A man ‘Ramesh’, who owns a plot of land of 100 square yards, increases his plot of land by acquiring 10% more from his neighbour ‘Suresh’, who also owns 100 square yards land. After 2 years, he sells back 10% of the total plot to the neighbour. Which of the following is correct?

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69th BPSC Prelims Exam Official Paper (Held On: 30 Sept, 2023)
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  1. Ramesh’s land is more than Suresh
  2. Suresh’s land is more than Ramesh
  3. Both are equal 
  4. None of the above

Answer (Detailed Solution Below)

Option 2 : Suresh’s land is more than Ramesh
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Detailed Solution

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The Correct answer is Option 2. 

Key Points Let's calculate the land areas at each step:

Initially, Ramesh owns 100 square yards.
After acquiring 10% more from Suresh, Ramesh's land increases to 
100+10/100×100= 110 square yards.

After 2 years, Ramesh sells back 10% of the total plot. So, he sells back 
10%×110=11 square yards.
After selling back, Ramesh's land will be  110−11=99 square yards.
Suresh's land remains unchanged at 100 square yards.

Now, comparing the land areas:

Ramesh: 99 square yards
Suresh: 100 square yards
So, Suresh's land is more than Ramesh's land.

The correct option is:

Suresh’s land is more than Ramesh

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