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 13 of 22.

Pragya said:   10 years ago
Good explanation.

Beaulah abigail said:   10 years ago
Someone please explain the question.

Rohan said:   10 years ago
Please explain the 1st question I am not able to understand.

Aps said:   10 years ago
I don't understand please explain it.

Nikesh said:   10 years ago
Please solve this question.

In how many years will a sum of Rs 800 at 10% per annum compounded semiannually becomes Rs 926.10.

Is this process wrong?

926.1 = 800(1+5/200))^2n.

Where n is in half yearly. I got 4/5.

Hanmanth said:   10 years ago
How 3200 is coming please explain detail me?

Donalika said:   10 years ago
Easy way to do it quite clearly.

Double the amount of 1600 = 1600+1600 = 3200.

Is this way is correct? I think its correct.

Sirisha said:   10 years ago
How come 81/40? Can any one explain?

SPG said:   10 years ago
5/2 (since half yearly, had it been quarterly 5/4 or monthly 5/12).

= 2.5 => 100 + 2.5 = 102.5 => 102.5/100 = 1.025.

For 1st amount = 1600 * 1.025 * 1.025 = 1681.

For 2nd amount = 1600 * 1.025 = 1640.

Therefore interest earned 81 + 40 = 121.

KISHOR said:   10 years ago
For half yearly basis (R) = 5/2 = 2.5%.

(2.5% of 1600)/100 = 1600*2.5. = 40

Customer has rs 1600 + 40 = 1640.

He again adds 1600 on 1st July so 1600 + 1640 = 3240.

(2.5% of 3240)/100 = 3240*2.5 = 81.

Therefore, total interest earned is 81 + 41 = 121.


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