Question

In a hostel, there was sufficient food for 200 students for 31 days. After 27 days 120 students left the hostel. For how many extra days will the rest of food last for remaining students:

• A. 8 days
• B. 6 days
• C. 12 days
• D. 10 days

Answer 1

The correct option is B 6 days

There was sufficient food for 200 student for 31 days. After 27 days 120 days student left
So remaining students $=200-120=80$
Remaining days $=31-27=4$ days
Now there is sufficient food for 200 students for days.
$\because$ 1 student can take the food $=200\times 4$ days
$\therefore$ 80 student can take the food $=\frac{200\times 4}{80}=10$ days
Extra days $=10-4=6$ days