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?
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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