P , Q and R started a manufacturing plant together. P invests 5 lakhs, Q invests 6 lakhs rupees and R invests 4 lakhs rupees. In the first year the venture makes a profit of 1 lakh rupees. A part of profit is shared between Q and R in the ratio 3 : 2 and remaining profit is divided among P , Q and R in the ratio of their initial investment. The amount that Q receives is three times the amount that P receives. How much amount (in rs.)does R receives ?