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

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answer is B.

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Detailed Solution

Let humour of dipole staying overnight = x For x people the bill will be Rs. 4800
Person = Rs 4800
𝑥
Accordingly ,
When 4 person will more , then
4800
= Rs (
𝑥

+4)
Therefore
4800
(
𝑥

4800
) - (
𝑥

+4) = 20
Now , on solving, we get
4800 (x+4) - 4800x = x (x+4)x200= 4800x+19200-4800x=(x2+4x)200
96= x2+4x
X2+4x - 96=0
On solving the equation , we get
x = −𝑏±√( 𝑏2−4𝑎𝑐)
2𝐴
x= −4±√( 42−41𝑥−96)
2𝑥1
x= −4±√400
2
x= − 4+20
2
x= 8 or x = -12
So , The number of people staying x=8

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