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Question

Cost of production of each unit of electricity is 3 less than twice the total number of units produced. If the total cost of production is ₹ 20, find the number of units of electricity produced.



A

2.5

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B

4

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C

3

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D

5

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Solution

The correct option is B

4


Let the number of units of electricity produced be x.

Then, cost of production of each unit = ₹ (2x3)

Total cost of production = ₹ x(2x3)

x(2x3)=20

2x23x20=0

2x28x+5x20=0

2x(x4)+5(x4)=0

(2x+5)(x4)=0

x = -2.5 or x = 4 

As number of units cannot be negative,

Number of electricity units produced = 4


Mathematics

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