The correct option is A 6 days
Given,
180 students will consume the ration in one week or 7 days.
We know that more is the number of students in the hostel, lesser will be the number of days for which the ration will last.
So, Number of students(x) ∝1Number of days(y)
∴x1x2 = y2y1
Given,
x1 = 180 students
y1 = 7 days
x2 = 180+30=210 students
y2=No. of days the ration will last for 210 students
⇒180210=y27
⇒ y2 = 180 × 7210 = 6 days
So, the number of days for which the ration will last for 210 students = 6 days.