Question

In a hostel, there were enough provisions
for 200 persons for 45 days. 5 days later,
40 persons left the hostel. How many days
will the remaining food last?​

Answer 1

Question:

In a hostel, there were enough provisions for 200 persons for 45 days .5 days later , 40 persons left the hostel. How many days will the remaining food last?

Answer:

50 days

Explanation:

Given:

A Hostel has food Provisions for 200 persons for 45 days.

Therefore For one person it will last for 200 * 45 days

Food eaten by 200 persons after 5 days

⇒ $200*45-200*5$

We will take 200 as common from both the digit

⇒$200(45-5)$

⇒$200(40)$

⇒$200*40$

⇒$8000$

Now there are  $200-40$ that is 160 Person's

Therefore the remaining food will last for

Remaining Food/Total Persons Left

⇒$8000/40$

⇒$50$

Hence the food remaining last for 50 days.