Here's the question bank on all the logical reasoning topics.
Rs. 1500 is invested in two parts such that if one part is invested at 6% and the other at 5%, the total interest in one year from both investments is Rs. 85. How much is invested at 5%?
FORMULA:Simple interest = (P × R × T) / 100Where, P = PrincipalR = Rate of interest T = TimeGiven:Principal = 1500, Time = 1 year.Rate of interest for first part = 6% Rate of interest for second part = 5%Calculation:Let, Principal of first part = x and Principal of second part = (1500 - x)Simple interest on the first part= (P × R × T) / 100= (x × 6 × 1) / 100= 6x / 100= 3x / 50Simple interest on the second part= (P × R × T) / 100= ((1500 - x) × 5 × ) / 100= (1500 - x) / 20Total S.I on one year = 85? 3x / 50 + (1500 - x) / 20 = 85? 6x - 5x + 7500 = 8500? x = 8500 - 7500? x = 1000Therefore the principle of the second part is (1500 - 1000) = Rs 500Hence, Rs 500 is invested at 5%.Alternate Method The rate of interest for one year= (Total S.I. × 100) / (P × T) = (85 × 100) / (1500 × 1) = (17/ 3)%Money invested at 5% = 1500 × (1 /3) = 500 Hence, Rs 500 is invested at 5%.
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