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    Question

    Aman lends 50% of his sum of money at 17% per annum, 40%

    of rest at 12% per annum and the rest at 15% per annum rate of interest. What would be the annual rate of interest, if the interest is calculated on the whole sum?
    A 18.4% Correct Answer Incorrect Answer
    B 12% Correct Answer Incorrect Answer
    C 13% Correct Answer Incorrect Answer
    D 15.4% Correct Answer Incorrect Answer

    Solution

    Let the person have Rs. 100 Then SI for 1 year = Rs. [(50 × 17 × 1)/100 + (20 × 12 × 1)/100 + (30 × 15 × 1)/100] = Rs. (8.5 + 2.4 + 4.5) = Rs. 15.4 ∴ Rate of interest on whole sum = 15.4%

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