a group of friends goes for dinner and gets bill of Rs 2400
. Two of them says that they have forgotten their purse so
remaining make an extra contribution of Rs 100 to pay up
the bill. Tell the no. of person in that group
Answers were Sorted based on User's Feedback
Answer / saravanan.p
Let 'x' be the number of perons in the group and let 'y' be
amount per head which they have to pay.
Then xy = 2400.
or y = 2400/x
Since two friends have forget the purse, x-2 persons should
share the total amount(2400).
If they share, they have to make an extra contribution of
Rs 100 to pay up the bill
That is x-2 persons should pay y+100 each
or (x-2)(y+100) = 2400
or y+100 = 2400/(x-2)
or y = 2400/(x-2) - 100
Therefore we have got two equations namely,
y= 2400/x and y = 2400/(x-2) - 100
Comparing these two, we get
2400/x = 2400/(x-2) - 100
Solving this we get
x^2 - 2x -48 = 0
or (x-8) (x+6) = 0
or x = 8 or x = -6
Since 'x' denote the number of persons, it should be
positive.
So, x = 8.
Is This Answer Correct ? | 308 Yes | 14 No |
Answer / arun
if 'n' is the total no. of persons,
(1). for 2 persons in 'n' ,(n-2) of them have to pay a
total of (n-2)*100 in extra
(2) so for 'n' persons,(n-2) persons have to pay a total of
n(n-2)*100/2 = 2400
ie n(n-2)=48 =>n=8.
Is This Answer Correct ? | 66 Yes | 6 No |
Answer / sai
8 PERSONS
Two forgotten to bring their purse=8-2=6
6*300=1800
6*100=600
Total=1800+600=2400
Is This Answer Correct ? | 51 Yes | 22 No |
Answer / dharani
2400/n
assume n=8
2400/8 =300
2 person miss the purse
then 8-2=6
6 person will pay extra 100rs.
finally each of the 6 person will pay 400
6*400
2400
total amount equal for given payable amount
ANSWER: 8 PERSON
Is This Answer Correct ? | 10 Yes | 1 No |
Answer / sathya naren
Total bill 2400
Two members don't have money
Each member paying extra Rs.100
Because two members don't have purse
So,if each pays Rs.300+Rs.100 Except two of them mean
Total members are (8)
1st-300+100=400
2nd-300+100=400
3rd-300+100=400
4th-300+100=400
5th-300+100=400
6th-300+100=400
7th-Nil
8th-Nil
Total=2400
So,Total Members - 8
Is This Answer Correct ? | 8 Yes | 0 No |
Answer / rajkumar
let the no.of persons=x
then
100(x-2)+(x-2)*2400/x=2400
100x-200x+(2400x-4800)/x=2400
.
.
.
.
==> (x-8)=0 or (x+6)=0
finally either x=8 or -6
therefore the no.of persons = 8
Is This Answer Correct ? | 10 Yes | 7 No |
Answer / nitin r
suppose 8 person goes for dinner and gets bill of 2400
each person gets 300
8*300=2400
two of them forgotten purse
then
8-2=6
6*300=1800
extra contribution 100 of 6 person
6*100=600
1800+600=2400
hence ans is 8 person
Is This Answer Correct ? | 5 Yes | 4 No |
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