# 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 to find x.

Number of toys produced that day is ‘x’.

Cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day.

Cost of production of each toy = 55 – x

Given, total cost of production = Rs. 750

x × (55 – x) = 750

-x2 + 55x – 750 = 0

x2 – 55x + 750 = 0

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