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.

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)

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)

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)

Ravi Sharma said:   7 years ago
Solve this problem using this direct formula of (diff. b/w S.I & C.I).

15000*(5/100)*(5/100) = 3 Ans.

Nitish reddy said:   8 years ago
Here we are taking for only single half year so, n=1 then 2n=2*1=2.

Shruti said:   8 years ago
Why we have raised the power to 2 in calculating CI?

Sanchali said:   8 years ago
Your answer is not clear to me, can you please explain briefly? @Nitish Reddy.

Hrishi said:   9 years ago
Hi friends this might be help you.

In both the cases we should take time 1 year means t = 1 for S.I. and n = 1 for C.I.

But half-yearly data is only given for C.I so, the formula changed for C.I .as per compounded half-yearly.

Revathi jiii said:   9 years ago
For one year there both SI and CI remains same. Then how come its possible?

Praveen chauhan said:   9 years ago
Just used this formula:

Diffrence = (P * R * R/100 * 100).

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

Earlier - T = 1, R = 10%.
Now T = 2, R = 5%.
(1200 * 5 * 5/100 * 100) = Rs 3.00.

I hope you will understand better!

Thanks.


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