Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 10)
10.
The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:
6.06%
6.07%
6.08%
6.09%
Answer: Option
Explanation:

Amount of Rs. 100 for 1 year
when compounded half-yearly
= Rs. 100 x 1 + 3 2 = Rs. 106.09
100

Effective rate = (106.09 - 100)% = 6.09%

Discussion:
43 comments Page 3 of 5.

Syamu said:   6 years ago
The given interest is 6%.

According to formulae of compound interest for half-yearly [p (1 + (R/2) /100) ^2].

Ayush said:   9 years ago
One yearly compound interest is 100 * (1 + 6/100)^1 = 106.

Then, half yeraly CI = 106.09 how is it possible?

Narsimha said:   7 years ago
R=6% for normal 1 year,
R=3% for half yearly,
Effective percentage formula=R+R+(R*R)÷100,
ANS is 6.09.
(1)

Shyamlata said:   1 decade ago
@Chandrashekhar Ji, How could u solve the Effective rate?

= 106.09-106 = 6.09%.

Please explain it.

Abhishek said:   1 decade ago
For calculating the amount half yearly how can you take n=1. It should be n=1/2 year.
(1)

Jasika said:   1 decade ago
Yeah. How we can find rate by subtracting principal from amount in the form of %?

Sandy said:   9 years ago
See the question it is given as half yearly so we should taken as n = 2.

Hrishi said:   9 years ago
Still not understand why n=2 is taken? Someone, please explain briefly.

Linka said:   8 years ago
How n=1? for half year n=1/2 means 2n=2*1/2 it gives 1 right?
(1)

Sunil said:   8 years ago
@Durga.

There is no 106.09-106.

There's 106.09-100=6.09.


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