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CMI2015-B-03a

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A cook has a kitchen at the top of a hill, where she can prepare rotis. Each roti costs one rupee to prepare. She can sell rotis for two rupees a piece at a stall down the hill. Once she goes down the steep hill, she can not climb back in time make more rotis.

Suppose the cook starts at the top with $R$ rupees. What are all the possible amounts of money she can have at the end?

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cook starts at the top with=R Rupees

Let No. of prepared rotis=X 

Each roti costs to prepare = 1 Rupee

Cost of X rotis = X rupees

Selling Price of X roties =2*X

 possible amounts of money she can have at the end =R - X +2 X = R+X

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