Krishan distributed 10-acre land to Gopal and Ram who paid him the total amoun int eh ratio `2:3`. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon tress in the ratio `5:1` on equal areas of land. There were a total of 100 lemon tress. the cost of one coconut was Rs. 5. the crop toolk 7 yr to mature and when the crop was reaped in 1997, the totla revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue gererated from the coconut and lemon tress was in the ratio `2:3` and it was shared equally by Gopal and ram as the initial amounts spent by them were equal.
What was the total output of coconuts ?

Options

A. Rs. 24,000
B. Rs. 36,000
C. Rs, 18,000
D. Rs. 48,000

Explanation

To solve the problem step by step, we will break down the information given and perform the necessary calculations.

### Step 1: Determine the total amount invested by Gopal and Ram
Gopal and Ram paid Krishna in the ratio of 2:3. Let the amounts paid by Gopal and Ram be 2x and 3x respectively.

Total amount paid = 2x + 3x = 5x.

### Step 2: Calculate the total amount put in by Gopal and Ram
Gopal invested an additional Rs. 2 lakh. Therefore, the total investment by Gopal becomes:
Total investment by Gopal = 2x + 2 lakh.

The total investment by Ram remains 3x.

### Step 3: Find the total investment together
Total investment = Total investment by Gopal + Total investment by Ram
= (2x + 2 lakh) + 3x
= 5x + 2 lakh.

### Step 4: Calculate the total revenue generated
The total revenue generated from the crops was 25% of the total amount put in by Gopal and Ram together:
Total revenue = 25% of (5x + 2 lakh) = 0.25 * (5x + 2 lakh).

### Step 5: Determine the revenue generated from coconut and lemon trees
The revenue generated from coconut and lemon trees was in the ratio of 2:3. Let the revenue from coconuts be 2y and from lemons be 3y.

Thus, we have:
2y + 3y = 5y (total revenue).

### Step 6: Set up the equation for total revenue
From the previous steps, we know that:
5y = 0.25 * (5x + 2 lakh).

### Step 7: Find the number of coconut trees planted
Gopal planted coconut and lemon trees in the ratio of 5:1. Since there are 100 lemon trees, the number of coconut trees can be calculated as follows:
Let the number of coconut trees be 5k and the number of lemon trees be k.
Given that k = 100 (lemon trees), we find:
5k = 5 * 100 = 500 (coconut trees).

### Step 8: Calculate the total output of coconuts
The cost of one coconut is Rs. 5. Therefore, the revenue generated from coconuts can be calculated as:
Revenue from coconuts = Number of coconut trees * Price per coconut
= 500 * 5 = Rs. 2500.

### Conclusion
The total output of coconuts is Rs. 2500.