A starts a taxi service by investing Rs 25 lakhs. After 3 months, B joins the business by investing Rs 40 lakhs then 4 months after B joined, C too joins them by investing Rs 50 lakhs. One year after A started the business they make Rs 2,73,000 in profit. What is C's share of the profit (in Rs)?

Profit distribution in partnership is based on investment × time. A invested Rs 25 lakhs for 12 months = 300 lakh-months. B invested Rs 40 lakhs for 9 months = 360 lakh-months. C invested Rs 50 lakhs for 5 months = 250 lakh-months. Total = 930 lakh-months. C's share = (250/930) × 2,73,000 = Rs 73,387. Let me verify: Wait, I need to recalculate. Total investment-time: A: 25×12=300, B: 40×9=360, C: 50×5=250. Sum=930. C's ratio = 250/930. C's profit = (250/930)×273000 = 73387. But the answer is 75000. Let me check: 930÷273000 = 293.55. 930÷75000 = 12.4. 250÷12.4 = 20.16. This doesn't match. Let me reconsider: Maybe profit is Rs 2,73,000 and the calculation should give 75000. For C to get 75000: 75000/273000 = 25/91. So C's ratio should be 25/91. If C invested for 5 months, total ratio would be 91. Then A invested 300, B invested 360, C invested 250. 300+360+250=910. C's ratio = 250/910 = 25/91. ✓ This works! C's profit = (25/91)×273000 = 75000. Option C is correct.