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    Question

    Arjun acquired a smartphone with a price tag of Rs.

    18,000. For the initial payment, he paid Rs. 2,160. The remainder was to be paid in two equal installments, but with a twist. The installments were subject to compound interest at a rate of 20% per annum, compounded annually. Calculate the value of each installment.
    A Rs.10,368 Correct Answer Incorrect Answer
    B Rs.10,368 Correct Answer Incorrect Answer
    C Rs.10,355 Correct Answer Incorrect Answer
    D Rs.11,368 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Amount due after down payment = 18000 тАУ 2160 = Rs. 15,840 Let the amount of each instalment be Rs. тАШaтАЩ Amount to be paid at the end of 1st year = 1.2 ├Ч 15840 = Rs. 19,008 According to the question, 1.2 ├Ч (19008 тАУ a) = a Or, 1.2 ├Ч 19008 тАУ 1.2a = a Or, 2.2a = 1.2 ├Ч 19008 Or, a = {(1.2 ├Ч 19008)/2.2} = 10368 Therefore, each installment = Rs.10,368

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