A monkey has 200 bananas. He wants to transport as many bananas as possible to a destination which is 100 yards away. The monkey cannot carry more than 100 bananas at a time and he must eat a banana every yard it travels (regardless of the direction he walks). What is the maximum number of bananas that can be transferred to the destination?

If he decides to carry 100 banana straight through the whole 100yards. He would be left with no banana at the end of the journey and will not have enough banana to be able to come back and carry the rest.

Therefore, the best way is to transfer all the banana to a destination where he will be left with 100bananas that he can then move at once to the final destination.

To move 200 bananas to a particular destination given that he can carry only 100 banana each.

He would need to travel twice that means ( three trips i.e leave 100 return with 0 leave 0)

For three trips through a particular length in yards to exhaust 100 yards. The length in yards is given as

100 = 3 × l

l = 100/3

l = 33 yards

Travelling 33 yards he would be left with 100 bananas that he can carry in just one trip through the rest of the journey which is 100 -33 yards = 67yards

Carrying 100 bananas through 67 yards in one trip

He will exhaust;

1 banana per yard × 67yards = 67 bananas

Therefore, he would be left with

100 - 67 bananas

= 33 bananas