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Numerical Ability
Percentage
A survey of n people in the town of badaville found that 50% of them prefer brand A.anaother survey of a100 people in the town of chottaville found that 60% prefer brand A.In total 55% of all the people surveyed together prefer Brand A.What is the total number of people surveyed?
Read Solution (Total 16)
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- .5*n+.6*100=.55*(n+100)
n=100
total people surveyed=n+100
=100+100
=200 - 11 years agoHelpfull: Yes(51) No(1)
- assume no.of people in badaville be x.... so its 50/100 of x---->prefer brand A
and no.of people in chota ville is 100 (as its given) ...so 60/100 of 100--->60 prefer brand A
now it is 50x/100+60=55(x+100)/100...on solving its 200 - 11 years agoHelpfull: Yes(12) No(0)
- (50%*n)+(60%*100)=55%(n+100)
0.5n+60=0.55n+55
0.55n-0.5n=60-55
0.05n=5
n=5/0.05=100
n=100
total no. of people surveyed=n+100
=100+100
=200 - 9 years agoHelpfull: Yes(9) No(0)
- consider n as 100 then u'i get no of people prefer Brand A as 110 and 90
from dis 110 is 55% of whole..
200 ans.. - 11 years agoHelpfull: Yes(4) No(0)
- by using the cross rule,ratio of 1st survay to 2nd survay comes out to be =(60-55):(55-50)=1:1.
so as 100 people are considered in second survey,value of n=100 - 11 years agoHelpfull: Yes(2) No(1)
- 200 ..........................................
- 11 years agoHelpfull: Yes(1) No(2)
- 1st town=n/2 prefer brand A
2nd town=100*60/100=60 prefer brand A
total,
(n+100)*55/100=n/2+60
=>.55n+55=.5n+60
=>.05n=5
=>n=100
total=n+100=100+100
=200 number of people surveyed - 11 years agoHelpfull: Yes(1) No(1)
- n*50/100+60=55/100(n+100)
ans=200 - 9 years agoHelpfull: Yes(1) No(0)
- this question can be solved by using alligation method :--
50 60
55
5 5
this means people in both the town is in the ratio of 1:1
therefore, 100+100=200 - 9 years agoHelpfull: Yes(1) No(0)
- Ans is 1090
- 7 years agoHelpfull: Yes(1) No(0)
- i think it might be 200 people
- 11 years agoHelpfull: Yes(0) No(0)
- 100 people......
- 11 years agoHelpfull: Yes(0) No(3)
- Solution Total
200 people surveyed - 9 years agoHelpfull: Yes(0) No(0)
- 200 people survyed
- 8 years agoHelpfull: Yes(0) No(0)
- 50%(n)+60%(100)=55%(n+100)
By solving it we get n=200 - 8 years agoHelpfull: Yes(0) No(0)
- 50% (n) + 60% (100 ) = 55% (n + 100)
Solving we get n = 100 - 6 years agoHelpfull: Yes(0) No(0)
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