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    Question

    Rs. 5,100 is invested in three parts all at simple

    interest of 8% p.a. These three parts are invested randomly for 1 year, 2 years and 5 years such that the interest received from the given three parts after desired period of investment is same. Find the difference between the smallest and the largest part of the investment.
    A Rs. 2,400 Correct Answer Incorrect Answer
    B Rs. 2,100 Correct Answer Incorrect Answer
    C Rs. 2,800 Correct Answer Incorrect Answer
    D Rs. 1,700 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the amount invested in three parts be Rs. тАШpтАЩ, Rs. тАШqтАЩ and Rs. тАШrтАЩ ATQ; (p ├Ч 0.08 ├Ч 1) = (q ├Ч 0.08 ├Ч 2) = (r ├Ч 0.08 ├Ч 5) Or,
    p = 2q = 5r Let p = 2q = 5r = тАШ10tтАЩ So,
    p = 10t
    q = 5t
    r = 2t So,
    p + q + r = 5100 Or,
    10t + 5t + 2t = 5100 Or,
    17t = 5100 Or,
    t = 300 So, required difference = 10t тИТ 2t = 8t = 8 ├Ч 300 = Rs. 2,400

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