500000 10000
750000 15000
4500000 90000
Statement of Marginal Cost at Given Capacity Level
Rupees
Particulars Units
Per Unit Total
Sales
50
30
20
40.00%
10000
10000
15000
15000
90000
Selling price per unit = Rs 50 Variable cost per unit = Rs 30 Fixed cost per annum =
Rs2,00,000
The maximum capacity of the company is 2, 00,000 units per year. You are
required to calculate
1) Profit volume ratio
2) Break even point
3) Sales required earning a profit of Rs 1,00,000 in the year.
4) Calculate the MOS if the plant is operated at 50% 0f the capacity.
Sales
50
25
25
50.00%
10000
10000
14000
14000
90000
Selling price per unit = Rs 20 Variable cost per unit = Rs 14
Fixed cost per annum = Rs 7, 92,000
The maximum capacity of the company is 5, 00,000 units per year. You are required to
calculate
1) Profit volume ratio
2) Break even point
3) Sales required earning a profit of Rs 80,000 in the year.
4) Calculate the MOS.
5) Calculate the requirement of sales revenue if profit required is 10% 0n the sales made.
Answers
Total Units
30.00% 30.00%
2640000 132000
2906667 145333
1320000 66000
3960000 198000
Statement of Marginal Cost at Given Capacity Level
Rupees
Particulars Units
Per Unit Total
Sales (a) 198000 20 3960000
Less: Variable Costs (b) 198000 14 2772000
Contribution (a-b) 198000 6 1188000
Less: Fixed Costs (c) 792000
Operating Profit (a-b-c) 396000
Analysis through Formula
Particulars
Sales
Particulars
Sales (a)
Operating Profit (c)
P/V Ratio (Change in c / Change in a)
Contribution
Fixed Cost (Contribution - Profit)
BEP in Rupees = Fixed Cost / p/v Ratio
Desired Profit
Sale for Desired Profit in Rupees = (Fixed Cost + Desired Profit) / p/v Ratio
Margin of Safety = Present Sales - BEP Sales
Rupees
Current Peiod Past Period Change
Sales Profit
year 2005 7000 1200
year 2006 9000 2400
Answers
You are required to calculate year 2005 year 2006
1) Profit volume ratio 60.00% 60.00%
2) Break even point 5000 5000
3) Sales required earning a profit of Rs 10,000 in the year. 16667 16667
4) Calculate MOS for both the years. 6000 4000
Statement of Change Analysis
Particulars
Sales (a)
Operating Profit (c)
P/V Ratio (Change in c / Change in a)
Contribution
Fixed Cost (Contribution - Profit)
BEP in Rupees = Fixed Cost / p/v Ratio
Desired Profit
Sale for Desired Profit in Rupees = (Fixed Cost + Desired Profit) / p/v Ratio
Margin of Safety = Present Sales - BEP Sales
Rupees
Current Peiod Past Period Change
Sales (a)
Operating Profit (c)
P/V Ratio (Change in c / Change in a)
Contribution
Fixed Cost (Contribution - Profit)
Desired Profit
Sale for Desired Profit in Rupees = (Fixed Cost + Desired Profit) / p/v Ratio
ent of Change Analysis
Rupees
1987 BEP Change Next Period % 1988 _% 1988
200000 160000 40000 300000 100 90
12000 0 12000 42000
30.00% 30 20 22.22%
60000 48000 90000
48000 48000 48000 48000
12000
270000
SV ltd a multi product company, furnishes you the following data relating to the year 1979.
Assuming that there is no change in prices and variable costs that the fixed expenses are incurred
equally in the two half year periods calculate for the year 1979
Calculate
(a) PV ratio
(b) Fixed expenses
(c) Break even sales
(d) Margin of safety
data relating to the year 1979.
Statement of Change Analysis
Second half of the year
Particulars
Rs.50,000
Rs.43,000 Sales (a)
Total Cost (b)
that the fixed expenses are incurred
9 Operating Profit (a-b = c)
Answers P/V Ratio (Change in c / Change in a)
40.00% Contribution
26000 Fixed Cost (Contribution - Profit)
65000 BEP in Rupees = Fixed Cost / p/v Ratio
30000 Margin of Safety = Present Sales - BEP Sales
Statement of Change Analysis
Rupees
Second half of the year First half of the yearChange Full Year
50000 45000 5000 95000
43000 40000 83000
Fixed Overheads for the year:- Factory overheads Rs. 2,80,000 Office overheads Rs. 2,20,000
Calculate:
· P/VRatio.
