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 9 of 9.

Sachin said:   1 decade ago
As per formula it should be,

C.I. when interest = 5304-5000 = 304
compounded yearly

C.I. when interest is = 5306.04-5000 = 306.04
compounded half-yearly

Difference = Rs. (306.04 - 304) = Rs. 2.04

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

Manisha said:   1 decade ago
How we got 3/2 for half yearly for one and half year. please assist.

Anjali said:   1 decade ago
Hello,

Since Compound Interest (C.I.) = p[1+{(r/2)/(100)}]^2n for half yearly

Thus,

C.I.= 5000[1+{(4/2)/(100)}]^{2*(3/2)}
=5000[1+{2/100}]^(3)
=5306.04

Ravi said:   2 decades ago
Why do we take 2 r in the half-yearly?


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