Question

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, the quadratic equation frormed to find x is $x^2$ - 55x + 750 = 0.

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow$ Let the number of toys produced on that day be $x$

$\Rightarrow$ 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

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

$\Rightarrow$ So that total cost of production that day $=Rs.x(55–x)$

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

$\therefore$ $x(55-x)=750$

$\Rightarrow$ $55x–x^2=750$

$\Rightarrow$ $x^2-55x+750=0$

$\therefore$ We can see, equation given in question is correct.