Instructions

Answer the questions based on the following information.

Krishna distributed 10-acre land to Gopal and Ram who paid him the total amount in the ratio 2 : 3. Gopal invested a further Rs. 2 lakh in the land and planted coconut and lemon trees in the ratio 5 : 1 on equal areas of land. There were a total of 100 lemon trees. The cost of one coconut was Rs. 5. The crop took 7 years to mature and when the crop was reaped in 1997, the total revenue generated was 25% of the total amount put in by Gopal and Ram together. The revenue generated from the coconut and lemon trees was in the ratio 3 : 2 and it was shared equally by Gopal and Ram as the initial amount spent by them were equal.

Question 16

What was the value of output per tree for coconuts?

Solution

Let the amounts paid by Gopal and Ram to Krishna be 2X and 3X.

Gopal invested 2 lakhs additionally.
So, the total amount spent by him is 2X+2.
As the total amounts spent by the two of them are equal, it implies that 2X+2 = 3X or X = 2
Hence, the cost of the land is 2X+3X = 5X = 10 lakhs.
Total investment by the two of them is 10+2 = 12 lakhs

Hence, the total revenue generated is 12*25% = 3 lakhs.
The revenue generated by coconuts is $$3*\frac{3}{3+2} = 3*\frac{3}{5} = 1.8$$ lakhs

The number of coconut trees is 5 times the number of lemon trees = 100*5 = 500
So, the value of output per trees for coconuts is $$\frac{180000}{500} = 360$$

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What was the value of output per tree for coconuts?

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