· Break Even Points in Units.
· Margin of Safety Amount.
· Break Even Point if fixed overheads increased by 20%.
· Revised P/V ratio when selling price increased by 20%.
Statement showing Calculation work for Cost Elements
Particulars
280000
220000
500000 500000 600000
mula
40%
12500
2750000
15000
50%
The ratio of variable cost to sales is 70%. The break-even point occurs at
60% of the capacity sales. Answers
Find this capacity sales when fixed costs are Rs. 90,000. 375000
Also compute profit at 75% of the capacity sales. 22500
Percentage Analysis of Marginal Cost
Sales 100%
Variable Cost 70%
Contribution or P/V Ratio 30%
Workings
Fixed Cost 90000
BEP in Rs. = FC/ p/v Ratio 300000
BEP Capacity Level 60%
Full Capacity Sales in Rs. 500000
Profit Calcualtion at Capacity Level 75%
Fixed expenses:
Depreciation - Rs. 1,00,000 & Salaries - Rs. 1,00,000
Variable exp:
Material - Rs. 3 per unit Labour - Rs. 2 per unit
Selling price - Rs. 10 per unit
Statement showing Calculation work for Cost Elements
Particulars Rupees
Individual
Sales (a) Per Unit
Matetrial 3
Labour 2
Variable Costs (b) Per Unit 5
Conntribution (a-b) Per Unit
Depreciation 100000
Salaries 100000
Fixed Cost (c) In Total 200000
5 5
5 4
200000 200000
40000 50000
From the following data compute
Sales Price.
Direct Material.
Direct Wages.
Variable Administrative Overheads
Fixed Factory Overhead.
Fixed Administrative Overheads.
Also calculate sales required to earn a profit of 10% of sale in terms of units.
Answers
30%
2640000 132000
257000
198000
Statement showing Calculation work for Cost Elements
Particulars Rupees
Individual Total
Sales (a) Per Unit 20
Matetrial 5
Labour 6
Variable Admin Overhead 3
Variable Costs (b) Per Unit 14 14
Conntribution (a-b) Per Unit 6
If it is decided to work the factory at 50% capacity, the selling price falls by 3%. At 90 % capacity the
selling price falls by 5% accompanied by a similar fall in the prices of material.
You are required to calculate the profit at 50% and 90% capacities and also calculate break even
point for the same capacity productions. Answers
Profit 25000
BEP 132273
Statement showing Calculation work for Cost Elements
Particulars Rupees
Individual Total
Sales (a) Per Unit 20
Matetrial 10
Labour 3
Variable Admin Overhead 2
Variable Costs (b) Per Unit 15 15
Conntribution (a-b) Per Unit 5
Answers
60000 Statement of Marginal Cost
142500 Capacity Levels 40% 50% 90%
Sales Units 10000 12500 22500
Fall in Sellilng Price 0% 3% 5.00%
Revised Selling Price in % 100% 97% 95%
Revised Selling Price Per Unit 20 19.4 19
Formula Calculation
P/V Ratio 25.00% 22.68% 21.05%
BEP in Rs. = FC/pv Ratio 120000 132273 142500
BEP in Units = BEP in Rs / SP 6000 6818 7500
Indian plastics manufactures plastic buckets .an analysis of their accounts reveals the following details:
VC per bucket: Rs 20
Fixed cost: Rs 50,000 PER ANNUM.
CAPACITY: 2000 buckets
Selling price per unit: Rs 70
Required :
a)Find the BEP
b) Find the no of buckets to be sold to get a profit a profit of Rs 30,000.
c)If the company can manufacture 600 buckets more per year with an additional fixed cost of Rs
2,000,what should be the selling price to maintain the profit per unit as in point (b) above.
