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 11 of 22.

Santhiya said:   4 years ago
1600* 5/100=80.
For 6 month : 80/2= 40
3200+40(including previous)=3240*5/100=162. For the next 6 month, the value will be 81.
Now we have to add 40 + 81.
(8)

Jen said:   8 years ago
Hi, I don't understand how you set up the calculations in that way. The formula is fv=pv (1+r) n. Aren't the calculations suppose to be fv=1600 (1+0.05)1?

Swarna said:   1 decade ago
Such a brilliant answers I got here. How you people can make this possible?

Please give some suggestion to improve my aptitude problem solving ability.

Priya said:   1 decade ago
Can you tell me how come it's 5 months it should be 6 month written, 1 jan to 1 july the time period is 7 month in this question they ask half yearly??

NARENDRA SINGH said:   7 years ago
Ist half interest =1600*1/40 = 40,
IInd half interest/(1600+1600) * 1/40 = 80,
interest on Ist half intrest = 40 * 1/40 = 1,
Total CI= 40+80+1 = 121.

INDHU said:   8 years ago
I did not understand the first calculative statement please help me.

Why [1600 x (1 + 5/2 x 100 )] this step is taken after the half-yearly count?

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?

Shubham said:   7 years ago
I think the answer is not 121. It's 122. Because here 5% in not annually, it is half yearly. It is clearly mentioned in the question. Am I right?

Umang B. said:   8 years ago
Half yearly formula is used in which for case 1: (of january) n=1;.

Half yearly formula is used in which for case 2: (of july) n=1/2(6 months);

Brijesh said:   9 years ago
1:- 6 month 1600 * 5 * 1/2 * 100 = 40.
2:- 6 month 1640 + 1600 = 3240.
3240 * 5 * 1/2 * 100 = 81.
Total:-3321 - 3200 = 121.


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