Find the number of oranges


A little girl I know sells orange^ from door to door.
One day while on her rounds she sold 1/2 an orange more than half her oranges to the first customer. To the second customer she sold 1/2 an orange more than half of the remainder and to the third and the last customer she sold 1/2 an orange more than half she now had, leaving her none.
Can you tell the number of oranges she originally had? Oh, by the way, she never had to cut an orange

JamesBond Guru Asked on 26th July 2015 in Interview Puzzles.
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  • 1 Answer(s)

    In order that the little girl should have disposed of the oranges she had remaining after her second  sale, she; must have had at least one whole orange remaining so that she could deduct from it ‘half of her oranges plus half an orange’, for the third and the final sale. Therefore, if 1 orange represents half of the remaining after the second sale, then she must have sold two oranges in her second sale, leaving the 3 oranges after the first sale.
    Lastly if three oranges only represent half the original number, plus half an orange, then she must have started with [ (3×2)+1] or 7 oranges.

    John123 Expert Answered on 26th July 2015.
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