Question

A cottage industry produces a certain number of toys in a day. The cost of each toy (in rupees) is one more than twice the number of toys. If the total cost of production is Rs 210, find the number of toys produced and cost of each toy.​

Answer 1

Step-by-step explanation:

Let the number of toys produced on that day be x

⇒  Given that The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day

∴  The cost of production of each toy that day =Rs.(55–x)

⇒  So that total cost of production that day =Rs.x(55–x)

⇒  Given that On a particular day, the total cost of production was Rs.750.

∴  x(55−x)=750

⇒  55x–x ^2  =750

⇒  x ^2 −55x+750=0