If the excavation of earth is done manually then it costs Rs. 100 per cum. A machine can excavate at a fixed cost of Rs. 40,000 plus a variable cost Rs. 20 per cum. The quantity of the earth for which the cost of excavation by machine will be equal to the cost of excavation by machine will be equal to the cost by manual excavation is
If the excavation of earth is done manually then it costs Rs. 100 per cum. A machine can excavate at a fixed cost of Rs. 40,000 plus a variable cost Rs. 20 per cum. The quantity of the earth for which the cost of excavation by machine will be equal to the cost of excavation by machine will be equal to the cost by manual excavation is Correct Answer 500 cum
Concepts:
Let the total quantity for excavation is x cum
Cost of excavation of earth if done manually = Rs. 100 per cum
The total cost of excavation of ‘A’ cum earth if done manually, Ch = Rs. 100 × A cum
Cost of excavation by Machine, Cm = Fixed cost + variable cost
Cm = 40000 + 20 × A
It is given that cost of excavation by machine will be equal to the cost of manual excavation is
i.e. Ch = Cm
100 × A= 40000 + 20 × A
On solving, we get A = 500 cum
∴ The total quantity for excavation is 500 cum