Question

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?

• A. 8
• B. 16
• C. 24
• D. 32
• E. None

Answer 1

The correct option is B $\left(16\right)$

Given: For $100$ students, food provision is $20$ days.
$25$ more students join the group, total number of students $=100+25=125$
Now, we shall find how long the food last for $125$ students.
Let $y$ be the required number of days for $125$ students.
As we increase the number of students, the number of days food will last decrease.
So, its inverse proportion:
$100\times 20=125\times y$
$\Rightarrow y=\frac{100\times 20}{125}$
$=4\times 4$
$\therefore y=16$