Question

hostel mess has provisions for 200 students for 30 days. if 100 new students join the hostel , how long will the provision last

Answer 1

Hi Vikash ,

In this question,
Note:
- Amount of provision = no. of students * no. of days = constant
- The value of provisions remain same in both cases and hence can be equated

Let number of days provisions lasted after 100 students joined = x

200*30 = (200+100)*x
6000 = 300x
x = 6000/300
x = 20 days

The additional 100 students will make the provisions last for 20 days.

Hope it helped.
Let me know if any doubts.
Cheers !!!

Answer 2

no. of days provision lasts for 200 students=30
no. of days provision lasts for 1 student=200×30
no. of days provision lasts for 300 (200 +100) student=( 200×30)÷300=20 days