Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 3)
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?
Rs. 2160
Rs. 3120
Rs. 3972
Rs. 6240
None of these
Answer: Option
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.

Discussion:
94 comments Page 9 of 10.

Dibyajyoti hazarika said:   1 decade ago
I'm confused about 331 no. How it comes?

Yamini said:   1 decade ago
@Subash

There was no confusion in the given answer, here -1 is nothing but as you said Amount = {P x (1 + (R/100)^N)} - P so from this just take common as P then you get

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

Poorvajain said:   1 decade ago
CI=AMT-PRINCIPLE

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

Shalini said:   1 decade ago
I'm totally confused with these problems.

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

Anmol said:   1 decade ago
@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%

Vasanth said:   1 decade ago
Why we should take p value as 100?

Arush said:   1 decade ago
Thanks jeeva & subash.

Karthi said:   1 decade ago
How we get P = Rs.100 and S.I = Rs. 60 ?

Amit said:   1 decade ago
@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 :)

Kusum said:   1 decade ago
Any one tel me how we got R value as 10?


Post your comments here:

Your comments will be displayed after verification.