Q$1$: Video Compression

Charlie has a high$-$definition video file that initially occupies $2$ gigabytes $($GB$)$ of space. Through a video compression process, the file size is reduced to $1\mathrm{.}2$ GB$.$ Calculate the compression ratio and the percentage of space saved.

Q$2$: File Archiving

Eva is archiving a folder of various files totaling $120$ megabytes $($MB$)$ using a compression tool. After compression, the archive file is $80$ MB$.$ Calculate the compression ratio and the percentage of space saved during archiving.

Q$3$: Database Compression

Frank manages a database with a table that takes up $500$ megabytes $($MB$)$ of storage. After implementing a database compression technique, the size is reduced to $200$ MB$.$ Determine the compression ratio and the percentage reduction in space usage.

Q$4$: Image Decompression

Eva compressed a folder of images, achieving a space savings of $60\%.$ If the compressed folder size is $80$ gigabytes $($GB$),$ determine the initial size of the folder.

Q$5$: Database Decompression

Frank compressed a database table with an initial size of $500$ MB$,$ achieving a compression ratio of $2\mathrm{.}5.$ Calculate the compressed size, and find the initial size.