Puzzle – Birbal: A Fruits Trader

Question: 

In Birbal – A Fruits Trader Puzzle, Birbal is a witty dealer who trades mystical fruit grown a long way withinside the north. He travels from one region to some other with 3 sacks which could keep 30 culmination every. None of the sacks can keep greater than 30 culmination. On his way, he has to by skip via thirty checkpoints, and at every checkpoint, he has to offer one fruit for every sack to the authorities. How many mystical culmination continue to be after he is going via all of the thirty checkpoints?

Solution:

As mentioned in the question Birbal is a witty trader and carries 3 sacks, so his main aim is to get rid of the sacks as fast as he can to avoid loss.
He must be able to fill the fruits from one sack to the other two sacks. Let’s assume that he can do that after M checkpoints. 

Now to compute M, logically we have, 
(First sack’s space) M + (Second sack’s space) M = (Remaining fruits in Third Sack) 30 – M. 
So on solving we get M = 10.
Therefore, after 10 checkpoints, Birbal will be left with only 2 sacks containing 30 fruits each. Now, he must get rid of the second sack to maximise his profit.
For that, he needs to fill the fruits from the second sack to the first one.
Let’s assume that he manages to accomplish that after N checkpoints. So again, logically, we have
(First Sack’s space) N = (Remaining fruits in the second sack) 30 – N, 
On computing the above equation, we get N = 15.
Thus, after crossing 25 checkpoints, he will be left with one sack, which has 30 fruits. 
As he has to pass five more checkpoints where he will have to give five fruits, and then he will be left with 25 fruits after crossing all 30 checkpoints.