gmat prep QUESTIONS

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gmat prep QUESTIONS

by gmatapril » Tue Apr 05, 2011 2:32 pm
Jim invested $1000 @ 10% compounded annually. Laura invested $2000 @ 5% compounded annually. Total interest of Jim is how much more than total interest of Laura after 2 years?
a. 5
b. 15
c. 50
d. 100
e. 105
Source: — Problem Solving |

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by vineeshp » Tue Apr 05, 2011 6:20 pm
A 5.

Interest of JIM : 1000 * (1.1)^2 - 1000 = 210
Interest of Laura : 2000 * (1.05)^2 - 2000 = 205

Difference is 5.
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Just telling you what I know and think. I am not the expert. :)

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by Geva@EconomistGMAT » Tue Apr 05, 2011 11:53 pm
10% blocks of hundreds, thousands, etc. are easy to calculate - just remove one zero from the end.

10% of $1000 equals $100. So after one year, Jim's account has $1100.
10% of $1100 equals $110. So after the second year, Jim's account has $1100+110 = 1210.

5% blocks are equally easy to calculate: they're half of a 10% block.

5% of $2000 is half of $200, or $100. So after one year, Laura's account has the same $2100.
5% of $2100 is half of $210, or $105. During this second year, Jim's account makes $110, so the difference between the accounts is 110-105 = $5. Answer is A.
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by force5 » Wed Apr 06, 2011 12:10 am
yes A

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by gmatapril » Wed Apr 06, 2011 7:07 am
thank you.