Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 11)
11.
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Rs. 1550
Rs. 1650
Rs. 1750
Rs. 2000
Answer: Option
Explanation:

C.I.
= Rs. 4000 x 1 + 10 2 - 4000
100
= Rs. 4000 x 11 x 11 - 4000
10 10
= Rs. 840.

Sum = Rs. 420 x 100 = Rs. 1750.
3 x 8

Discussion:
40 comments Page 4 of 4.

Yoga sandhya said:   1 decade ago
could any one explain it clearly..........

Tamanna said:   1 decade ago
From where this 420 came from?

Chitra padmanaban said:   1 decade ago
In the question mention the half of the C.I We get C.I=840 so in S.I=420.

So,
S.I = pnr/100.

420 = p.3.8/100 simplify it got the answer.

Rukh said:   1 decade ago
I am not getting till now why 4000 subtract there, in rest of the question we don't deduct it.

Virus said:   1 decade ago
@Tamanna.

In question simple interest ll calculate with half of C.I. Find C.I first then so CI = 840 then we get it half so 420. Then u SI formula you'll get it.

Ishu said:   1 decade ago
What is the formula for sum? Can anyone please explain me?

Rakesh said:   1 decade ago
See friends.

P = 4000.
R = 10.
T = 2 years.

So, C.I = P(1+r/100)^n.

C.I = 4000(110/100*110/100).

C.I = 4000(11/10*11/10).

C.I = 40*121.

C.I = 4840.

Then 4840-4840 = 840.

Given that half of the C.I i.e. 420.

= 420 = P*3*8/100 = 1750.

Prashant said:   1 decade ago
Is there any short cut for this question?

Rakesh said:   1 decade ago
If p = 420.

Now 420*3*8/100 = 100.8 after solving I get.

Then how can value is 1750?

Diya sharma said:   9 years ago
Please, any body explain it in a proper way and completely.


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