Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 13)
13.
The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:
Rs. 2.50
Rs. 3
Rs. 3.75
Rs. 4
None of these
Answer: Option
Explanation:

S.I. = Rs 1200 x 10 x 1 = Rs. 120.
100

C.I. = Rs. 1200 x 1 + 5 2 - 1200 = Rs. 123.
100

Difference = Rs. (123 - 120) = Rs. 3.

Discussion:
53 comments Page 2 of 6.

K.BHARGAVI said:   9 years ago
for one year S.I is ptr/100,

S.I = 120.
C.I : FOR HALF YEAR.

a = p(1 + (R/2)/100)^2 = 1200.

We know that,
A = P + C.I.
C.I = A - P,
= 1323 - 1200,
= 123.

Difference = C.I - S.I
= 123 - 120.
Difference = 3.

Salim halari said:   1 decade ago
In simple interest, we charge interest on Principle amount only.
but in compund interest we charge interst on principle as well as interest recieved.
if you take R=5, then u have to take n=2, ans remain same.

Shruthi Mishra said:   1 decade ago
While calculating simple interest why we hav'nt considered half yearly. It has been calculate for yearly but compound interest is calculated for half yearly.

Bharath said:   1 decade ago
Simple Interest (S.I.):

If the interest on a sum borrowed for certain period is reckoned uniformly, then it is called simple interest.

So pnr/100 is used.

Arjun said:   6 years ago
SI = 120

Given P = 1200, half-yearly compounded so rate becomes half and time becomes double.

1200 * 10.25/100 = 123,
CI-SI= 123-120 = 3.
(2)

Deekshit said:   1 decade ago
Given that C.I formula for half-yearly as p[1+ (r/2) /100]^2n.

Then 2n means 2*1/2=1 but you are taken it as power 2 how it's possible?
(1)

ARCHISA DAS said:   5 years ago
5/100 is given in the formula. In the formula, there is p*(1+r/100)^n.
Here the rate is given 5% so it has come 5/100.
Hope this helps.
(1)

Dhairya said:   9 years ago
Just use this formula:

si - ci = (r * r/10000) * p.

Where r = 5 as it is compounded half yearly.

I hope you will understand better!
(1)

Skywalker said:   1 month ago
S.I = 2 (PRT)/100 ,
T = 0.5,
= 120.

A = P(1+ R/2/100)^2
= 1323.
Then C.I = 1323 - 1200,
= 123
And we get, S.I - C.I = 3.

Binnu said:   1 decade ago
Compound interest = p[1+(r/2)/100]^2n for half yearly.

So here they gave r=10% so r/2=5 according to the formulae.


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