GATE Overflow | General Aptitude | Test 2 | Question: 3

Question

Anupama and Swathy bought $1$ acre of land for Rs. $2$ lakhs in year $2010.$ Anupama planted coconut and lemon trees in the ratio $4:1$ on equal area 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 $2017,$ the total revenue generated was $25\%$ of the total amount put in by Anupama and Swathy together. The revenue generated from the coconut and lemon trees were in the ratio $3:2$ and it was shared equally by Anupama and Swathy as the initial amount spent by them were equal.

What was the ratio of yields per acre of land for coconuts & lemons?
 

• A. $3:2$
• B. $2:3$
• C. $1:1 $
• D. cannot be determined.

Answer 1

The revenue generated from the coconut and lemon trees were in the ratio $3:2$

Since, coconut and lemon were planted on equal amount of land and the price of land being the same, their yield per acre will also be in the ratio
$3:2.$

Comments

But Sir if i see in this way,

profit 50,000 ===> (30,000 for cocunut + 20,000 for lemon)

 

but the question asks yield per area  ratio of coconut and lemon (since the area is equal let us ignore it)

therefore let us find out the ratio of yield of coconut to lemon.

now we know 5rs per coconut therefore 30,000/5 = 6000 coconuts

but we don't know the price of each lemon so let us consider it X, therefore, 20,000/X lemons 

Now,

yield of coconut : yield of lemons 

ie no. of coconuts grown : no. of lemons grown

=> 6,000 / (20,000/x)

hence D ie cant be determined (Ans)

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Question asks for yield per area. How many coconut tree you grow there or how many coconuts are produced are irrelevant if we know the yield per area.