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# M16-21

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Math Expert
Joined: 02 Sep 2009
Posts: 46283

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16 Sep 2014, 00:59
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Difficulty:

15% (low)

Question Stats:

75% (00:33) correct 25% (00:24) wrong based on 61 sessions

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If in a $180 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks? A.$60 mln
B. $80 mln C.$100 mln
D. $120 mln E.$150 mln

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Math Expert
Joined: 02 Sep 2009
Posts: 46283

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16 Sep 2014, 00:59
Official Solution:

If in a $180 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks? A.$60 mln
B. $80 mln C.$100 mln
D. $120 mln E.$150 mln

Let $$x$$ denote the amount invested in all the other stocks. Then the amount invested in stock A is $$2x$$. As we have the \$180 mln portfolio, $$x + 2x = 3x = 180$$ mln from where $$x = 60$$ mln.

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Joined: 24 Nov 2013
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14 Aug 2015, 21:22
we can also solve by plugging number.
since other stocks is 80 million, investment in A will be 80*2 = 160...
160 (A) + 80 (other) > 180....hence we need a lower 'other investment'.

Hence option A is correct
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Joined: 26 Nov 2012
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02 Sep 2017, 13:32
Hi Bunuel,

When it is mentioned that twice A as much as B then it has to be A = 2B. If we consider x as the investment then it has be x+2x = 180. Other stocks value should be 120. Can you let me the relation.
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Joined: 14 Nov 2016
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03 Sep 2017, 01:36
msk0657 wrote:
Hi Bunuel,

When it is mentioned that twice A as much as B then it has to be A = 2B. If we consider x as the investment then it has be x+2x = 180. Other stocks value should be 120. Can you let me the relation.

Hi msk0657,

Twice as much as A = other stocks

Let B = other stocks
2A = B

Total = 3 portion

180 / 3 = 60 = B = other stocks
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Re: M16-21   [#permalink] 03 Sep 2017, 01:36
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# M16-21

Moderators: chetan2u, Bunuel

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