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.

Varun said:   9 years ago
Just using a formula of the amount when the interest is compound half yearly, ie time =2n here n = 3/2 then,

2n = 3/2 * 2= 3.

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

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

Ronak soni said:   9 years ago
(1+2/100)^3 in this, why this cube is taken in half yearly?

SAIKUMAR said:   9 years ago
Compounded yearly:
P = 5000,
R = 4% -----> 200,
So, 5000 + 200 = 5200,
R = 2% -----> 104,
Then total = 5200 + 104 = 5304.

Compounded half-yearly:
P = 5000,
R = 2% -----> 100,
Then, 5000 + 100 = 5100,
R = 2% -----> 102,
Then, 5100 + 102 = 5202,
R = 2% -----> 104.04,
Total = 5202 + 104.04 = 5306.04.

And finally, 5304 - 5306.04 = 2.04.
(2)

Deepak said:   9 years ago
How to decide 4% rate?

ASHRAF said:   9 years ago
@Saikumar.

Why 2% taken?

Mahalakshmi said:   9 years ago
What is compound interest formula?

First describe it for me.

NEERAJ said:   9 years ago
Yes @Stephen.

I too think the option (b) is the answer.

Rajjan khan said:   9 years ago
Best way.

Reffective for yearly = 6.08%,
Reffective for half yearly = 6.1208,
Difference = .0408%,

5000 *.0408/100 = 2.04.

Rajjan khan said:   9 years ago
Best way.

Reffective for yearly = 6.08%,
Reffective for half yearly = 6.1208,
Difference = .0408%,

5000 *.0408/100 = 2.04.


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