Rs.6000 is divided into two parts such that if one part be invested at 5% and the other at 8%, the annual interest from both the investments is Rs. 435. Find each part.
Let the amount lent at 5% rate = Rs. x. Then, amount lent at 8% rate = 6000 - x So, => 5% of x + 8% of (6000 - x) = 435 => 8% of 6000 – 3% of x = 435 => 480 – 3% of x = 435 => 3% of x = 45 => x = (45/3) × 100 => x = Rs. 1500 Amount lent at 5% rate = Rs. 1500 Amount lent at 8% rate = 6000 – 1500 = Rs.4500
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