Bags of Coconuts

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A trader travels from one place to another with 3 bags having 30 coconuts each. No bags can hold more than 30 coconuts. On the way, he passes 30 check posts. At each check posts, he has to give one coconut for every bag he is carrying.

What is the maximum number of coconuts that he can have with him at the end of his journey?

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    Answer- 25 coconuts

    At three coconuts per post (one each for each bag), after crossing the 10th Check Post, the trader will have exhausted thirty coconuts, which is equivalent of one bag.
    So, thereafter, he will be carrying two bags only.

    For the next fifteen posts, he will have to spend 30 coconuts (one for each bag) again, thus exhausting one more bag, leaving just one bag of thirty coconuts.

    For the remaining 5 check posts, he will spend 5 more coconuts, leaving him with 25 coconuts.

    Viji_Pinarayi Expert Answered on 12th December 2017.
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