Latoo, Matoo and Gatoo entered into a partnership with initial investments in the ratio 9 : 6 : 5. After 3 months, Latoo, Matoo and Gatoo invested Rs. 24,000, Rs. 36,000 and Rs. 20,000 more. respectively. After 6 more months, Latoo, Matoo and Gatoo invested some more amount in the ratio 13 : 5 : 6. At the end of the year, the profit earned by them was Rs. 1,00,000. They invested the whole amount for one year and the profit earned in the business is proportional to the investment and the period of investment. How much profit was earned by Gatoo at the end of the year?