Hodinová sazba zůstane stejná za předpokladu, že zaplatíme kauci.

Hodinová sazba is the subject of the sentence, so it is in the nominative singular.

• sazba = rate and is a feminine singular noun
• hodinová = hourly and agrees with sazba in gender, number, and case

So the whole phrase means hourly rate and functions grammatically as the thing that will remain the same.

Because stejná agrees with sazba, which is feminine singular.

Here stejná is a predicate adjective after zůstane (will remain), so Czech uses the adjective in a form that matches the subject:

• sazba = feminine singular
• stejná = feminine singular

So Hodinová sazba zůstane stejná literally means The hourly rate will remain same, where English would normally say the same.

Zůstane is the 3rd person singular future of zůstat (to remain / to stay).

It matches the subject hodinová sazba, which is singular, so Czech uses a singular verb form.

So:

• zůstat = to remain
• zůstane = will remain

Because zaplatit is a perfective verb.

In Czech, perfective verbs do not normally have a true present meaning. Their non-past forms usually refer to the future.

So:

• platíme from platit (imperfective) = we pay / we are paying
• zaplatíme from zaplatit (perfective) = we will pay

That is why že zaplatíme kauci means that we will pay the deposit.

Czech usually omits subject pronouns when they are clear from the verb ending.

The ending -íme already tells you the subject is we.

So:

• zaplatíme = we will pay

You could add my (we) for emphasis, but it is not necessary:

• že my zaplatíme kauci = that we will pay the deposit
  This sounds more emphatic or contrastive.

Yes, it is somewhat formal. It means something like:

• provided that
• on the condition that
• assuming that

It is common in business, legal, or formal written language.

A more everyday alternative would often be:

• pokud zaplatíme kauci
• jestliže zaplatíme kauci

It is best to learn za předpokladu, že as a fixed expression rather than trying to build it word by word every time.

Because že zaplatíme kauci is a subordinate clause, and Czech normally separates subordinate clauses with a comma.

So the comma in:

za předpokladu, že zaplatíme kauci

is standard and expected.

This is one of those places where Czech punctuation is often more regular than English punctuation.

Because kauci is the accusative singular form of kauce (deposit).

It is in the accusative because it is the direct object of zaplatíme (we will pay).

So:

• kauce = nominative singular
• kauci = accusative singular

That is a very common pattern with feminine nouns ending in -e.

Yes. Czech word order is fairly flexible, although some versions sound more natural than others depending on emphasis.

For example, you could also say:

Za předpokladu, že zaplatíme kauci, hodinová sazba zůstane stejná.

This puts the condition first, which can sound a bit more structured or formal.

The original sentence is perfectly natural too. The choice is mostly about focus and style, not a big change in meaning.

Because Czech has no articles.

So hodinová sazba can mean:

• the hourly rate
• an hourly rate
• just hourly rate

and kauci can mean the deposit or a deposit, depending on context.

English requires articles, but Czech usually lets the context do that job.