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Q.

A hostel had rations for 60 days for 500 students. After 12 days, 300 more students joined the hostel. How long will the remaining rations last?


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a

30 days

b

31 days

c

32 days

d

33 days 

answer is A.

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Detailed Solution

Concept: First, determine whether the problem involves direct or inverse variation. Continue with the formula for the type of variation.
Consider the number of days as Question Image.
After Question Image days, for 500 students the food would last for Question Image days
So, the number of students increased to 800 then the number of days for the food last is Question Image.
If the number of students increases, then the food would last for fewer days.
Thus, there is an inverse variation among students and number of days.
Question ImageQuestion ImageSo, the food will last for Question Image days.
​Hence, the correct answer is option 1) 30 days.
 
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