Statement of Marginal Cost at Present Capacity Levels
Rupees
Particulars Units
Per Unit
Sales (a) 2000 70
Less: Variable Costs (b) 2000 20
Answers Contribution (a-b) 2000 50
Amount UNITS Less: Fixed Costs (c)
70000 1000 Operating Profit (a-b-c)
1600
18.75
Analysis throuh Formula
p/v Ratio = contribution / sales
BEP in rupees = FC/ pv Ratio
BEP in Units = FC/ CPU
Desired Profit
Sale for DP in Units = (FC+DP)/ CPU
acity Levels Statement of Marginal Cost at Desired Profit Capacity Levels
Rupees Rupees
Particulars Units
Total Per Unit Total
140000 Sales (a) 1600 70 112000
40000 Less: Variable Costs (b) 1600 20 32000
100000 Contribution (a-b) 1600 50 80000
50000 Less: Fixed Costs (c) 50000
50000 Operating Profit (a-b-c) 1600 18.75 30000
CHECK 1
71.43%
70000
1000
30000
1600
Statement of Marginal Cost at Enhanced Capacity Levels
Stepts Rupees
Particulars Units
Per Unit Total
5 Sales (a+b+c) 2200 62.39 137250
4 Variable Costs (c) 2200 20 44000
3 Contribution (a+b) 2200 42.39 93250
2 Fixed Costs (b) 52000
1 Operating Profit (a) 2200 18.75 41250
The following information in respect of Product ‘A’ and Product ‘B’ of JMR Ltd. is available.
Product ‘B’
Rs. 640
Rs. 400
20 hours
100% of direct wages Answers
Common A B
the marginal product cost and contribution per unit 600 400 40
alternative sales mixed would you recommend and why? Product Mix 3
d 50 units of Product ‘B’
100 units of Product ‘B’
Statement of Marginal Cost and Contribution
Rupees in Per Unit Product Mix 1 Product Mix 2
Particulars
Product A Product B A Units B Units Total A Units
Sales (a) 1000 640
Note: Since Limiting factor is Sales Units, Hence the prodcut with highest contribution per unit should
Product Mix 2 Product Mix 3 Product Mix 4
B Units Total A Units B Units Total A Units B Units Total
ales Units, Hence the prodcut with highest contribution per unit should be sold most.
Product Mix 4
B Units Total
150 12000
8000
4000
The following information in respect of Product ‘A’ and Product ‘B’ of JMR Ltd. is available.
is Sales Revenue, Hence the prodcut with highest p/v ratio should be sold most.
A manufacturer makes two products Luxury & Deluxe. The results for
2004 were as follows:
b) By using the vacant factory space sales of luxury can be increased
by Rs. 100,000, the extra production would lead to increase in the total
fixed cost to Rs. 76,000.
Statement of Marginal Cost at Present Capacity Levels
Rupees
Particulars
Luxury Deluxe Total
Sales (a) 200,000 160,000 360,000
Less: Variable Costs (b) 120,000 132,000 252,000
Contribution (a-b) 80000 28000 108000
Less: Fixed Costs (c) 40,000 32,000 72,000
Operating Profit (a-b-c) 40,000 -4,000 36,000
(a) Statement of Marginal Cost when Drop of Deluxe has no Impact on Luxury
Rupees
Particulars
Luxury Deluxe Total
Sales (a) 200,000 0 200,000
Less: Variable Costs (b) 120,000 0 120,000
Contribution (a-b) 80000 0 80000
Less: Fixed Costs (c) 40,000 24,000 64,000
Operating Profit (a-b-c) 40,000 -24,000 16,000
We should not drop Deluxe because our operating profit is going down from 36000
INR to 16000 INR.
(b) Statement of Marginal Cost when Drop of Deluxe Impact on Luxury
Rupees
Particulars
Luxury Deluxe Total
Sales (a) 300,000 0 300,000
Less: Variable Costs (b) 180,000 0 180,000
Contribution (a-b) 120000 0 120000
Less: Fixed Costs (c) 40,000 36,000 76,000
Operating Profit (a-b-c) 80,000 -36,000 44,000
We should drop Deluxe because our operating profit is going up from 36000 INR to
44000 INR.