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Re: If 35% of the investors traded in both category A [#permalink]
Expert Reply
But this is NOT a double matrix problem. I do not understand this fixation with the double matrix way to solve
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Re: If 35% of the investors traded in both category A [#permalink]
Can you please provide more details in your way of thinking? Can't really get your calculations
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Re: If 35% of the investors traded in both category A [#permalink]
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If we consider the % as real numbers we do have 82 in category A and 46 in category B

The question asks to you that 128 (A+B= 82+46) is = to 35 of them that trade in BOTH categories. IF 35 trade in both the rest do not trade at all

x/100 of 128 =35

x=3500/128

x=27.3

I hope now is more clear
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Re: If 35% of the investors traded in both category A [#permalink]
Hi there, I have looked at this question again but I do not agree with having 27% as a correct answer. I think it's 7.5%. Double matrix method yields 7.5%. Can others also post what you think?
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Re: If 35% of the investors traded in both category A [#permalink]
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I also think it's A.
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Re: If 35% of the investors traded in both category A [#permalink]
but it says % of investors "surveyed" who traded in that category, then how can we jump to the conclusion that its additon = 35%. Actual people who traded in A and B is higher right. I mean say 100 people actually traded in A, then only 82% were surveyed.
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Re: If 35% of the investors traded in both category A [#permalink]
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At a closer look I also thing tha answer is A

With the formula

A+B-B+N=156

128+70-55+N=156

N=13

What percent of 156000 is 13000

x/100 156000=13000

x=8

The answer should be A
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Re: If 35% of the investors traded in both category A [#permalink]
I also think the answer here should be A
Total = A + B - (both A and B) + (neither A nor B)
156000 = 82%*156000 + 45.5%*156000 - 35%*156000 + neither
<=> neither = 11700
=> percent of investors traded in neither of these two categories = 11700/156000 = 7.5%
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Re: If 35% of the investors traded in both category A [#permalink]
The answer is A.
82% of the investors traded in A -> 18% of the investors did not trade in A.
45.5% of the investors traded in B and 35% of the investor traded in both A and B -> 10.5% traded in B but not in A.
Therefore, 7.5% traded neither in A nor B (18-10.5).
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Re: If 35% of the investors traded in both category A [#permalink]
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The way I solve it:
Total = A + B - Both + N
100% = 82% +45.5% - 35% + N (neither)
100% - 92.5% = N
N = 7.5%

This saves time b/c you don't have to convert to # investors, imho
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