Discussion
There are 100 students in a hostel. Food provision for them is for 20 days. How long will these provisions last, if 25 more students join the group ?
Answer: B
The provisions will last 16 days.
The total food is fixed, so the number of students times the number of days is constant:
\[ \begin{aligned} 100 \times 20 &= 125 \times d \\ d &= \frac{2000}{125} = 16 \end{aligned} \]
More students means fewer days, in inverse proportion. Subtracting 25% of 20 days gives 15, which is not offered; 18, 14 and 12 do not keep the product at 2000 student-days.
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