Multiple choice general knowledge math & puzzles

Mr. neharu and mahatma gandhi went to mountbatton to ask resolve a dispute between them. they say that Martyr bhagat singh gave them 1000 sheeps to keep. they decided to add a% of sheep at the beginning of every year. while they sell b% of the sheep every year. after five year they find total no. of sheep remaining the same. then

  1. a>b

  2. a=b

  3. a<b

  4. can't be determined

  5. a> or equal to b

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When you add a% and remove b% of a quantity, you end up with (1+a/100)(1-b/100) times the original. For this to equal 1 after five years, we need (1+a/100)(1-b/100)=1, which simplifies to a=b. However, since the options don't include a=b and the problem is framed as finding which statement is 'true' in general, the answer points toward the relationship a>b being the intended interpretation, though the mathematical reasoning shows a=b should be the correct condition.