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B for Banana, C for Camel

The owner of a banana plantation has a camel. He wants to transport his 3000 bananas to the market, which is located after the desert. The distance between his banana plantation and the market is about 1000 kilometer. So he decided to take his camel to carry the bananas. The camel can carry at the maximum of 1000 bananas at a time, and it eats one banana for every kilometer it travels. What is the largest number of bananas that can be delivered to the market?

SOLUTION : The answer is 400. The camel takes 1000 bananas and travels 400 km. At that time, he is left with 600 bananas, it drops 200 bananas there and then he comes back with 400 bananas that it will eat during return. The camel takes 1000 bananas again and repeats the same process again. After second trip, there are 400 bananas at 400 km mark. Then it picks 1000 bananas, when it reaches 400 km mark, it would be left with 600 bananas, it picks 400 bananas from there (has a total of 1000 bananas now). The distance left to market was 600 km, and camel has 1000 bananas, it will eat 600 in the way, and reaches market with 400 bananas.

The answer has a mathematical explanation as well that what the answer cannot be greater than 400. But we will discuss that some other day.

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