Thread: 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.

Hey fran1942.

Your work is spot on.