Rs.9000 is divided into two parts such that if one part be invested at 5% and the other at 7%, the annual interest from both the investments is Rs. 580. Find each part.

Let the amount lent at 5% rate = Rs. x. Then, amount lent at 7% rate = 9000 - x So, => 5% of x + 7% of (9000 - x) = 580 => 7% of 9000 – 2% of x = 580 => 630 – 2% of x = 580 => 2% of x = 50 => x = (50/2) × 100 => x = Rs. 2500 Amount lent at 5% rate = Rs. 2500 Amount lent at 7% rate = 9000 – 2500 = Rs.6500

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