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Aptitude - Compound Interest - Discussion

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"No one is as deaf as the man who will not listen."
- (Proverb)
3. 

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

[A]. Rs. 2160[B]. Rs. 3120
[C]. Rs. 3972[D]. Rs. 6240
[E]. None of these

Answer: Option A

Explanation:

Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.

R = 100 x 60 = 10% p.a.
100 x 6

Now, P = Rs. 12000. T = 3 years and R = 10% p.a.

C.I.
= Rs. 12000 x 1 + 10 3 - 1
100
= Rs. 12000 x 331
1000
= 3972.


Subash said: (Thu, Jul 22, 2010 02:20:11 AM)    
 
Please explain the use of -1 in C.I calculation. I think here we have to subtract the principle at the back. But u use the value '1' here, I can't understand Wat u r did.

But i got the same answer by using the formula.

C.I = (Amount - Principle)

Where
Amount = {P x (1 + (R/100)^N)} - P
P = 12000.

Therefore, C.I = Rs. (12000*(1+(10/100)^3))-12000 = 3972

Javeed said: (Wed, Jul 28, 2010 06:01:56 AM)    
 
Dude here principle is Rs. 12000, so amount = P(1+r/100)^t

C.I = amount - principle i.e., p((1+r/100)^t )-p

Removing 'p' common factor we get:

p((1+(R/100)^T)-1)

HERE 1200 IS REMOVED AS COMMON FACTOR SINCE IT IS THE VALUE OF P.

Priya said: (Sat, Jul 31, 2010 12:31:47 AM)    
 
Thanks Jeeva. Now I also clear abut this problem.

Anurag said: (Mon, Oct 18, 2010 01:58:05 AM)    
 
Thanks a lot. Now it became very easy.

Kusum said: (Sat, Feb 12, 2011 10:41:53 AM)    
 
Any one tel me how we got R value as 10?

Amit said: (Mon, Apr 18, 2011 05:23:26 AM)    
 
@Kusum

Simple interest formula

SI = PRN / 100

So, SI * 100 = PRN which derives new formula for R as
R = (SI * 100) / PN


Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years.
Put all this into simple interest formula

R = (100 x 60 ) / 100 x 6 = 10% p.a.

Hope you will get it :)

Karthi said: (Wed, Aug 3, 2011 04:52:54 PM)    
 
How we get P = Rs.100 and S.I = Rs. 60 ?

Arush said: (Thu, Sep 15, 2011 10:01:06 PM)    
 
Thanks jeeva & subash.

Vasanth said: (Wed, Oct 5, 2011 03:21:22 PM)    
 
Why we should take p value as 100?

Anmol said: (Fri, Oct 21, 2011 08:31:39 PM)    
 
@Karthi & Vasanth: you can take any value of P instead of 100.
100 is taken just for simplicity of calculation.
Now, as there is 60% rise in principal in 6 years
therefore, Net amount after 6 years, A= P+ 60% of P =1.6P
therefore interest,I= 1.6P-P= .6P
using SI formula, I= PTR/100
so, 0.6P= P*6*R/100
-> 60=6R
-> R=10%

Shalini said: (Mon, Nov 28, 2011 11:25:02 PM)    
 
I'm totally confused with these problems.

When compound interest is done by individual formulas the answer shows wrong.

Poorvajain said: (Mon, Jan 2, 2012 08:42:45 PM)    
 
CI=AMT-PRINCIPLE

So in this question princple is 100 and u hve taken principle 1 why so is it wrong.

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