Question: A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on January 1st and July 1st of a year. At the end of a year, the amount he would have gained by way of interest is how much? [SBI (SO) 2016]
Options:
A) Rs. 120
B) Rs. 121
C) Rs. 123
D) Rs. 122
E) Rs. 119
Show Answer
Answer:
Correct Answer: B
Solution:
- Amount
$ =[ 1600\times {{( 1+\frac{5}{200} )}^{2}}+1600( 1+\frac{5}{200} ) ] $
$ =( 1600\times \frac{41}{40}\times \frac{41}{40}+1600\times \frac{41}{40} ) $
$ =\frac{1600\times 41\times 81}{40\times 40}=Rs.,3321 $
$ \therefore $ Compound interest
$ =3321-3200=Rs.,121 $