Priyan and Ritesh started a business by investing their capitals in the ratio 5:8, respectively. After 9 months Priyan increased his investment by Rs. 2,000 while Ritesh decreased his investment by Rs. 1,500. Find the total initial investment done by Priyan and Ritesh together if the profit earned by Priyan is Rs. 17,000 out of the total profit earned by both of them at the end of 1.5 years, which is Rs. 39,500?

Let the initial investment done by Priyan be 'Rs. 5x' So, initial investment done by Ritesh = 5x X (8/5) = Rs. '8x' Profits sharing ratio between Priyan and Ritesh = [{5x X 9 + (5x + 2000) X 9}:{8x X 9 + (8x - 1500) X 9}] = (90x + 18000):(144x - 13500) According to the data given: 17000:39500 = (90x + 18000):(234x + 4500) Or, 34:79 = (90x + 18000):(234x + 4500) Or, 7956x + 153000 = 7110x + 1422000 Or, 7956x - 7110x = 1422000 - 153000 Or, 846x = 1269000 So, x = 1500 So, total initial investment done by Priyan and Ritesh together = {(5 + 8) X 1500} = Rs. 19,500 Hence, the correct answer is C.