Q3 of 168 Page 7

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.

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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