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    Question

    Nisha deposited Rs. тАШPтАЩ in a bank offering compound

    interest of 11% p.a. compounded annually. After 2 years, she invested the amount received from the bank in scheme тАШIтАЩ and тАШJтАЩ in the ratio of 6:5 respectively. Scheme тАШJтАЩ offers compound interest of 19% p.a. compounded annually while scheme тАШIтАЩ offers simple interest of 13% p.a. If total interest received by her from schemes I and J together at the end of 2 years is Rs. 2794, then find the value of тАШPтАЩ.
    A Rs.4000 Correct Answer Incorrect Answer
    B Rs.4500 Correct Answer Incorrect Answer
    C Rs.6000 Correct Answer Incorrect Answer
    D Rs.5000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ Let amount invested in scheme тАШIтАЩ and scheme тАШJтАЩ be Rs. тАШ6tтАЩ and Rs. тАШ5tтАЩ, respectively. So, 0.13 ├Ч 2 ├Ч 6t + 0.38 ├Ч 5t = 2794 Or, 1.56t + 1.90t = 2794 Or, 3.46t = 2794 Or, t = 807.51 So, P = (6 ├Ч 807.51 + 5 ├Ч 807.51)/(1.11 ├Ч 1.11) = Rs. 5000

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