Sameer and Rohan started a business by investing their capitals in the ratio 5:7, respectively. After 10 months Sameer increased his investment by Rs. 4,000 while Rohan decreased his investment by Rs. 3,000. Find the total initial investment done by Sameer and Rohan together if the profit earned by Sameer is Rs. 37,750 out of the total profit earned by both of them at the end of 1.5 years, which is Rs. 82,000?

Let the initial investment done by Sameer be 'Rs. 5x' So, initial investment done by Rohan = 5x X (7/5) = Rs. '7x' Profits sharing ratio between Sameer and Rohan = [{5x X 10 + (5x + 4000) X 8}:{7x X 10 + (7x - 3000) X 8}] = (90x + 32000):(126x - 24000) According to the data given: 37750:82000 = (90x + 32000):(216x + 8000) Or, 151:328 = (90x + 32000):(216x + 8000) Or, 32616x + 1208000 = 29520x + 10496000 Or, 32616x - 29520x = 10496000 - 1208000 Or, 3096x = 9288000 So, x = 3000 So, total initial investment done by Sameer and Rohan together = {(5 + 7) X 3000} = Rs. 36,000 Hence, the correct answer is C.