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Question

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation of find x.

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Solution

As per question, the number of toys produced on that day be x.

∴ The cost of production (in rupees) of each toy on that day = 55–x

So, the total cost of production (in rupees) that day = x×(55−x)

∴ x(55−x)=750

55xx2=750

x2+55x750=0

x255x+750=0

∴ The number of toys produced that day satisfies the quadratic equation.

x255x+750=0 which is the required representation of the problem mathematically.



x squared space minus space 30 x space minus 25 x space plus space 750 space equals space 0 left parenthesis x minus 30 right parenthesis left parenthesis x minus 25 right parenthesis space equals space 0 x space equals space 30 space o r space x space equals space 25


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