Q. 34.2( 37 Votes )
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.
Answer :
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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