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:
Answer: Option
Explanation:
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= Rs. 3321. |
C.I. = Rs. (3321 - 3200) = Rs. 121
Discussion:
220 comments Page 12 of 22.
Gurpreet said:
1 decade ago
Because 3200 is the total amount of one year which is principle.
Thirumurugan sundaram said:
1 decade ago
I think it will be as correct answer for everyone, the first deposit amt is 1600, after six month total amt is 1640 (Including 5% of one year interest for six months). We should assign this as A-case.
Next July 1st day second deposit amt is 1600, It should be as B-case. The end of the year amt is 1640 (Including 5% of one year interest of six months). But A-case deposited at one year, So total Mature amt is 1681 (Including 5% of one year interest of twelve months. Interest of Rs. 40 is Rs-1, So amt Rs-40 became as Rs-41).
Finally A-case + B-case are 1681 + 1640 = 3321. Deposit amt is Rs-3200 and Interest amt is Rs-121.
Next July 1st day second deposit amt is 1600, It should be as B-case. The end of the year amt is 1640 (Including 5% of one year interest of six months). But A-case deposited at one year, So total Mature amt is 1681 (Including 5% of one year interest of twelve months. Interest of Rs. 40 is Rs-1, So amt Rs-40 became as Rs-41).
Finally A-case + B-case are 1681 + 1640 = 3321. Deposit amt is Rs-3200 and Interest amt is Rs-121.
PRASOON DAWN said:
1 decade ago
I am not able to understand the problem in these quick steps. Can anyone please help me understand in detailed process.
Prathik said:
1 decade ago
Guys most of you might be confused with the formula, lets do this way:
1st 6 months deposit = 1600,
Interest earned at 5% upto July = (1600 x 5/100 x 1/2) = 40.
Note: In compound interest interest gets added to the principle.
So P = 1640 now, and next deposit in July = 1600.
Total deposit = (1640+1600), interest = (3240 x 5/100 x 1/2) = 81.
Total profit earned as interest = 40+81 = 121.
Hope this helps.
1st 6 months deposit = 1600,
Interest earned at 5% upto July = (1600 x 5/100 x 1/2) = 40.
Note: In compound interest interest gets added to the principle.
So P = 1640 now, and next deposit in July = 1600.
Total deposit = (1640+1600), interest = (3240 x 5/100 x 1/2) = 81.
Total profit earned as interest = 40+81 = 121.
Hope this helps.
Anna said:
1 decade ago
Your answer are so useful guys. Keep it up.
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.
Please give some suggestion to improve my aptitude problem solving ability.
Dias said:
1 decade ago
Is there any other way to solve this problem?
Monalisa said:
1 decade ago
I am confused somebody help me a better way to do this problem?
Anu said:
1 decade ago
1600+1600 = 3200.
Nidhi said:
1 decade ago
Thanks @Anu you explain it nicely.
Here half yearly means every six months so the amount of 1600 is submitted two times so that it become 3200.
Thank you all have a good day.
Here half yearly means every six months so the amount of 1600 is submitted two times so that it become 3200.
Thank you all have a good day.
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