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# An investment of d dollars at K percent simple annual

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Manager
Joined: 07 Jun 2007
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An investment of d dollars at K percent simple annual [#permalink]  07 Aug 2007, 21:17
An investment of d dollars at K percent simple annual interest yields $600 interest over a two year period. In terms of d, what dollar amt invested at the same rate will yield$ 2400 interest over a 3 year period.

A) 2d/3 B) 3d/4 C) 4d/3 D) 3d/2 E) 8d/3

pls explain y oa is E.
GMAT Club Legend
Joined: 07 Jul 2004
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Location: Singapore
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I = principal * rate * time
600 = d * k/100 * 2
300/d = k/100

2400 = principal * k/100 * 3
800 = principal * 300/d
principal = 8d/3

GMAT seldoms tests interest calculation. But it doesn't hurt to know the simple interest and compound interest formula.
Director
Joined: 12 Jul 2007
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another way to do it would be:

interest on D = $300/year (600/2 = 300) you want$2,400 over 3 years
2400/3 = 800/year in interest

800/300 = 8/3D or answer E
Manager
Joined: 14 Mar 2007
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in this case it is easier to plug in

make d=6000 k=5% and u'll have 600 for 2 years

so if you make d=16000 u got 2400 for 3 years

thus,

16000/6000 = 8/3d
Director
Joined: 12 Jul 2007
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that still seems longer than looking at it like this:

you make $300/year at this level. You need to make$800/year at this new level. What do you multiply D by to get from 3 to 8? 8/3!
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