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.

Nisha said:   6 years ago
How 1 came in place of P ? Can you guys explain me please.

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.

Raghav said:   9 years ago
It's very simple just look at the question you have a direct relation between amount 525 and 10%.

For 2 years u get 525 at 10% for 1 year it is around 260. So if u invest around 2500 for 1 year at 10% the amount u get as interest is 250 but compound interest is slightly higher than simple interest and remember this is logical.

Now just put sum in simple interest formula
2500 * 4 * 5/100 = 500.

Tanisha said:   5 years ago
@Sandy.

Actually this is the formula for finding amount, amount= principle +interest so when we apply the ci. The formula basically finding the amount so when we minus it with the principle it equals to the interest which is 525.

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.

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.

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.

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.

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

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


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