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 6 of 9.

Arslan said:   1 decade ago
As C.I = [1+4/100]^3/2.
= [1+.03]^3/2.
= 5302.980298.

Why?

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

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

CI = P-A.x

Qutub said:   1 decade ago
How "C. I. When interest compounded yearly" is calculated?

Tarun said:   1 decade ago
When interest is compounded annually,

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

When interest is compounded half yearly,

Amount = p[1+(r/2x100)]^2t.

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

Ritesh kasat said:   1 decade ago
p(1+r/100)^n is value of amount and not compound interest.

However if we subtract two amounts, since the principal remains same, we will still get the difference between compound interest only.

Srimoyee said:   1 decade ago
The formula is slightly incorrect. Amount = P(1+R/100)^1 + [1+(1/2*R)/100] then C.I = AMOUNT - SUM.

Same is in the case of half-yearly.

Amount = P(1+R/200)^2*3/2.

THEN CI = AMOUNT - SUM.

Deekshit said:   1 decade ago
But the given question is difference b/w year and and half-yearly not as one and half-yearly so the answer is 2.04.

Mehul said:   1 decade ago
Any shortcut method?

Manikanta said:   1 decade ago
What about the Compound interest per year?

Why do we take [ 1/2 * 4 ] ?


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