Question

There is sufficient sanitizer for a certain number of students in a school for a certain number of days after 25 days 3/8 student left the school thus the sanitizer will last for 12 days more than the expected days. Find the number of days expected initially?
1. 40
2. 45
3. 50
4. 48

Answer 1

Correct Answer - Option 2 : 45

Given:

3/8 student left the school after 25 days

 Formula used:

M1 × D1 = M2 × D2 

Calculation:

Let the number of students initially was = 8

⇒  the number of students remaining after 25 days = 8 - 3/8 of 8 = 5  

⇒ 8 × D = 5 × ( D + 12 ) 

⇒ D = 20 

⇒ The number of expected days initially = 25 + 20 = 45

∴ The number of expected days initially was 45.