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 7 of 22.

Sharmi said:   1 decade ago
Any shortcut to solve this problem?

Vicky said:   1 decade ago
Shortcut guys,

1600*5/100*6/12 = 40 then after 6 months 1600+1600 = 3200 & also 40 will be interest calculate.

3200*5/100*6/12 = 80.

40*5/100*6/12 = 1.

= 40+80+1 = 121 Answer.

Anshika said:   1 decade ago
Hey guys can someone guide me. If time period is given 3/4 years in a question of compound interest compounded annually then which formula to use?

Preeti said:   1 decade ago
I can't understand why the time is 1st year for deposition on jan and 1/2 on july?

Vishal said:   1 decade ago
If compound interest is given and no.of years have to be calculate then?

Priya said:   1 decade ago
Hello @Preeti.

In first case it is 1 year because its from 1st Jan to end of the year so its of 12 months = 1 year.

In sec case it is 1/2 year because its from 1st July to end of the year its of 6 months = 1/2 year.

Hope you ll get.

Venkatesan M said:   1 decade ago
1st Jan-First Half Yr 1600 x 5/100 x 6/12 = 40.00.
1st Jan-Second Half Yr (1600+40)x 5/100 x 6/12 = 41.00.
1st Jul-second Half Yr 1600 x 5/100 x 6/112 = 40.00.
_______

Total Int = 121.00.

Venkatesan M said:   1 decade ago
SI : 625 x 4% x 2yr = ---------------------------------- 50.00.
CI : 625 x 4% x 1st Yr ------------------ 25.00.

(625+25) x 4% x 2nd yr ------------- 26.00.
          ------      -------
Total    51.00    50.00.

Difference between SI & CI (51.00 - 50.00) 1.00.

Shekhar said:   1 decade ago
Why did subtract one in most of cases? please reply.

Shail said:   1 decade ago
Hi,

What does "5% compound interest calculated on half-yearly basis" actually mean?

This 5% interest is, interest per annum.
Or interest per 6 months?


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