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Question

A hostel has ration for 60 days for 500 students. After 12 days 300 more students joins the hostel. How long will the same ration last?

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Solution

r=d×s
the total ration is the product of the days and students.
total ration = 60*500 = 30000
in 12 days, the ration completed = 12*500 = 6000

remaining ration = 30000-6000 = 24000

additional students = 300
now, total students = 500+300 = 800

now, to find the number of days the remaining ration will last, we modify the above formula as

d=r÷s

d = 24000/800 = 30 days
the remaining ration will last 30 days

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