A number theory problem by mithun roy
A parson has 3 bags full of fruits and each bag can only be filled with 30 fruits each.He has to pass through 30 gates to go to selling point . At each gate he has to give one fruit each per bag. If he sells the remaining fruits 30 rupees each at selling point. How much money does he make at the end of the day?
The answer is 750.
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1 solution
At each gate for first 10 gates he will give 30 fruits , that makes one bag less. similarly for the next 10 gates he will give 20 fruits (2 for gate as he is carrying only 2 bags now). After 25 gates he will be carrying only 1 bag with 30 fruits , from which he will give 5 fruits for last 5 gates. he will be left with 25 fruits as he reaches sell point 25 * 30 = 750 rupees