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SMO 2018 Junior Round 1 Question 12

SMO · SMO 2018 Junior Round 1

Question 12

A business man bought p identical mobile phones at a total cost of m dollars, where p is a prime and m is a positive integer. He sold 2 of the mobile phones each at half of the cost price to a charitable organisation and sold the rest of the mobile phones in his shop at a profit of 200 dollars per phone. If his total profit from selling all these mobile phones was 1800 dollars, find the least possible value of m.