Comprehension
Ram sold 10 acres of land to Mani and Dinesh who
paid him the total amount in the ratio of 2 : 3. Mani
invested a further `3 lakh in the land for the purpose
of planting coconut and lemon trees in the ratio of
4:1. These trees were planted on equal areas of land.
There were a total of 200 lemon trees. The sale price
of one coconut was `10 in 2019. The crop took 7
years to mature and when the crop was reaped in
2019, the total revenue generated was 50% of the
total initial amount put in by Mani and Dinesh together.
The revenue generated from the coconut and lemon
trees was in the ratio of 5 : 4 and it was shared equally
by Mani and Dinesh as the initial amount spent by
them was equal.
Question: 1
How many coconuts were reaped?
How many coconuts were reaped?
Show Hint
When solving for the number of items (in this case, coconuts), start by determining the total investment and the ratio of revenue generated. Then, use the given price per unit to calculate the total number of items.
Updated On: Mar 9, 2025
- 24000
- 50000
- 25000
- 19000
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The Correct Option is B
Solution and Explanation
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.
- 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.
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