GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Each person in a group of 110 investors has investments in e
[#permalink]
29 Apr 2019, 01:48
29 Apr 2019, 01:48
Expert Reply
1
Bookmarks
00:00
Question Stats:
66% (02:07) correct
33% (03:02) wrong based on 21 sessions
Hide Show timer Statistics
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 in e
[#permalink]
16 Apr 2020, 14:50
16 Apr 2020, 14:50
Expert Reply
1
Bookmarks
Total = equities + securities - both
Let’s let s = the number of investors in securities and e = the number of investors in equities. We know that:
0.4s = 0.25e = both; thus:
40s = 25e
8s = 5e
8s/5 = e
Substituting, we have:
Total = equities + securities - both
110 = 8s/5 + s - 0.4s
110 = 8s/5 + s - 2s/5
110 = 6s/5 + s
110 = 11s/5
550 = 11s
50 = s
So e = 8(50)/5 = 400/5 = 80.
Answer: B
Let’s let s = the number of investors in securities and e = the number of investors in equities. We know that:
0.4s = 0.25e = both; thus:
40s = 25e
8s = 5e
8s/5 = e
Substituting, we have:
Total = equities + securities - both
110 = 8s/5 + s - 0.4s
110 = 8s/5 + s - 2s/5
110 = 6s/5 + s
110 = 11s/5
550 = 11s
50 = s
So e = 8(50)/5 = 400/5 = 80.
Answer: B
Re: Each person in a group of 110 investors has investments in e
[#permalink]
12 Apr 2022, 05:56
12 Apr 2022, 05:56
1
Two critical points to solve this question:
1) you have to realize that "25% of the investors in equities have investments in securities" is equal to "40% of the investors in securities have investments".
2) 110 investors is "investors in equity + investors in securities - investors who invested in both"
After that, it´s piece of cake.....
1) you have to realize that "25% of the investors in equities have investments in securities" is equal to "40% of the investors in securities have investments".
2) 110 investors is "investors in equity + investors in securities - investors who invested in both"
After that, it´s piece of cake.....
