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.

Stephen hawking said:   1 decade ago
Correct answer is 3.06.

CI 1 = 302.98 (not 304) and CI 2 = 306.04.

Gurpreet said:   1 decade ago
For yearly A = P[(1+R/100)*{1+(R/2)/100).
Then CI =A-P =304.

For half-yearly A = P(1+(R/2)/100)^3.
Then CI =A-P =306.04.

After that difference = CI(half yearly)-CI(yearly) = [(306.04)-304] = 2.04.

Aswathi said:   1 decade ago
Explanation for the amount when compounded yearly is as below:

We learn from our formulas that when interest is compounded, annually but time is in fraction then it should be:

Amount = P*(1+r/100)^1*(1+(1/2*4)/100).

Please check general formula section 5.

Deepthi said:   1 decade ago
What is the actual equation for CI calculated annually?

Deepthi said:   1 decade ago
How can we multiply 1/2 along with 4/100 when compounded annually?


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