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 2 of 4.

Varalaksmi said:   1 decade ago
Hai I think this way may be correct for finding the value of p.

p = (121/100-1).
p = (121-100/100).
p = (21/100).

p = (21/100) = Rs.525.
So, p = (525*100)/21.

p = Rs.2500.

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)

Sanjeev Sharma said:   9 years ago
We can always take base as 100.
On 100 CI for 2 yrs @10% = 21,
Now since CI is 525, therefore, P = 100 ÷ 21 * 525 = 2500,
Now SI = 2500 * 10 * 2 ÷ 100 = 500.

Tanisha said:   5 years ago
@Babai.

When you divide 10/100 it will give you 1/10 then when you will add it with one it will give you 11/10. Actually it comes in the mixed fraction.

Lokesh said:   1 year ago
Hello guys.

The simplest way is;
Here the sum will be the same.
C. I for 2yrs@10%p.a is;
21% = 525.
For S.I 4yrs @5 % p.a is;
20% = 500.
(2)

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.

Sikun said:   1 decade ago
CI=Amount-Principle.

And we know the CI, but don't know Principle. So to find P we are subtracting P.

Tanisha said:   5 years ago
@Nisha.

Actually they take the common factor so when we take p common there it is replaced by 1.
(2)

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.

Mounika said:   9 years ago
Is there any shortcut way to solve this problem? If yes means please share.


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