Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 4)
4.
What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Rs. 2.04
Rs. 3.06
Rs. 4.80
Rs. 8.30
Answer: Option
Explanation:

C.I. when interest
compounded yearly    
= Rs. 5000 x 1 + 4 x 1 + x 4
100 100
= Rs. 5000 x 26 x 51
25 50
= Rs. 5304.

C.I. when interest is
compounded half-yearly
= Rs. 5000 x 1 + 2 3
100
= Rs. 5000 x 51 x 51 x 51
50 50 50
= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs. 2.04

Discussion:
85 comments Page 5 of 9.

Akshay said:   1 decade ago
Why is is 1+[(1/2)*4/100] when it should be 1+(4/100)^1/2 when the interest is compounded annually.

Lalit Rawat said:   9 years ago
When interest is compounded half yearly and time is in fraction.

A = P(1 + r/2 * 100)^2n.

Mona said:   3 years ago
Can someone please explain the calculation of C.I for yearly basis? I am not getting this.

Shivanath said:   1 decade ago
What is the compound interest formula for full year. Tell the general nth year formula?

INDHU said:   8 years ago
If calculated for half year we should take rate/200 right?

Then why rate/100 is taken?
(1)

Shakti said:   1 decade ago
When interest is compounded annually~ Yearly,

Amount(A) = p[1+(r/100)]^t.

CI = P-A.x

Sneh said:   1 decade ago
How we can compound half yearly means I did not understand how 3 can come means n=3 ?

Afsha said:   1 decade ago
Finding it tuff to understand can anyone please make it easy for me from first step.

K. Anzi said:   3 years ago
Can we take time (n) in fraction as 3/2 in the yearly formula?

Please explain me.
(3)

Binnu said:   1 decade ago
According to the question no. of years=1 1/2 so it is equal to 3/2 just(2*1+1)/2


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