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# A portion of $6600 is invested at a 5% annual return, while  Question banks Downloads My Bookmarks Reviews Important topics Author Message Senior Manager Joined: 23 Aug 2003 Posts: 461 Location: In the middle of nowhere Followers: 1 Kudos [?]: 14 [0], given: 0 A portion of$6600 is invested at a 5% annual return, while [#permalink]  12 Feb 2004, 10:08
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A portion of $6600 is invested at a 5% annual return, while the remainder is invested at a 3% annual return. If the annual income from the portion earning a 5% return is twice that of the other portion, what is the total income from the two investments after one year? (A)$180
(B) $270 (C)$300
(D) $320 (E)$360

(I do not have the official answer)

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4308
Followers: 31

Kudos [?]: 291 [0], given: 0

B) 270
Let X be the portion invested at 5%
Let (6600 - X) the portion invested at 3%
.05X / .03 * [6600 - X] = 2/1
.05X = .06 * [6600-X]
.05X = 396 - .06X
.11X = 396
X = 3600$6600 - X = 3000$
3600 * .05 + 3000 * .03 = 180 + 90 = 270
_________________

Best Regards,

Paul

Senior Manager
Joined: 23 Aug 2003
Posts: 461
Location: In the middle of nowhere
Followers: 1

Kudos [?]: 14 [0], given: 0

Excellent ..thanks for the explanation Paul...

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

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