How Much Toll Will A Man Travelling From Kerala to Mumbai Pay With Coconuts
Read the riddle and help the man calculate the toll.
A man leaves from Kerala with 3 sacks of 30 coconuts each.
He comes across 30 tolls till he reaches Mumbai.
He has to give 1 coconut for each sack containing coconuts as toll tax at every toll.
How much coconuts are left with him at Mumbai.
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Answer:
The man has to give one coconut for every sack he carries and so he will first try to get rid of the sacks.
So at first 10 tolls he will give 3 coconuts for each sack from one particular sack (say 3rd sack).
After crossing 10 checkpoints, he will transfer all the coconuts in 2 sacks and get rid of the 3rd sack; so only 2 sacks with 30 coconuts each will be left.
Now for next 15 checkpoints he will give 2 coconuts for each sack, so for these 15 tolls he will give total 30 coconuts.
Now he is left with only 1 sack containing 30 coconuts and 5 toll booths to go.
Now for the remaining 5 tolls left he will give 1 coconut each.
So in all he pays 65 (30 + 30 + 5) coconuts as tolls he starts with 90 coconuts (30 each in 3 bags).
So remaining Coconuts = 90 – 65 = 25
Hence, he will be left with 1 sack containing 25 coconuts.