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Each person in a group of 110 investors has investments
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Updated on: 29 Apr 2018, 14:09
Updated on: 29 Apr 2018, 14:09
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Question Stats:
70% (02:46) correct
30% (03:12) wrong based on 10 sessions
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Each person in a group of 110 investors has investments in either equities or securities or both. Exactly 25% of the investors in equities have investments in securities, and exactly 40% of the investors in securities have investments in equities. How many have investments in equities?
A) 65
B) 80
C) 120
D) 135
E) 150
A) 65
B) 80
C) 120
D) 135
E) 150
Re: Each person in a group of 110 investors has investments
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29 Apr 2018, 14:21
29 Apr 2018, 14:21
2
Expert Reply
Of 110 people, we can split them into S +E. Now, of people in equities, 25% have E+S which means 75% have only equities. Of people in securities 40% have S+E, which means 60% have only securities.
Of all this, the question asks for those who have only Equities. So, 75% of 110. The result is 82.5 which is close to answer B.
But the question is not good, it should give us whole numbers.
Hope this helps.
Regards
Of all this, the question asks for those who have only Equities. So, 75% of 110. The result is 82.5 which is close to answer B.
But the question is not good, it should give us whole numbers.
Hope this helps.
Regards
Re: Each person in a group of 110 investors has investments
[#permalink]
30 Apr 2018, 00:38
30 Apr 2018, 00:38
1
Carcass wrote:
Of 110 people, we can split them into S +E. Now, of people in equities, 25% have E+S which means 75% have only equities. Of people in securities 40% have S+E, which means 60% have only securities.
Of all this, the question asks for those who have only Equities. So, 75% of 110. The result is 82.5 which is close to answer B.
But the question is not good, it should give us whole numbers.
Hope this helps.
Regards
Of all this, the question asks for those who have only Equities. So, 75% of 110. The result is 82.5 which is close to answer B.
But the question is not good, it should give us whole numbers.
Hope this helps.
Regards
But doesn’t the question says 25% of e only and 40% of s only.which leads to 0.25e=0.4s as it’s the common area and e+s-(0.25e or 0.4s)=110
