Rs.8000 is divided into two parts such that if one part be invested at 3% and the other at 7%, the annual interest from both the investments is Rs. 520. Find each part.
Let the amount lent at 3% rate = Rs. x. Then, amount lent at 7% rate = 8000 - x So, => 3% of x + 7% of (8000 - x) = 520 => 7% of 8000 – 4% of x = 520 => 560 – 4% of x = 520 => 4% of x = 40 => x = (40/4) × 100 => x = Rs. 1000 Amount lent at 3% rate = Rs. 1000 Amount lent at 7% rate = 8000 – 1000 = Rs.7000
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