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heart problem

by mariah » Thu Feb 02, 2012 8:44 am
Of 50 persons, 20% have heart problem, 8% have both heart problem and heavy blood pressure, how many of them have heart problems but don't have heavy blood pressure?

answer seems easy - 6 , but oa given with explanation is [spoiler]100 = 20 -8 + X;
X = 88;
Number of people = .88 * 50 = 40 + 4 = 44
[/spoiler]
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by MakeUrTimeCount » Thu Feb 02, 2012 1:52 pm
1st of all you have put the question in wrong catagory. It should go to PS, not DS.

Anyways,
Use Simple Set formula:
S = A + B - (A and B)

Here Total number of People = S = 50
No of ppl with heart problem = A = 20%S = 10
No of ppl with heavy BP = B
No of ppl with both problems = (A and B) = 8%S = 4

1) Number of ppl with heart problem, but without any heavy BP:
A - (A and B) = 10 - 4 = 6

2) Number of people with heavy BP:
=> 50 = 10 + B - 4
=> B = 44

Hope it helps :)
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by Anurag@Gurome » Thu Feb 02, 2012 8:39 pm
mariah wrote:Of 50 persons, 20% have heart problem, 8% have both heart problem and heavy blood pressure, how many of them have heart problems but don't have heavy blood pressure?

answer seems easy - 6 , but oa given with explanation is [spoiler]100 = 20 -8 + X;
X = 88;
Number of people = .88 * 50 = 40 + 4 = 44
[/spoiler]
People with heart problem = 20% of 50 = 0.20 * 50 = 10
People with both heart problem and heavy blood pressure = 8% of 50 = 0.08 * 50 = 4
The following venn diagram represents this:

Image

Therefore, people with heart problems but don't have heavy blood pressure = 6
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by [email protected] » Sun Feb 19, 2012 3:20 am
The answer has to be a 6. It does not need any further explanation...

it is PS question...
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