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# In a stock portfolio of 80 shares, the ratio of shares invested in bon

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Math Expert
Joined: 02 Sep 2009
Posts: 58432
In a stock portfolio of 80 shares, the ratio of shares invested in bon  [#permalink]

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22 Jan 2019, 02:13
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Difficulty:

15% (low)

Question Stats:

84% (01:43) correct 16% (01:54) wrong based on 24 sessions

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In a stock portfolio of 80 shares, the ratio of shares invested in bonds to shares invested in mutual funds is 1:3. If the number of mutual funds remains the same, how many bonds would have to be added for the ratio of bonds to mutual funds to be 5:6?

A 30
B 40
C 50
D 70
E 80

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Re: In a stock portfolio of 80 shares, the ratio of shares invested in bon  [#permalink]

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22 Jan 2019, 02:20
Bunuel wrote:
In a stock portfolio of 80 shares, the ratio of shares invested in bonds to shares invested in mutual funds is 1:3. If the number of mutual funds remains the same, how many bonds would have to be added for the ratio of bonds to mutual funds to be 5:6?

A 30
B 40
C 50
D 70
E 80

Total = 80.

share invested in bonds = 20

Share invested in mutual fund = 60.

Now , mutual fund share is same but share in bond has to be increased to make the ratio 5 to 6.

20 + x / 60 = 5/6

x =30.

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Re: In a stock portfolio of 80 shares, the ratio of shares invested in bon  [#permalink]

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22 Jan 2019, 05:22
Bunuel wrote:
In a stock portfolio of 80 shares, the ratio of shares invested in bonds to shares invested in mutual funds is 1:3. If the number of mutual funds remains the same, how many bonds would have to be added for the ratio of bonds to mutual funds to be 5:6?

A 30
B 40
C 50
D 70
E 80

m+b=80
b/m= 1/3
b+x/m=5/6
m=80-b
4b=80
b=20

120+6x=300
x=30
IMO A
Re: In a stock portfolio of 80 shares, the ratio of shares invested in bon   [#permalink] 22 Jan 2019, 05:22
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