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.

Dron said:   8 years ago
How to find p=100?

Manisha said:   8 years ago
Thanks @Sanjay.

Sudarsan said:   8 years ago
Thanks @Neha.

Sanjay said:   9 years ago
60% is equal to 60/100 i.e., S.I means adding the same rate of interest every year, So here we knew that 60% is increased in 6 years, i.e., Every year it is increased by 10%.

Then, caculate net % for 3yrs.
i.e.
Calculte 1st (10%)and 2nd yr(10%).then result with 3rd yr(10%).

i.e 10+10+(10 * 10)/100 = 21.
Next 21+10+(21 * 10)/100 = 33.1%.

So now just calculate 33.1%12000.
i.e 3972.

Sammy said:   9 years ago
Thank you so much for explaining the solution.

Victor said:   9 years ago
Please help me to solve this question.

Formula:

Fp=Pp(1+r) raise to power n.
if Pp=100, r=3%,n = 10.

Satya said:   1 decade ago
@Nivedita.

Don't bother about 'P'. Think logically about r% using given data.

Angad said:   9 years ago
How to find the rate of interest if compound interest and principle and time is already given but the rate is missing? I need the solution.

Renu said:   9 years ago
10% successive of 3 years is 33.1%

33.1% of 12000.
= 3972.

Nivedita said:   1 decade ago
How you have taken P as 100 ?


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