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18 January, 04:14

In a hostel of 100 students, provision was sufficient for 30 days. After one week some more students were admitted, and the provision was consumed 3 days earlier. Find the number of students newly admitted.

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  1. 18 January, 07:32
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    Number of days for which the provisions would last initially = 30

    The number of days for which the

    provisions would last after new students joined = (30 - 3) days

    = 27 days

    So the number of students for which the provisions would last for 30 days = 100

    Then

    The number of students for which the provision would last for 1 day = (100/30)

    = 10/3

    So

    The number of students for which the provision would last for 27 days = (10/3) * 27

    = 90

    So

    The number of students that were admitted later = 100 - 90

    = 10

    So 10 students were admitted after one week.
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