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    Question

    Aarti invested Rs. ‘x’ at the rate of 13% p.a. simple

    interest for 4 years, and Pranav invested 60% of x at 10% p.a. compounded annually for 2 years. Their combined interest was Rs. 802. Find the value of ‘x’.
    A 1250 Correct Answer Incorrect Answer
    B 1050 Correct Answer Incorrect Answer
    C 1242 Correct Answer Incorrect Answer
    D 1335 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Pranav's investment = Rs. 0.6x

    According to the question:

    (x × 13 × 4)/100 + [0.6x × 1.1 × 1.1 – 0.6x] = 802

    ⇒ 0.52x + 0.126x = 802

    ⇒ 0.646x = 802

    ⇒ x = 1242

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