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    Question

    A financial institution gives compound interest at the rate

    of 10% per annum, compounded half yearly. What is the interest earned after one year on a deposit of Rs. 40000?
    A 4100 Correct Answer Incorrect Answer
    B 4580 Correct Answer Incorrect Answer
    C 3570 Correct Answer Incorrect Answer
    D 5200 Correct Answer Incorrect Answer

    Solution

    ATQ,


    Effective rate of interest = 10 ├Ч (6/12) = 5%

    Effective time or number of terms = 2 half-years

    Amount received at compound interest = sum invested ├Ч {1 +
    (rate/100)}^number of terms

    Or, amount received = 40000 ├Ч {1 + (5/100)}^2

    = 40000 ├Ч (105/100) ├Ч (105/100) = Rs. 44100

    Therefore, interest earned = 44100 - 40000 = Rs. 4100

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