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A total of 120 investment advisors work at a particular

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by BTGmoderatorLU » Wed Oct 10, 2018 3:04 pm

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Answers

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B

C

D

E

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Difficulty—

Source: Princeton Review

A total of 120 investment advisors work at a particular financial services firm, 30 in bonds and the rest in equities. Fifty percent of the investment advisors are board-certified. If one-third of the equities advisors are board-certified, how many bonds advisors are not board-certified?

A. 0
B. 10
C. 15
D. 20
E. 30

The OA is A.
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by nonplus2 » Wed Oct 10, 2018 9:27 pm
Let us term Investment advisors as IA, Equity Advisors as EA, Bond Advisors as BA and prefix for Board Certified as C
As per the question,
We have: IA = 120
BA = 30 -- (1)
EA = 120 - 30 = 90

As mentioned, fifty percent of the investment advisors are board-certified.
==> 50% of IA = IAC or
==> IAC = 60
Also, given that one-third of the equities advisors are board-certified
==> (1/3)*EA = EAC
==> EAC = 30
We have to find how many bonds advisors are not board-certified or (BA - BAC)
Since, Certified Investment advisors = Certified equities advisors + Certified bonds advisors
==> IAC = EAC + BAC
==> 60 = 30 + BAC
==> BAC = 30 ---- (2)

From (1) and (2), bonds advisors are not board-certified or (BA - BAC) = 0

Correct Answer is A
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by Scott@TargetTestPrep » Sat Oct 13, 2018 5:31 pm
BTGmoderatorLU wrote:Source: Princeton Review

A total of 120 investment advisors work at a particular financial services firm, 30 in bonds and the rest in equities. Fifty percent of the investment advisors are board-certified. If one-third of the equities advisors are board-certified, how many bonds advisors are not board-certified?

A. 0
B. 10
C. 15
D. 20
E. 30
We see that 120 x 0.5 = 60 of the advisors are board-certified, and 90 advisors are in equities.

Thus, 90 x (1/3) = 30 of the equities advisors are board-certified, so all 30 of the bonds advisors are board-certified, so there are zero bonds advisors who are not board-certified.

Answer: A

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