Question:

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 Rs.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 Rs.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.

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When solving problems involving investments and returns, carefully follow the ratio and proportional breakdowns provided in the problem. Use these ratios to divide the revenue or cost accordingly.
Updated On: Mar 10, 2025
  • 24000
  • 50000
  • 25000
  • 19000
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The Correct Option is B

Solution and Explanation

Step 1: Total Investment and Revenue Breakdown
Let the total amount paid by both Mani and Dinesh be \( 2x \) and \( 3x \) respectively. Both invested equally and Mani invested 3 lakh. So, \[ 2x + 3x = 3,00,000 \, \quad x = 3. \] Thus, initial amounts paid by Mani and Dinesh are: \[ \text{Mani} = 6,00,000 \,, \quad \text{Dinesh} = 9,00,000 \,. \] Hence, total initial investment by Mani and Dinesh together is: \[ 6,00,000 \, + 9,00,000 \, = 18,00,000 \,. \]

Step 2: Total Revenue Generation
According to the problem, the total revenue generated is 50% of the total initial amount invested by both Mani and Dinesh, i.e., \( 50% \) of 18 lakh: \[ \text{Total revenue} = 0.5 \times 18,00,000 \, = 9,00,000 \,. \]

Step 3: Revenue from Coconut and Lemon Trees
The revenue generated from coconut and lemon trees is in the ratio 5 : 4. Thus, the total revenue of 9 lakh is divided in this ratio: \[ \text{Revenue from coconut} = \frac{5}{9} \times 9,00,000 \, = 5,00,000 \, \] \[\quad \text{Revenue from lemon} = \frac{4}{9} \times 9,00,000 \, = 4,00,000 \,. \]

Step 4: Number of Coconuts Reaped
Each coconut costs Rs.10. Hence, the total number of coconuts reaped is: \[ \frac{5,00,000 \,}{10} = 50,000. \] Thus, the correct answer is (B) 50000. Final Answer: The correct answer is (B) 50000.
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