Amit and Bimal started a business by investing their capitals in the ratio 3:5, respectively. After 6 months Amit increased his investment by Rs. 1,500 while Bimal decreased his investment by Rs. 1,000. Find the total initial investment done by Amit and Bimal together if the profit earned by Amit is Rs. 13,500 out of the total profit earned by both of them at the end of 1 year, which is Rs. 32,500?

Let the initial investment done by Amit be 'Rs. 3x' So, initial investment done by Bimal = 3x X (5/3) = Rs. '5x' Profits sharing ratio between Amit and Bimal = [{3x X 6 + (3x + 1500) X 6}:{5x X 6 + (5x - 1000) X 6}] = (36x + 9000):(60x - 6000) According to the data given: 13500:32500 = (36x + 9000):(96x + 3000) Or, 27:65 = (36x + 9000):(96x + 3000) Or, 2592x + 81000 = 2340x + 585000 Or, 2592x - 2340x = 585000 - 81000 Or, 252x = 504000 So, x = 2000 So, total initial investment done by Amit and Bimal together = {(3 + 5) X 2000} = Rs. 16,000 Hence, the correct answer is B.