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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:

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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:

[A]. Rs. 120
[B]. Rs. 121
[C]. Rs. 122
[D]. Rs. 123

Answer: Option B

Explanation:

Amount
= Rs. 1-sym-obracket-h1 1600 x 1-sym-oparen-h1 1 + 5 1-sym-cparen-h1 2 + 1600 x 1-sym-oparen-h1 1 + 5 1-sym-cparen-h1 1-sym-cbracket-h1
2 x 100 2 x 100
 
= Rs. 1-sym-obracket-h1 1600 x 41 x 41 + 1600 x 41 1-sym-cbracket-h1
40 40 40
 
= Rs. 1-sym-obracket-h1 1600 x 41 1-sym-oparen-h1 41 + 1 1-sym-cparen-h1 1-sym-cbracket-h1
40 40
 
= Rs. 1-sym-obracket-h1 1600 x 41 x 81 1-sym-cbracket-h1
40 x 40
  = Rs. 3321.

 C.I. = Rs. (3321 - 3200) = Rs. 121

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