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 2 of 4.

Sowjanyanaidu said:   3 years ago
Ci = p(1+r/100)n-1.
4000(1+10/100)2-1,
4000(11/10)2-1,
840.

In question, they given that half of the ci means 420.
P=100*si/r*t.
P=420*100/3*8,
= 70*25,
= 1750.
(2)

Hema said:   6 years ago
Use CI formula to get rs 840 //formula got substituted.
then divide by 2 >>840/2=420 //a said in question.
then 420 = P * 3 * 8/100.
P = 1750.

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.

Deepak said:   1 decade ago
@ishan.

You got the interest 4840 at the 4000rs. So the amount you put it in the business is 4000 and got the 4840. I hope you got it.

DEEPAK said:   6 years ago
According to me;

CI of 4000 at 10% rate for 2 yr is 840.
It will half as per qn SI = 1/2(CI) = 420,
P = 420*100/(3*8) = 1750.

Ajinkya said:   8 years ago
Answer Is wrong.

Let me explain,
CI=40000(1+10/2*100)^2*2 -40000
Because in problem said that compounded half-yearly.

Chandan shaw said:   9 years ago
If the C.I on a certain sum for 3 years at 5% be rs 50.44. What will be S.I?

Please help me in short trick.

Sipun said:   1 decade ago
I donot understand till now why 4000 substact there and after that what is the formula of sum put there.

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.

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?


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