Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?

$$\eqalign{ & {\text{Simran}}\,{\text{:}}\,{\text{Nanda}} \cr & = \left( {50000 \times 36} \right):\left( {80000 \times 30} \right) \cr & = 3:4 \cr & \therefore {\text{Simran's}}\,{\text{share}} \cr & = Rs.\,\left( {24500 \times \frac{3}{7}} \right) \cr & = Rs.\,10,500 \cr} $$