Basic Formulas:
Formulas for Cost Volumn Profit Analysis
Sales = Sales unit × umit price
Variable cost = sales unit × VCPU
Contribution Margin = sales – variable cost
Contribution Margin = Fixed cost + Net profit
Net Profit ( before tax) = Sales – Variable cost – fixed cost
= Sales – Total cost
Net profit before tax = Contribution Margin – Fixed Cost
Fixed cost = Contribution Margin – Net profit
1) Profit Volumn Ration / Contribution Margin Ratio
Net Profit ( before tax) = Sales – Variable cost – fixed cost
= Sales – Total cost
Net profit before tax = Contribution Margin – Fixed Cost
Fixed cost = Contribution Margin – Net profit
1) Profit Volumn Ration / Contribution Margin Ratio
It is the proportion of contribution margin on sales:
i) P/V ratio/ CM ratio = Total CM/ Total sales
ii) = SPPU –VCPU/ SPPU ( IF SPPU AND VCPU IS GIVEN)
iii) = Difference in profit / Difference in Sales ( if two years data are given)
iv) = 1- CV ratio ( where CV = variable cost ratio)
2) CV/VC Ratio( Variable cost ratio:
It is proportion of variable cost on sales.
i) VC Ratio = Total Variable Cost / Total Sales ( if total is given )
ii) = VCPU/SPPU ( if per unit is given)
iii) 1- PV ratio
PV ratio + VC ratio = 1
iv) = Difference in cost / Difference in Sales Rs
v) Contribution Margin Per Unit:
CMPU= SPPU- VCPU
CMPU= Total contribution Margin/ Total sales umit
CMPU= Differene in profit/ Difference in sales unit
3) Required Sales unit Rs. To each the ( desire)
Sales – VC – FC = Profit
S.U ( SPPU- VCPU) = FC + PROFIT
MAIN FORMULA:
Sales Unit = FC + Profit / SPPU- VCPU
S.U = F.C + desire Profit/ CMPU
Sales Rs. = FC + desire Profit / PV ratio
4) Break Even Point ( BEP)
Sales unit ( BEP umit) = FC/ SPPU- VCPU
Required sales unit or RS. To earn profit after tax:
BEP Sales unit = FC +Profit after tax/1-tax rate
CMPU
Sales Rs = FC +Profit after tax/1-tax rate
PV Ratio
5) BEP ratio = BEP Rs./ Sales Rs.
6_) BEP ratio + MOS ratio = 1 ( where MOS = Margin of seftey.)
7) PV ratio = Profit/ MOS Rs
8) CMPU = Profit / MOS unit
9) MOS unit = Sales unit – BEP units
10) MOS RS. = Sales Rs. – BEP Rs.
11) BEP ratio = BEP Rs/ Sales Rs
12) MOS ratio = MOS Rs/ Sales Rs
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