Varun and Tarun started a business by investing their capitals in the ratio 2:3, respectively. After 6 months Varun increased his investment by Rs. 2,500 while Tarun decreased his investment by Rs. 1,500. Find the total initial investment done by Varun and Tarun together if the profit earned by Varun is Rs. 22,500 out of the total profit earned by both of them at the end of 1 year, which is Rs. 51,000?

Let the initial investment done by Varun be 'Rs. 2x' So, initial investment done by Tarun = 2x X (3/2) = Rs. '3x' Profits sharing ratio between Varun and Tarun = [{2x X 6 + (2x + 2500) X 6}:{3x X 6 + (3x - 1500) X 6}] = (24x + 15000):(36x - 9000) According to the data given: 22500:51000 = (24x + 15000):(60x + 6000) Or, 15:34 = (24x + 15000):(60x + 6000) Or, 900x + 90000 = 816x + 510000 Or, 900x - 816x = 510000 - 90000 Or, 84x = 420000 So, x = 5000 So, total initial investment done by Varun and Tarun together = {(2 + 3) X 5000} = Rs. 25,000 Hence, the correct answer is B.