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math question, that you should finish in less than 3 minutes

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Manager
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math question, that you should finish in less than 3 minutes [#permalink] New post 01 Nov 2004, 19:25
hi all, it took me more than 10 minutes...

A survey of N people found that 60 percent preferred brand A. An additional X people were surveyed who all preferred brand A. Seventy percent of all the people surveyed preferred brand A. Find X in terms of N.


a) N/6
b) N/3
c) N/2
d) N
e) 3N
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 [#permalink] New post 01 Nov 2004, 19:37
(60/100)N + X = (70/100)(N+X)

=>6N + 10X = 7N + 7X
=>N = 3X
=>X=N/3.

Hence B.
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 [#permalink] New post 01 Nov 2004, 19:38
My choice is B.I had almost given up when I thought that it could be attempted this way.

Total ppl: N
Percentage who like A: 60/100*N

X ppl who liked A were added to N.

Therefore,total ppl=N+X
Percentage who like A now : 70/100(N+X)


Now,

(60/100*N) + X=70/100(N+X)
Solving this , we get,
X=N/3
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 [#permalink] New post 01 Nov 2004, 20:54
did u guys get to the answer in less than 3 min?

thats the hardest thing...
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 [#permalink] New post 01 Nov 2004, 21:03
I just did it in 2min46sec.
Same method as Venksune. More practice will help you kevinw. You should practice mixture problems as they will help you understand how different proportion mixing affect the overall results
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 [#permalink] New post 01 Nov 2004, 23:26
It took me less than 1.5 minutes - I didnt mention it. Thought that it may demorale you. Since you asked I told you. It happens to me though - I simply freeze sometime and actually would be staring at a question without doing anything about it. When I apply my mind right, I am sure solving it more easily. I am unsure if it was one such aberration to you also. So, dont worry.
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 [#permalink] New post 02 Nov 2004, 20:44
I took around 4 minutes. :(
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 [#permalink] New post 02 Nov 2004, 21:38
Well it took 2 min and 30 sec for me. But yes I need to PracticeMore......
  [#permalink] 02 Nov 2004, 21:38
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math question, that you should finish in less than 3 minutes

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