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Question

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:

Options:
A .  Rs 120
B .  Rs 121
C .  Rs 122
D .  Rs 123
E .  None of these
Answer: Option B
 -     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

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