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Find the compound interest paid when a sum of 64,000 is invested for one year and six months at 5% per annum compounded half yearly.


Options:
A .   ₹5421
B .   ₹4830
C .   ₹8545
D .   ₹4921
Answer: Option D
:
D

Given that  P = ₹ 64,000  r = 5 % and n = 112 years
Since, the rate of interest is calculated annually , for 6 months it will be 2.5 %
A=P(1+r100)n
Here r = 52 % and n = 3 half years
A=64,000(1+52×100)3
A=64,000(4140)3
A=68921
Compound interest = Amount - Principal
                                     = 68921 - 64000
                                     = ₹ 4921



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