# Birbal- A Fruits Trader Puzzle

## Birbal – A Fruits Trader

In Birbal – A Fruits Trader Puzzle, Birbal is a witty trader who trades mystical fruit grown far in the north. He travels from one place to another with three sacks that can hold 30 fruits each. None of the sacks can hold more than 30 fruits. On his way, he has to pass through thirty checkpoints, and at each checkpoint, he has to give one fruit for each sack to the authorities. How many mystical fruits remain after he goes through all the thirty checkpoints?

### Solution

Here we have the solution for Birbal – A Fruits Trader Puzzle –

Remember we told you that Birbal is a witty trader. So his sole motive is to get rid of the sacks as fast as he can.

• He must be able to fill fruits from one sack to the other two sacks. Assume that he can do that after M checkpoints. Now to find M,

(Space in first sack) M + (Space in second sack) M = (Remaining fruits in Third Sack) 30 – M, here M = 10.

• Thus after 10 checkpoints, Birbal will be left with only 2 sacks containing 30 fruits each. Now he must get rid of the second sack.
• For that, he must fill the fruits from the second sack to the first sack. Assume that he manages to do that after N checkpoints.

(Space in First Sack) N = (Remaining fruits in second sack) 30 – N, here N = 15.

• Thus after crossing 25 checkpoints, he will be left with one sack which has 30 fruits. He has to pass five more checkpoints where he will have to give five fruits and then he will be left with 25 fruits once he has crossed all 30 checkpoints.

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