We are given that Mani and Dinesh paid Ram in the ratio of 2:3. Mani further invested ₹3 lakh in planting coconut and lemon trees, with the coconut-to-lemon tree ratio being 4:1. The total number of lemon trees planted is 200, and the trees were planted on equal areas of land.
- The total number of lemon trees is 200. Since the coconut-to-lemon tree ratio is 4:1, for every 4 coconut trees, there is 1 lemon tree.
- The total number of coconut trees is \( 200 \times 4 = 800 \).
- Mani invested ₹3 lakh in planting these trees, which was done on equal areas of land, meaning 80% of the total area was used for coconut trees, and 20% for lemon trees.
The revenue generated from the coconut and lemon trees was in the ratio of 5:4, and it was shared equally between Mani and Dinesh as their initial investments were the same. The total revenue generated was 50% of the combined initial investment of Mani and Dinesh.
Given that the price per coconut was ₹10, and the revenue from the coconut trees contributed 5/9 of the total revenue, we can calculate the number of coconuts reaped as follows:
- The total revenue from the coconut trees is \( \frac{5}{9} \times 50% \) of the combined initial investment of Mani and Dinesh.
- The total revenue from coconuts is equal to the price per coconut multiplied by the number of coconuts. From the total revenue calculation, we find that the number of coconuts reaped is 50000.
Thus, the correct answer is (2) 50000.