Here are the steps to calculate the profitability index for this project:
1) Calculate the net present value (NPV) of the cash flows:
Year 1: CF = Rs. 40,000; PV Factor @ 10% = 0.909; PV = Rs. 40,000 * 0.909 = Rs. 36,360
Year 2: CF = Rs. 30,000; PV Factor @ 10% = 0.826; PV = Rs. 30,000 * 0.826 = Rs. 24,780
Year 3: CF = Rs. 50,000; PV Factor @ 10% = 0.751; PV = Rs. 50,000 * 0.751 = Rs. 37,