Aptitude - Compound Interest - Discussion

Discussion Forum : Compound Interest - General Questions (Q.No. 1)
1.
A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Rs. 120
Rs. 121
Rs. 122
Rs. 123
Answer: Option
Explanation:
Amount
= Rs. 1600 x 1 + 5 2 + 1600 x 1 + 5
2 x 100 2 x 100
= Rs. 1600 x 41 x 41 + 1600 x 41
40 40 40
= Rs. 1600 x 41 41 + 1
40 40
= Rs. 1600 x 41 x 81
40 x 40
= Rs. 3321.

C.I. = Rs. (3321 - 3200) = Rs. 121

Discussion:
220 comments Page 8 of 22.

Expert said:   1 decade ago
1st half 1600. After half half yr @2.5% 40 so total 1640.

2nd half 1640+1600 = 3240 so after 1yr 3321.

Gain 3321-3200 = 121.

Mzcool said:   1 decade ago
What is the difference between simple interest and compound interest?

Ravi said:   1 decade ago
Hey guys what formula use for this? please help me.

Kasinath @Hyd said:   1 decade ago
Since Bank offers compound interest on HALF YEARLY basis: so convert 1 Year into two Half years. so, use only half year formula.

Half Year formula: (1+ R/2*100)^2n.

1 year = Half Year + Half Year.

=>(1+ R/2*100)^2*1 n=1 is bcoz (1/2 +1/2).

Half year = (1+ R/2*100)^1 1 is bcoz (2*1/2) here n=1/2.

Siva nandi reddy said:   1 decade ago
There is no formula to get the answer.

Simple logic is there that,
For 1 year 80/- is the interest then half of that amt is 40/- for half year.

So next half year for Jan amount 40/- and 1/- (it is obtained on first half interest). So total is 81/-.

and for July amt 40 because it is also half year, So the total is 121/-.

Aramide Akintmehin said:   1 decade ago
Please why did you multiply the 100 by 2.

Srikanth said:   1 decade ago
He deposited 1600 for 1/2 year but our question he asks yearly so 1600+1600 = 3200.

Giri said:   1 decade ago
When interest is compound half quarterly.

Amount = p[(1+(r/2)/100]^2n.

So amount = 1600[1+(5/2)/100]^2.

Simplify above equation, we get,

Amount = 1600[1+5/2*100]^2.

Purnika said:   1 decade ago
Why we are supposed to add the compound interest for half year and one year to get the amount and why C.I. = (3321-3200)?

Iovd said:   1 decade ago
@Purnika.

They have calculated CI for 1 year not for 1/2 year see carefully.


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