The total cost of a school picnic consists of two parts: a fixed bus fare of ₹ $200$ and the cost of snacks at the rate of ₹ $30$ per student. Representing the total number of students by $x$ and the total cost by $y$,form a linear equation in two variables. If the number of students going on the picnic is $40$,find the total cost.

(N/A) Let the number of students be $x$ and the total cost be $y$.
The fixed cost for the bus is ₹ $200$.
The cost of snacks per student is ₹ $30$.
Therefore,the total cost $y$ is given by the linear equation: $y = 30x + 200$.
To find the total cost for $40$ students,substitute $x = 40$ into the equation:
$y = 30(40) + 200$
$y = 1200 + 200$
$y = 1400$.
Thus,the total cost for $40$ students is ₹ $1400$.