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Math Help - comparison problem

  1. #1
    Member
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    comparison problem

    Hello, I have the following question:

    manufacturer X advertises 2 TB disks for $178 each
    manufacturer Y advertises 2 TB disks for $185 each

    So obviously manufacturer x is the better deal.

    However it is actually found that manufacturer X quotes the info with drives as unformatted TB (16% of disk space is lost when formatted).
    Additionally, manufacturer Y quotes the info with drives formatted in TiB.

    I have tried to solve the problem as follows. Can someone please confirm if I have this correct ?
    Thanks kindly for any help.

    Manufacturer X:
    2TB = 2,000,000,000 bytes
    2,000,000,000 x 0.84 = 1,680,000,000 bytes
    $178 / 1.68 = an actual price of $105.9524 per usable TB
    105.9524 x 2 = an actual price of $211.905 per usable 2 TB disk

    Manufacturer Y:
    1TiB = 1.099511627776 TB
    therefore each 2 TB disk = 1.099511627776 x 2 = 2.1990232555 TB
    therefore $185 / 2.1990232555 = $84.128 per TB,
    x 2 = an actual price of $168.257 per 2 TB disk

    From the above calculations we can see that manufacturer Y is actually the cheaper of the two.
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  2. #2
    MHF Contributor
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    Re: comparison problem

    Hey fran1942.

    Your work is spot on.
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