Latest Book Aptitude Question SOLUTION: The hotel bill for a number of people for a overnight stay is Rs 4800. If there were 4 more, the bill each person had to pay would have reduced by Rs 200. Find the number of people

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The hotel bill for a number of people for a overnight stay is Rs 4800. If there were 4 more, the bill each person had to pay would have reduced by Rs 200. Find the number of people staying overnight.

Asked In Book Harsh Poddar (10 years ago)

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paramesh  (10 years ago)

ANS : 8 people

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..................

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Amisha Agarwal  (10 years ago)

let,there are n no of people
bill to be paid by each people=4800/n;
if there is increment of 4 people then according to question
=>(4800/n)-(4800/n+4)=200
so n=8

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piyushgupta  (10 years ago)

ans is 8 person
(4800/x+4)-4800/x=200;

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