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# find the compound interest on rupees 5000 for 2 years at the rate of 10% per annum the interest being compounded half yearly​

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$2320.5 We need to calculate the Compound interest Formula of Compound interest (CI): CI = A - P ⇒ A is Total amount P is Principal deposit Principal deposit is Rs. 5000 but we dont know the Total amount Formula for Total amount (A): A=P(1+r/100)^{n}A=P(1+r/100) n ⇒ r is annual rate n is number of years Since it is half yearly n will be 2n So \begin{gathered}A=P(1+r/100)^{2n}\\A=5000(1+10/100)^{2*2}\\A=5000(1+0.1)^{4}\\A=5000(1.1)^{4}\\A=5000*1.4641\\A=Rs.7320.5\end{gathered} A=P(1+r/100) 2n A=5000(1+10/100) 2∗2 A=5000(1+0.1) 4 A=5000(1.1) 4 A=5000∗1.4641 A=Rs.7320.5 So Compound interest will be A - P 7320.5 - 5000$2320.5

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