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. Find out the number of toys produced on that day.
The correct options are B 25, D 30
Let the number of toys produced be x.
∴ Cost of production of each toy =Rs(55−x)
It is given that, total production of the toys = Rs750
∴x(55−x)=750
⇒x2−55x+750=0
⇒x2−25x−30x+750=0
⇒x(x−25)−30(x−25)=0
⇒(x−25)(x−30)=0
Either, x−25=0orx−30=0
⇒x=25 or x=30
Hence, the number of toys will be either 25 or 30.