To solve this problem, we need to determine the share of Simran in the profit, based on the capital invested and the time for which it was invested.
Step 1: Determine the ratio of capital investment and time.
Simran's investment: Simran invested Rs 50,000 initially, and she kept her investment for 3 years.
Nanda's investment: Nanda joined after 6 months, investing Rs 80,000. This means Nanda’s investment was for 2.5 years (since the total time is 3 years and Nanda joined after 6 months).
We need to calculate the ratio of the product of capital invested and the time for which it was invested.
Simran’s contribution:
Capital = Rs 50,000
Time = 3 years
Contribution = 50,000 × 3 = 150,000
Nanda’s contribution:
Capital = Rs 80,000
Time = 2.5 years
Contribution = 80,000 × 2.5 = 200,000
Step 2: Find the total contribution.
Total contribution = Simran's contribution + Nanda's contribution Total contribution = 150,000 + 200,000 = 350,000
Step 3: Determine Simran's share in the total contribution.
Simran's share in the contribution = (Simran's contribution) / (Total contribution) Simran's share = 150,000 / 350,000 = 15/35 = 3/7
Step 4: Calculate Simran's share in the profit.
The total profit earned is Rs 24,500. Simran’s share in the profit will be: Simran’s share = (3/7) × 24,500 = 10,500
Final Answer:
Simran's share in the profit is Rs 10,500.
Thus, the correct option is B. Rs 10500.
