Rs.5400 is divided into two parts such that if one part be invested at 6% and the other at 9%, the annual interest from both the investments is Rs. 435. Find each part.
Let the amount lent at 6% rate = Rs. x. Then, amount lent at 9% rate = 5400 - x So, => 6% of x + 9% of (5400 - x) = 435 => 9% of 5400 – 3% of x = 435 => 486 – 3% of x = 435 => 3% of x = 51 => x = (51/3) × 100 => x = Rs. 1700 Amount lent at 6% rate = Rs. 1700 Amount lent at 9% rate = 5400 – 1700 = Rs.3700
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