Question

small scale industry produces a certain number of item per day the cost of production of each item in rupees was calculated to be 24 - twice the number of article produced in a div on a particular day the total cost of the production was rupees 504 we have to find out of number of item production that day

Answer 1

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 = Rs 750

∴ 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 = 0 or x - 30 = 0

⇒ x = 25 or x = 30

Hence, the number of toys will be either 25 or 30.