question archive From the following ?gures calculate BEP- Selling price per tonne Rs

From the following ?gures calculate BEP- Selling price per tonne Rs

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From the following ?gures calculate BEP- Selling price per tonne Rs. 69.50; Variable cost per tonne Rs. 3550 Fixed expenses Rs. 18.02 Lakh If this volume represents 40% capacity, what is the additional pro?t for an added production of 40% capacity, the selling price of which is 10% lower for 20% capacity production and 15% lower than the existing price for other 20% capacity.

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Step-by-step explanation

Existing Break Even Sales 
 

Fixed Cost/Contribution per unit

=Rs.18.02 lakhs/Rs.69.50 - Rs.35.50
=Rs.18.02 lakhs/Rs.34 

=53, 000 ?units

Sales Value   

53000 units*Rs.69.50 

= Rs.36, 83, 500

It is given in the problem that 40% capacity represents 53,000 units
Hence 80% capacity will represent(53000*2 = 106000 units
For additional 20% capacity, selling price falls by 10%
Revised Selling Price  Rs.69.50 -Rs.6.95 = Rs.62.55
Less: Variable Cost Rs.35.50
Contribution Rs.27.05
20% capacity = 53,000 units/2 = 26, 500 units
Profit if sale price is Rs.62.55 

Contribution per unit*Sales units
Rs.27.05*26,500units 

= Rs.7,16,825

Revised Selling Price =  Rs.69.50 - Rs.10.425 = Rs.59.075
Less: Variable Cost =  (Rs.35.50) 
Contribution  Rs.23.575
Profit if sale price is Rs.59.075  Contribution per unit*Sales units
 

Rs.23.575 *26, 500 units

 = Rs.6,24,737

Additional profit by 40% sales 

Rs.7,16,825 + Rs.6,24,737 

= Rs.13,41,562