Aan die een kant: diensafspraak; maar aan die ander kant: uitroepfooi.

It sets up a contrast, just like on the one hand ... on the other hand in English.

• aan die een kant = on the one side / on the one hand
• aan die ander kant = on the other side / on the other hand

So the structure tells you that two different considerations are being compared or contrasted.

Afrikaans normally uses kant for this idiom, not a literal word for hand.

• kant literally means side
• So aan die een kant is literally on the one side
• But idiomatically it matches English on the one hand

This is a good example of how two languages can express the same idea with different imagery. A direct word-for-word translation from English would sound unnatural in Afrikaans.

Here aan is part of the fixed expression aan die een kant / aan die ander kant.

Very literally, aan often means something like at, on, or to, depending on context. In this expression, it helps form the idiomatic meaning on one side / on the one hand.

So it is best to learn aan die een kant as one chunk rather than trying to translate aan separately every time.

Maar means but, and it makes the contrast more explicit.

So:

• Aan die een kant ... aan die ander kant ... already suggests a contrast
• adding maar strengthens that contrast: ..., but on the other hand ...

In many contexts, Afrikaans can use the pair either with or without maar. With maar, the sentence sounds a bit more pointed and contrastive.

In full, normal sentence form, yes, you might expect a verb. But this line is written in an abbreviated, label-like style.

It works a bit like a heading, note, comparison line, or piece of business text. The full version could be something like:

• Aan die een kant is daar 'n diensafspraak, maar aan die ander kant is daar 'n uitroepfooi.

But Afrikaans, like English, often drops words in short written comparisons when the meaning is still clear. So this version is concise rather than fully expanded.

Because Afrikaans usually writes compound nouns as one word.

So:

• diens + afspraak → diensafspraak
• uitroep + fooi → uitroepfooi

This is very normal in Afrikaans and happens much more consistently than in English. English might write service appointment as two words, but Afrikaans strongly prefers the one-word compound.

This is something English speakers often need to get used to: if two nouns belong together as one concept, Afrikaans will very often join them.

They are both compound nouns.

• diensafspraak combines diens (service) and afspraak (appointment / arrangement)
• uitroepfooi combines uitroep (call-out) and fooi (fee)

In both cases, the second part is the main noun:

• an afspraak of the diens type
• a fooi of the uitroep type

That is a useful pattern to remember in Afrikaans compounds: the last part usually tells you what kind of thing it is overall.

Because this sentence is using a shortened, list-like style after the colons.

In a fuller sentence, you would often see an article such as 'n:

• ... is daar 'n diensafspraak ...
• ... is daar 'n uitroepfooi ...

But after a colon, especially in notes, headings, menus, forms, ads, or comparisons, Afrikaans often leaves out function words and just gives the key noun phrase.

So here the nouns behave more like labels than like fully built sentence parts.

Because een and ander are simply the words needed in each half of the pair.

• een = one
• ander = other

So the matching pattern is:

• aan die een kant = on the one hand
• aan die ander kant = on the other hand

You do not need an extra word to make ander match one more literally. This pairing is already the normal Afrikaans idiom.

They organize the sentence visually as a contrast between two items.

• the first colon introduces the first item: diensafspraak
• the semicolon separates the two contrasting halves
• the second colon introduces the second item: uitroepfooi

This punctuation gives the line a neat, businesslike, almost checklist-style feel. In more ordinary prose, someone might instead write a fuller sentence with commas and a verb. But this punctuation is quite natural for compact written comparison.

It feels more like compact written Afrikaans than casual everyday speech.

A speaker in conversation would probably use a fuller sentence, for example:

• Aan die een kant is dit 'n diensafspraak, maar aan die ander kant is daar 'n uitroepfooi.

The version you were given sounds like something you might see in:

• an invoice
• a service policy
• a website
• a brochure
• a comparison chart

So the grammar is fine, but the style is compressed and somewhat formal or commercial.