Q. 3 C

Represent the following situations mathematically:

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 toys produced in a day. On a particular day, the total cost of production was Rs. 750. We would like to find out the number of toys produced on that day.

Answer :

Let ‘x’ be the number of toys produced on that day.

Cost of production of each toy that day= Rs. 55 − x.


[ The cost of production of each toy (in rupees) is 55 minus the number of toys produced in a day]


Cost of production of x toys = Rs. x (55 − x)


[∵ On a particular day, the total cost of production was Rs. 750.]


x (55 − x) = 750


x2 − 55x + 750 = 0


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