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A bank offers compound interest at the rate 5% per annum calculated half yearly on its deposits. A customer deposits Rs. 2,400 each on 1st January and
Question

A bank offers compound interest at the rate 5% per annum calculated half yearly on its deposits. A customer deposits Rs. 2,400 each on 1st January and 1st July of a year. Find the amount he received at the end of the year. 

A.

Rs. 180.50

B.

Rs. 4,981.50

C.

Rs. 181.50

D.

Rs. 4081.50

Correct option is B

Amount=Principal(1+R100)tAmount = Principal ( {1+\frac{R}{100}})^t

When interest is compounded half- yearly , then rate becomes half and time gets doubled.
Final Amount = Amount received on 1st Jan principal + Amount received on 1st July principal

Final Amount = 2400(1+2.5100)2+2400(1+2.5100) 2400 ( {1+\frac{2.5}{100}})^2 + 2400 ( {1+\frac{2.5}{100}})

Final Amount = Rs. 4981.5

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