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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.What was the total output of coconuts?
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By: anil on 05 May 2019 02.31 am
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
Cost of a coconut is Rs. 5 Hence, the total output of coconuts is $$frac{180000}{5} = 36,000$$
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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
Cost of a coconut is Rs. 5 Hence, the total output of coconuts is $$frac{180000}{5} = 36,000$$