Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 15)
15.
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Rs. 400
Rs. 500
Rs. 600
Rs. 800
Answer: Option
Explanation:

Let the sum be Rs. P.

Then, P 1 + 10 2 - P = 525
100

P 11 2 - 1 = 525
10

P = 525 x 100 = 2500.
21

Sum = Rs . 2500.

So, S.I. = Rs. 2500 x 5 x 4 = Rs. 500
100

Discussion:
37 comments Page 3 of 4.

Sujan said:   8 years ago
Thank you @P Kumar.

Akansha said:   8 years ago
21% = 525 then 20% = 525/21*20 = 500 ans.

Pratiksha said:   8 years ago
Can anybody tell me when to use this formula?

P*(1+R/100)^-P.
and when to use,
P*(1+R/100)^.

Please, explain it.

Alexander said:   8 years ago
@Pratiksha,
The general formula for calculating compound interest is,
P*(1+R/100)^n, but remember to subtract off the principal after in order to get the interest,

For instance, CI =Amount - Principal.

But, in case you wish to do it at once your apply P*(1+R/100)^n - P by using this formula you automatically get the interest compounded, you may not need to subtract off the principal again like in the first case.

Rohan said:   7 years ago
A farmer takes a loan of Rs:45000 at 15% per annum to instal a pump in his field. He pays back 15000 to the bank along with the interest due at the end of the first year. At the end of second year he pays back the balance to the bank. How much does the farmer pay the bank at the end of second year?

Can anyone solve this?
(2)

Anil said:   7 years ago
The amount at the end 1st year, A=45000(1+ 15/100)
= Rs 51750.

The farmer paid Rs 15000, so amount left ,A = 51750 -15000
= Rs 36750.

The amount at the end of 2nd year, A= 36750(1+ 15/100)
=Rs 42262.5.

The farmer has to Rs 42262.5 at the end of the second year.

Tony said:   7 years ago
It should be 121 instead of 21 cuz 11^2=121,
525=p(1+10/100)^2,
525=p(110/100)^2.

Vinayak said:   7 years ago
How get 21 in the denominator? I am not getting. Please explain me.
(1)

Babai said:   7 years ago
1+ 10/100 = 11?
(1)

Mujahid Aziz said:   7 years ago
Given that ;

p*21/100=525,
so P= 525*100/21,
p=2500.

Now S.I= PTR/100.
where time is doubled So T=4 and Rate is halved So R=5.
Now S.I= 2500*4*5/100.
S.I =500.
(1)


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