the hotel bill for a number of people for overnight stay is rs 4800. if there were 4 more people, the bill each person had to pay would have reduced by rs 200. find the number of people staying overnight.
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total bill is = 4800
let us assume there r "x" no of people..
then each person should pay=4800/x
if there are 4 more people then each should pay=4800/(x+4)
Given that if there are 4 more people then 200 rs reduced for each person
Hence (4800/x)-(4800/(x+4))=200
BY solving we will get x^2+4x-96=0.
by solving above equation we will get x=8,x=-12,neglect negative value..
finally we will get x=8
Total number of people = 8
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