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Aptitude - Compound Interest - Discussion

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"I never see what has been done; I only see what remains to be done."
- Marie Curie
5. 

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

[A]. 2[B].
2 1
2
[C]. 3[D]. 4

Answer: Option D

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000 1 + 7 n = 34347
100

107 n = 34347 = 11449 = 107 2
100 30000 10000 100

n = 2 years.


Chaitu said: (Tue, Nov 23, 2010 01:27:40 AM)    
 
30000(107/100)=32100
(32100*7)/100=147 is for 1 year
2100+2100+147=4347

2 years

Lalitha said: (Fri, Mar 25, 2011 01:25:55 AM)    
 
Can any one please help how it has come (107/100)^2

Dittya said: (Tue, Apr 5, 2011 07:28:11 AM)    
 
Yaa, its because (107)^2 = 11449 and (100)^2 = 10000.

Prabakaran said: (Tue, Jul 19, 2011 05:29:32 PM)    
 
What is 107/100 ?

Anusha said: (Sun, Oct 16, 2011 04:44:52 PM)    
 
Amount=30000+4347 = 34347
amount=p(1+R/100)^n
34347=30000(1+7/100)^n
34347=30000(107/100)^n
34347/30000=(107/100)^n
11429/10000=(107/100)^n.
hence
(107/100)^2=11429/10000.

Mercy said: (Fri, Jan 20, 2012 01:35:06 PM)    
 
Simpler yet old-fashioned solution to me would be:

30000*7/100=2100 - year 1
30000+2100=32100*7/100=2247 - year 2
now add 2100+2247=4347 which was the compound interest earned after 2years.

Thus the ans is 2 years.

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